The Brown dwarf Atmosphere Monitoring (BAM) Project I:The largest near-IR monitoring survey of L & T dwarfs

The Brown dwarf Atmosphere Monitoring (BAM) Project I: The largest near-IR monitoring survey of L & T dwarfs

Key Words.:
stars: brown dwarfs – atmospheres – variables: general, techniques: photometric

Using the SofI instrument on the 3.5 m New Technology Telescope, we have conducted an extensive near-infrared monitoring survey of an unbiased sample of 69 brown dwarfs spanning the L0 to T8 spectral range, with at least one example of each spectral type. Each target was observed for a 2 – 4 hour period in the -band, and the median photometric precision of the data is  0.7%. A total of 14 brown dwarfs were identified as variables with min-to-max amplitudes ranging from 1.7% to 10.8% over the observed duration. All variables satisfy a statistical significance threshold with a -value % based on comparison with a median reference star light curve. Approximately half of the variables show pure sinusoidal amplitude variations similar to 2MASSJ2139+0220, and the remainder show multi-component variability in their light curves similar to SIMPJ0136+0933. It has been suggested that the L/T transition should be a region of a higher degree of variability if patchy clouds are present, and this survey was designed to test the patchy cloud model with photometric monitoring of both the L/T transition and non-transition brown dwarfs. The measured frequency of variables is % across the L7 – T4 spectral range, indistinguishable from the frequency of variables of the earlier spectral types (%), the later spectral types (%), or the combination of all non-transition region brown dwarfs (%). The variables are not concentrated in the transition, in a specific colour, or in binary systems. Of the brown dwarfs previously monitored for variability, only % maintained the state of variability (variable or constant), with the remaining switching states. The 14 variables include nine newly identified variables that will provide important systems for follow-up multi-wavelength monitoring to further investigate brown dwarf atmosphere physics.

1 Introduction

The L, T, and Y-type brown dwarfs represent a link between the coolest stars and giant planets. Many brown dwarfs are even cooler than currently observable exoplanetary atmospheres (e.g. HR8799b, HD189733b; Barman et al. 2011, Sing et al. 2009, 2011). The recently discovered Y dwarfs (Cushing et al. 2011) approach the temperature of Jupiter. Since brown dwarfs never achieve a stable nuclear burning phase, they cool throughout their lifetimes, and temperature, rather than mass, is the dominant factor in defining the spectral sequence. As they cool, their atmospheres undergo changes in the chemistry and physical processes that sculpt their emergent spectra. While spectroscopy can be used to investigate atmospheric constituents and chemistry, photometric monitoring is an effective means to search for evidence of surface brightness inhomogeneities caused by cloud features, storms, or activity.1

The transition region from late-L to early-T encompasses a particularly interesting change in physical properties, as the atmospheres transform from dusty to clear over a narrow effective temperature range, and the observed infrared colours reverse from red to blue. This is predicted to be an effect of the formation and eventual dissipation of dusty clouds in brown dwarf atmospheres (Chabrier & Baraffe 2000; Marley et al. 2002; Burrows et al. 2006). Broadly, as brown dwarfs cool through the spectral sequence, the lower temperatures allow more complex molecules to form, resulting in condensate clouds. When the temperature is cool enough, large condensate grains cannot remain suspended high in the atmosphere and sink below the observable photosphere, allowing methane and molecular hydrogen to become the dominant absorbers. Although there are several existing models for condensate cloud evolution, most cannot easily explain the rapid colour change from red to blue over the L-to-T transition. A systematic survey of variability in brown dwarfs including both L/T transition objects and comparison hotter/cooler objects is required to search for differences in the structure of condensate clouds in this important regime.

Existing photometric monitoring campaigns of brown dwarfs have been conducted at different wavelengths: optical bands (e.g. Tinney & Tolley 1999 and Koen 2013), near-IR bands (e.g. Artigau et al. 2003, Khandrika et al. 2013 and Buenzli et al. 2014), mid-IR (e.g. Morales-Calderón et al. 2006), and radio frequencies (e.g. Berger 2006). From small ( objects) initial samples of ultracool field dwarfs, frequencies of variables ranged from 0% to 100% (e.g. summary in Bailer-Jones 2005), and results from larger studies ( objects) have measured the frequency of variables to be in the range of 20% to 30% (e.g. Khandrika et al. 2013; Buenzli et al. 2014). Examples of objects that vary in multiple wavebands have been identified (e.g. 2MASS J22282889-4310262 Clarke et al. 2008; Buenzli et al. 2012, SIMP J013656.5+093347.3 Artigau et al. 2009, 2MASS J21392676+0220226 Radigan et al. 2012), as well as objects recorded as variable in one wavelength range, but not another (e.g. 2MASS J15344984-2952274, Koen et al. 2004). A small set of variable sources have been monitored contemporaneously at multiple wavelengths, with the combined results being used to infer the vertical extent of atmospheric features and to investigate atmospheric circulation patterns (e.g. Buenzli et al. 2012). Given the unique probe of the atmospheric structure that multi-wavelength observations provide, it is essential to identify a larger set of known variables across a broad range of effective temperatures.

Most monitoring programs have involved observation sequences spanning a few hours, but some studies have searched for longer timescale variations (e.g. Gelino et al. 2002; Enoch et al. 2003). A time scale of a few hours is well-matched to a search for rotation-modulated variability, since expected rotation periods are – 12 hours for L and T dwarfs, considering the range of measured values (10 – 60 km/s for L dwarfs and 15 – 40 km/s for T dwarfs – Zapatero Osorio et al. 2006) and the  0.08 – 0.10  radius of these objects from evolutionary models at the age of the field (Baraffe et al. 2003). Periodogram analysis of some variables has shown clear peaks associated with periods in the range of – 8 hours (e.g. Clarke et al. 2008; Radigan et al. 2012) which is consistent with an atmospheric feature rotating into and out of view. Other variables exhibit multi-component light curves (e.g. Artigau et al. 2009) that are suggestive of a rapid evolution of atmospheric features.

To investigate the variability of brown dwarfs across the full L-T spectral sequence, we have performed a large-scale -band photometric monitoring campaign of 69 field brown dwarfs with the SofI instrument on the 3.5 m New Technology Telescope (NTT). This survey is a part of the BAM (Brown dwarf Atmosphere Monitoring) project. In Section 2, the properties of the sample, including magnitudes, spectral types, and companions are summarised. Details of the observations are reported in Section 3, followed by the data reduction procedure, and methodology used to characterise each target as variable or constant in Section 4. Section 5 presents the results of the program and a comparison to previous variability studies. Finally, we discuss the sensitivity of the BAM survey and investigate possible correlations between variability and various observables such as spectral type, colour and binarity in Section 6. The results are summarized in Section 7.

2 The BAM sample

The 69 objects in the BAM sample were drawn from the brown dwarf archive (dwarfarchives.org) and were selected to span the full sequence of L- and T-spectral types from L0 to T8. An equal proportion of targets with spectral types above, across and below the L/T transition region were included. In this paper, we consider the L-T transition to range from L7 – T4, following Golimowski et al. (2004). Spectral types including a fractional subtype have been rounded down - for example, an L6.5 is considered L6 for the statistics. For the 48 targets with parallax measurements (e.g. Dupuy & Liu 2012; Faherty et al. 2012), a colour-magnitude diagram was constructed and is shown in Figure 1. The histogram of target spectral types and a plot of the colour as a function of spectral type are shown in Figure 2. The spectral types are based on IR spectroscopy for 54 targets and on optical spectroscopy for the remaining 15 targets that lacked an IR spectral classification. The spectral types, parallaxes, and apparent 2MASS magnitudes of the targets are listed in Table 1 for L dwarfs and Table 2 for T dwarfs.

Figure 1: Colour-magnitude diagram of the M-L-T spectrum (small grey circles). All brown dwarfs with known parallax in the BAM sample are overplotted, with red representing the L dwarfs, yellow the L/T transition dwarfs, and blue the T dwarfs (see Table 1 and 2). Half spectral types have been rounded down in the study. The photometry and parallaxes for the field M-L-T objects are from Dupuy & Liu (2012).
Figure 2: Diagram on the left shows a histogram of the sample across their respective spectral classes, whilst on the right is a colour-colour diagram showing the J-K colours of the same (coloured circles) overplotted on the full brown dwarf L-T spectral sequence (small grey circles). The L/T transition is indicated by the dashed lines defined in Golimowski et al. (2004).

Additional factors that influenced the target selection were the magnitudes and coordinates. To obtain high signal-to-noise individual measurements, the targets were limited to objects with magnitudes brighter than 16.5 mag. To avoid observations at high airmass, the target declinations were limited to South of +20 degrees. Pairs of targets were observed for sequences of 2 to 4 hours, which also impacted the range of target coordinates observed each observing run.

The majority of the sample, 47 targets, have been observed in programs designed to detect binary companions with radial velocity variations (Blake et al. 2010), or spectra showing features of different spectral types (Burgasser et al. 2010), or high angular resolution imaging (i.e. Bouy et al. 2003; McCaughrean et al. 2004; Burgasser et al. 2003a, 2005, 2006; Reid et al. 2006a, 2008; Looper et al. 2008). Based on the companion search programs reported in the literature, a total of 12 targets are members of spatially resolved binary pairs, and the results of all the binary searches are reported in Table 1 and 2. The proportion of binaries in this sample is comparable to the overall brown dwarf binary frequency (Burgasser et al. 2003a), indicating that the sample is not biased in the level of multiple systems included. All of the binaries in the sample have separations less than the seeing limit, so the photometric measurements in this study record the combined flux from both components. A variable brown dwarf that is part of an unresolved binary system can be more difficult to detect, as the variability is diluted by the non variable companion.

Previous observations designed to search for photometric variability have been reported for approximately half the sample – 34 targets – and cover optical (Gelino et al. 2002; Koen 2013), near-IR (Enoch et al. 2003; Koen et al. 2004, 2005; Clarke et al. 2008; Khandrika et al. 2013; Buenzli et al. 2014), and radio (Berger 2006) wavelengths. It is important to note that the different variability monitoring studies apply different criteria to categorise a target as variable or constant, and a range of observation wavelengths have been employed. Most of the previous monitoring has been conducted over timescales of hours similar to this program, though a few studies covered longer timescales with lower cadence measurements (e.g. Gelino et al. 2002, Enoch et al. 2003).

3 Observations

The observations took place from 4 - 11 October 2011 and 3 - 9 April 2012 with the SofI (Son of ISAAC) instrument (Moorwood et al. 1998) mounted on the NTT (New Technology Telescope) at the ESO La Silla observatory. Observations were performed in the large field imaging mode that has a pixel scale of 0 px and a field-of-view of . During the first observing run, some of the targets were observed in both the -band and -band, but only the -band was used during the second run. As a consequence, six of the targets from the first run have -band data with lower cadence. The filter (1.16-1.32 ) was used to avoid contamination by the water band centred at that would have otherwise affected the photometry. An increase in the telluric water column would have caused an anti-correlation between the brightness of the brown dwarfs and the reference stars in the -band, since an increase in the water column will decrease the flux from the reference stars to a greater extent compared to the brown dwarfs that have deep intrinsic water bands. The data should not suffer from this effect.

Three sets of two target fields were observed most nights, alternating between each target roughly every 15 min over a  hour window. This procedure allowed six targets to be observed every night. During clear conditions, the observations had a detector integration time (DIT) of 5s, with three DITs (NDIT) taken and averaged together with about 25 exposures in each observing block. During poorer conditions, such as the presence of cirrus clouds, and for fainter objects, the exposure times were increased. The flux was kept below 10,000 ADUs for the brightest targets in the field to prevent any non-linearity effects.

4 Data Reduction and Photometry

Target Name Spectral Parallax Binary/ Instrument References
Type (mas) (mag) Single
2MASS J00165953-4056541 L3.5* 15.316 0.061 S SpeX spectra K08, BC10
2MASS J00184613-6356122 L2* 15.224 0.044 R08
2MASS J01062285-5933185 L0* 14.33 0.035 R08
2MASS J01282664-5545343 L1 15.24 7.9 13.775 0.027 K07, D07
DENIS J0205.4-1159 L5.5 50.6 1.5 14.587 0.03 B (409 mas) HST imaging R06, K04, D02, B03
2MASS J02284355-6325052 L0 13.556 0.028 K07
2MASS J02572581-3105523 L8* 14.672 0.039 K08, R08
2MASS J03185403-3421292 L7* 72.9 7.7 15.569 0.055 S HST imaging K08, F12, R08
S SpeX spectra BC10
2MASS J03400942-6724051 L7* 14.742 0.032 C07, K08
2MASS J03582255-4116060 L5* 15.846 0.087 R08
2MASS J04070752+1546457 L3.5 15.478 0.058 R08, B06
2MASS J04390101-2353083 L6.5* 110.4 4.0 14.408 0.029 S HST imaging C03, F12, R06
2MASS J04455387-3048204 L2* 78.5 4.9 13.393 0.026 S HST imaging C03, F12, R06
2MASS J05233822-1403022 L5 13.084 0.024 S radial velocity C03, W03, BCW10
2MASS J06244595-4521548 L5* 83.9 4.5 14.48 0.029 S HST imaging R08, F12, R06
2MASS J08354256-0819237 L5* 117.3 11.2 13.169 0.024 S HST imaging C03, And11, R06
S radial velocity BCW10
S SpeX spectra BC10
2MASS J09153413+0422045 L7* 14.548 0.03 B (730 mas) HST imaging R08, R06
2MASS J09310955+0327331 L7.5 16.615 0.138 K04
2MASS J10043929-3335189 L4* 54.8 5.6 14.48 0.035 Giz02, And11
2MASS J10101480-0406499 L6* 59.8 8.1 15.508 0.059 C03, F12
2MASS J11263991-5003550 L6.5 13.997 0.032 F07, B06
2MASS J11555389+0559577 L7.5 57.9 10.2 15.66 0.077 S SpeX spectra K04, F12, BC10
2MASS J12281523-1547342 L6 44.8 1.8 14.378 0.03 B (264 mas) HST imaging D97, K04, D12, B03
2MASS J13004255+1912354 L3 12.717 0.022 S HST imaging Giz00, B06, R08
S radial velocity BCW10
2MASS J13262981-0038314 L5.5 50 6 16.103 0.071 S SpeX spectra F00, K04, V04, BC10
2MASS J15074769-1627386 L5.5 136.4 0.6 12.83 0.027 S HST imaging R00, K04, D02, R06
2MASS J16322911+1904407 L8 65.6 2.1 15.867 0.07 S HST imaging K99, B06, D02, B03
2MASS J19360187-5502322 L5* 66.3 5.4 14.486 0.039 S HST imaging R08, F12, R06
SDSS J204317.69-155103.4 L9 22.8 4.7 16.625 0.162 S SpeX spectra C06, S13, BC10
2MASS J22521073-1730134 L7.5 63.2 1.6 14.313 0.029 B (130 mas) HST imaging Ken04, D12, RL06
2MASS J22551861-5713056 L5.5 14.083 0.03 B (120 mas) HST imaging K07, R08
2MASS J23224684-3133231 L0* 58.6 5.6 13.577 0.027 R08, F12
Note: *Spectral classification using optical data

References: Andrei et al. (2011)[And11], Bouy et al. (2003) [B03], Blake et al. (2010) [BCW10], Berger (2006) [B06], Burgasser et al. (2010) [BC10], Cruz et al. (2003) [C03], Chiu et al. (2006) [C06], Cruz et al. (2007) [C07], Dahn et al. (2002) [D02], Deacon & Hambly (2007) [D07], Delfosse et al. (1997) [D97], Dupuy & Liu (2012)[D12], Folkes et al. (2007)[F07], Faherty et al. (2012) [F12], Fan et al. (2000) [F00], Gizis et al. (2000) [Giz00], Gizis (2002) [Giz02], Kendall et al. (2004) [Ken04], Kendall et al. (2007) [K07], Kirkpatrick et al. (1999)[K99], Kirkpatrick et al. (2008)[K08], Knapp et al. (2004) [K04], Reid et al. (2000) [R00], Reid et al. (2006a) [R06], Reid et al. (2006b) [RL06], Reid et al. (2008) [R08], Smart et al. (2013)[S13], Vrba et al. (2004) [V04].

Table 1: L dwarf Sample.

4.1 Processing the images

For each image, basic data reduction steps consisting of correcting for the dark current and division by a flat field and sky subtraction were applied. Developing flat field images for the NTT/SofI instrument involved generating two different flats, a special dome flat and an illumination correction flat as documented by the observatory. The dome flat requires observations of an evenly illuminated screen with the dome lamp turned on and off in a particular set sequence. To correct for low frequency sensitivity variations across the array that are not completely removed by the dome flat, an illumination correction was applied. By observing the flux from a standard star in a grid pattern across the array, a low order polynomial was fitted to the flux measurements, allowing large scale variations across the array to be characterised and removed. Flat field images were produced using the IRAF2 scripts provided by the observatory3. As the flat fields are documented to be extremely stable over several months, a single set of flat fields were used for all the targets in a given run.

For the SofI instrument, the dark frames are a poor estimate of the underlying bias pattern, which varies as a function of the incident flux. Consequently, the dark and bias are subtracted from the science frames through the computation of a sky frame, which also removes the sky background from the science data. Sky frames were generated by median combining the dithered science frames. The final calibration step involved measuring the offsets between the individual images and aligning all the science frames. The aligned frames within each  min interval were subsequently median combined. We compared the photometric uncertainties on the median combined images calculated using IRAF, to the standard deviation of the unbinned images within each bin. For most objects, the two methods for calculating uncertainties gave very similar results. The IRAF uncertainties on the median combined images were used for all the objects for consistency. Median combining the images before performing photometry rather than measuring the individual frames had the advantage of improving the centring, measurements of the full width at half maximum (FWHM), and the photometry of the fainter comparison stars in the field.

Target Name Spectral Parallax Binary/ Instrument References
Type (mas) (mag) Single
2MASS J00345157+0523050 T6.5 105.4 7.5 15.535 0.045 B04, B06, F12
2MASS J00501994-3322402 T7 94.6 2.4 15.928 0.07 T05, B06, D12
SIMP J013656.5+093347.3 T2.5 13.455 0.03 A06
2MASS J03480772-6022270 T7 15.318 0.05 S HST imaging B03, BK06
2MASS J04151954-0935066 T8 175.2 1.7 15.695 0.058 S HST imaging B02, B06, V04, BK06
SDSS J042348.56-041403.5 T0 72.1 1.1 14.465 0.027 B (160 mas) HST imaging G02, B06, V04, B05
2MASS J05103520-4208140 T5 16.222 0.087 L07
2MASS J05160945-0445499 T5.5 44.5 6.5 15.984 0.079 S HST imaging B03, F12, B06, BK06
2MASS J05591914-1404488 T4.5 96.6 1 13.802 0.024 S HST imaging B00, B06, D02, BK03
2MASS J07290002-3954043 T8 126.3 8.3 15.92 0.077 L07, F12
DENIS J081730.0-615520 T6 203 13 13.613 0.024 A10
2MASS J09393548-2448279 T8 187.3 4.6 15.98 0.106 T05, B06, B08
2MASS J09490860-1545485 T2 55.3 6.6 16.149 0.117 ?B (weak candidate) SpeX spectra T05, F12, B06, BC10
2MASS J10073369-4555147 T5 71.0 5.2 15.653 0.068 L07, F12
2MASS J10210969-0304197 T3 29.9 1.3 16.253 0.091 B (172 mas) HST imaging L00, B06, T03, BK06
2MASS J11145133-2618235 T7.5 179.2 1.4 15.858 0.083 T05, B06, D12
2MASS J12074717+0244249 T0 44.5 12.2 15.58 0.071 ?B (weak candidate) SpeX spectra H02, F12, B06, BC10
2MASS J12171110-0311131 T7.5 90.8 2.2 15.86 0.061 S HST imaging B99, B06, T03, BK06
2MASS J12255432-2739466 T6 75.1 2.5 15.26 0.047 B (282 mas) HST imaging B99, B06, T03, BK03
2MASS J12314753+0847331 T5.5 15.57 0.072 B04, B06
2MASS J12545393-0122474 T2 84.9 1.9 14.891 0.035 S HST imaging L00, B06, D02, BK06
2MASS J14044941-3159329 T2.5 42.1 1.1 15.577 0.062 B (130 mas) AO imaging L07, D12, L08
2MASS J1511145+060742 T2 36.7 6.4 16.016 0.079 ?B (strong candidate) SpeX spectra A11, F12, BC10
2MASS J15210327+0131426 T2 41.3 7.2 16.399 0.102 S SpeX spectra K04, F12, B06, BC10
2MASS J15344984-2952274 T5.5 62.4 1.3 14.9 0.054 B (65 mas) HST imaging B02, B06, T03, BK03
2MASS J15462718-3325111 T5.5 88 1.9 15.631 0.051 S HST imaging B02, B06, T03, BK03
2MASS J15530228+1532369 T7 75.1 0.9 15.825 0.071 B (349 mas) HST imaging B02, B06, D12, BK06
2MASS J16241436+0029158 T6 90.9 1.2 15.494 0.054 S HST imaging S99, B06, T03, BK06
2MASS J18283572-4849046 T5.5 83.7 7.7 15.175 0.056 B04, F12, B06
SDSS J204749.61-071818.3 T0 49.9 7.9 16.85 0.04* S SpeX spectra K04, F12, B06, BC10
2MASS J20523515-1609308 T1 33.9 0.8 16.334 0.118 ?B (weak candidate) SpeX spectra C06, D12, BC10
B (100.9 mas) AO imaging S11
2MASS J21392676+0220226 T1.5 101.5 2.0 15.264 0.049 ?B (strong candidate) SpeX spectra R08, B06, S13, BC10
2MASS J21513839-4853542 T4 50.4 6.7 15.73 0.074 E05, F12, B06
2MASS J22282889-4310262 T6.5 94.0 7.0 15.662 0.073 S HST imaging B03, F12, B06, BK06
ULAS J232123.79+135454.9 T7.5 17.04 0.04* S10, B10
2MASS J23312378-4718274 T5 15.659 0.068 B04, B06
2MASS J23565477-1553111 T5.5 57.9 3.5 15.824 0.057 S HST imaging B02, B06, S13, BK03

Note: *MKO to 2MASS conversion using transformations from Stephens & Leggett (2004).
References: Albert et al. (2011) [A11], Artigau et al. (2006) [A06], Artigau et al. (2010) [A10], Berger (2006) [B06], Bouy et al. (2003) [B03], Burgasser et al. (1999) [B99], Burgasser et al. (2000) [B00], Burgasser et al. (2003b) [B02], Burgasser et al. (2003a) [BK03], Burgasser et al. (2004) [B04], Burgasser et al. (2005) [B05], Burgasser et al. (2006) [BK06], Burgasser et al. (2008) [B08], Burgasser et al. (2010) [BC10], Burningham et al. (2010) [B10], Chiu et al. (2006) [C06], Dahn et al. (2002) [D02], Dupuy & Liu (2012)[D12], Ellis et al. (2005) [E05], Faherty et al. (2012) [F12], Gelino et al. (2002) [G02], Hawley et al. (2002) [H02], Knapp et al. (2004) [K04], Leggett et al. (2000) [L00], Looper et al. (2007) [L07], Looper et al. (2008) [L08], Reid et al. (2008) [R08], Scholz et al. (2003) [S03], Scholz et al. (2003) [S10], Stumpf et al. (2011) [S11], Smart et al. (2013) [S13], Strauss et al. (1999) [S99], Tinney et al. (2003) [T03], Tinney et al. (2005) [T05], Vrba et al. (2004) [V04].

Table 2: T dwarf Sample.

4.2 Generating the light curves

Aperture photometry was carried out using the APPHOT package in IRAF. A median value of the FWHM was measured per image using all the stars in the field-of-view. A range of aperture radii were explored and the size of FWHM was selected, as it minimised the root-mean-square (RMS) scatter of the reference star light curves that were created by dividing each reference star by the weighted mean of the remaining reference star light curves. The aperture was kept constant for all the stars in a single image, but was allowed to vary between individual images to account for variations in seeing. The variable aperture also yielded higher signal-to-noise measurements compared to a constant aperture, which would otherwise cause a loss in the flux measured within the aperture during poorer seeing conditions. We checked each target field to ensure that the photometry was not impacted by nearby astrophysical sources.

The steps taken to generate the target light curves in the survey are given in the following list:

  • For each target, a list of reference star candidates was generated by considering all stars visible in the field of view, discarding stars with peak counts less than  ADUs or greater than  ADUs. These limits were imposed to ensure enough signal was present to accurately centre the aperture around the object and to ensure that none of the reference stars were in the non-linear regime of the detector.

  • Reference candidates were trimmed by selecting up to 15 of the reference stars with the most similar brightness to the target.

  • Candidate reference star light curves were calculated by dividing each reference star by a weighted mean of the remaining reference stars.

  • Candidate reference stars with light curves exhibiting a standard deviation greater or equal to the median standard deviation for all reference star candidates were removed.

  • A master reference light curve was subsequently created by median combining the normalised light curves of all the qualifying reference stars.

  • The final target light curve was produced by dividing the target brown dwarf flux by the weighted mean of all the qualifying reference stars. The light curve was normalised by dividing the light curve by the median flux value of the light curve.

  • The target and reference star light curves were all airmass de-trended by dividing the light curves by a second order polynomial fit to the relative flux of the master reference as a function of airmass.

The number of reference stars used for each target is given in Table 3 and Table 4, with six to eight references being typical. The automatic selection process was applied uniformly throughout the entire sample of objects. The uncertainties were calculated using IRAF. The target photometric uncertainty () is defined as the median value of the target light curve uncertainties. A histogram of the values for each object is shown in Figure 3, and the value for all targets are listed in Table 3 and Table 4. The median value for the entire survey is %.

Figure 3: Target photometric uncertainty of the survey defined as the median value of the final target light curve uncertainties. The median target photometric uncertainty is .
Figure 4: -value histogram of the full brown dwarf sample. The objects in the first bin includes 16 targets with -value , and three targets with -value between 5 – 10%. Of the 16 targets with -value  listed in Table 3, two targets are not listed since they failed the robust criterion (). The large number of objects in the last two bins (80 to 100) is suggestive of conservative errorbars.
Object Spectral Type Obs. Dur. (hours) Refs. DOF (%) -value (%) Amplitude (%)
Variables with -value  and
2MASS J01062285-5933185 L0 3.14 7 5 4.4 1.3 1.07 0.12
2MASS J13004255+1912354 L3 3.06 5 9 3.6 2.6 1.21 0.0
2MASS J03582255-4116060 L5 1.97 6 4 4.2 1.9 0.88 0.2
2MASS J08354256-0819237 L5 3.32 6 10 5.8 2.0 0.33 0.0
2MASS J22551861-5713056 L5.5 3.16 3 6 4.0 2.5 1.55 0.0
2MASS J10101480-0406499 L6 3.08 4 8 4.3 2.0 1.18 0.0
2MASS J04390101-2353083 L6.5 2.53 8 5 2.7 1.7 0.50 1.8
2MASS J11263991-5003550 L6.5 3.23 8 12 3.3 1.4 0.52 0.0
2MASS J12074717+0244249 T0 2.76 7 7 2.1 1.4 0.91 4.2
2MASS J21392676+0220226 T1.5 2.62 7 7 18.1 3.9 0.42 0.0
SIMP J013656.5+093347.3 T2.5 2.94 5 7 2.3 2.2 0.72 2.3
2MASS J22282889-4310262 T6.5 3.08 8 7 2.6 1.3 0.51 1.8
2MASS J00501994-3322402 T7.0 2.63 6 6 5.6 3.3 1.24 0.0
2MASS J03480772-6022270 T7.0 2.85 7 6 2.5 1.6 0.42 1.9
Variables with -value  and
DENIS J0205.4-1159 L5.5 3.22 5 5 2.0 1.5 0.50 7.9
2MASS J09310955+0327331 L7.5 3.21 3 10 1.8 1.0 1.55 6.1
2MASS J12171110-0311131 T7.5 2.78 6 5 1.9 1.2 0.93 9.3

Notes: These peak-to-trough amplitudes are calculated as the difference between the minimum and maximum points in the light curve. In some cases, these might represent the lower limit of the true amplitude, especially for brown dwarfs which exhibit variability on longer time scales.

Table 3: Variables identified in this study.

4.3 Identifying variables

The significance of the variations were assessed in comparison to two criteria. For the first assessment, the final target light curve was compared against a flat line using the reduced robust median statistic () (Enoch et al. 2003). The definition of is expressed as

(1)

where defines the number of free parameters and , the uncertainty on each photometric measurement in the final target light curve.

For the second assessment, the reduced chi squared () value for each target light curve was calculated relative to the master reference light curve. The definition of is expressed as

(2)

where is the degrees of freedom, is the final target light curve, is the master reference light curve and is the uncertainty on the final target light curve and master reference light curve added in quadrature.

Astrophysical variability was better determined calculating relative to the master reference light curve instead of a straight line, which was more prone to classifying variable conditions over intrinsic variability. We make use of the to estimate the cumulative distribution function and thus the -value for each final target light curve. The -value is the probability that the final target light curve is the same as (-value  10%) or different from (-value  10%) the master reference light curve. In Figure 4, we plot the histogram of the calculated -values for the full sample, and the large number of objects in the first bin gives an indication of the variables in the survey. The first bin contains 16 objects with -value , and the level of false positives expected with an equivalent -value is 3 to 4 objects (5%) for a sample of 69 targets. For the identification of variables, both -value and an thresholds were applied. The number of targets with -value but was two, which is similar to the level of expected false positives. The excess of targets in the last two bins of Figure 4 suggests that the uncertainties for the sample are conservatively estimated.

The -value is the probability, under the assumption that we detect no variability (our null hypothesis), of observing variability greater or equal to what was observed in the master reference light curve. The survey has 39 targets satisfying the criterion of and 16 targets with -value . Objects classified as variable in this study satisfied two criteria, defined by -value  and , and they are listed in Table 3. Candidate variables with a less restrictive -value  and are also listed in Table 3.

The min-to-max amplitudes of the variable objects were calculated as the difference between the highest and the lowest point in the light curve, using the uncertainties on these two points to calculate the uncertainty on the amplitude. Using this method to calculate the amplitude is dependent on how the data is binned, with the unbinned data showing larger amplitude variations. The amplitudes listed in Table 3 use the more conservative estimate from binned data. For objects with periods larger than the duration of observations, the amplitude is likely an underestimate, as the entire period is not observed. An example of a target with a known variable period exceeding the observation timescale is 2M2139, and the reported amplitude in this study is lower than longer timescale results (Radigan et al. 2012). Due to the limited duration and cadence of the observations, it is not possible to measure the periods of the variables in the BAM study.

5 Results of the BAM survey

Figure 5: Final target light curves of the 14 variable objects (blue points) with a -value  and together with the master reference light curves (yellow points). The uncertainties on the variable light curve incorporates the uncertainties in the master reference light curve.
Figure 6: Final target light curves of the candidate variables (larger blue points) with -value and together with the master reference light curves (yellow smaller points).
Figure 7: Final target light curves of a subset of constant objects in this survey (larger blue points) with the master reference light curves (yellow smaller points). The target photometric uncertainty decreases from top to bottom and includes the light curve with the best photometry (top left) and light curve with the worst photometry (bottom right).

The primary result from the BAM survey is the identification of a set of 14 variable brown dwarfs with -value  and a further three candidate variables with -value (see §5.1.1). For the remaining analysis, we only consider the -value  variables. The BAM variables appear to show two morphologies. The first type of light curve shows pure sinusoidal trends, akin to 2M2139 (Radigan et al. 2012). Variables like 2M0050, 2M0348, 2M1010, and possibly 2M2255 appear to have sinusoidal light curves. The second group consists of targets that appear to be display multi-component variations in their light curves akin to SIMP0136 (Artigau et al. 2009; Metchev et al. 2013). SIMP0136 shows remarkable evolution in its features over multiple epochs, possibly caused by rapidly varying cloud features (Metchev et al. 2013). Objects with light curves similar to SIMP0136 object, such as 2M0106, 2M0439, 2M0835, 2M1126, 2M1207, 2M1300 are interesting for future follow up, to confirm whether or not they also show rapidly evolving light curves. Finally, the light curve of 2M0358 may be a fast rotating variable, since 2M0358 appears to oscillate through more than one cycle within the limited timespan of the BAM monitoring. The light curve of 2M2228 shows similar short time scale variations as 2M0358 and was previously found to be variable with a period of P hours by Clarke et al. (2008). Final target light curves for the 14 BAM variables and the associated comparison master reference light curves are shown in Figure 5. Similar plots for the candidate variables are given in Figure 6. The amplitudes and -values are reported in Table 3.

Representative light curves of nine constant targets with a range of photometric qualities are shown in Figure 7. These light curves show the full range of the data quality for brown dwarfs of similar brightness to the variables identified in the study. The constant light curves are not all flat, however their variations are not statistically distinct from their associated master reference. The constant targets do not satisfy the two separate criteria used to identify the variables (specified in section 4.3) which require the final target light curve to be distinct from the master reference light curve (-value) and a flat line (). The -values for constant sources are given in Table 4.

Since the -value  cutoff is a statistical measure, there remains a likelihood of a contamination level of 3 – 4 false variables that are statistical fluctuations, % of the entire sample. Continued monitoring of the variables should help identify false positives.

5.1 Comparison of variables with previous studies

This -band SofI program is the largest uniform monitoring survey conducted in the near-IR. Several previous surveys have targeted smaller sample sets (e.g. Enoch et al. 2003; Koen et al. 2004, 2005; Clarke et al. 2008; Khandrika et al. 2013; Girardin et al. 2013; Buenzli et al. 2014) or searched in different wavelengths such as -band (e.g. Gelino et al. 2002; Koen 2004, 2013). Apart from results of the study by Koen (2013), previous surveys have typically targeted fewer than objects and detected variability frequencies of % in their sample sets, with a significant amount of overlap in the target samples used in different studies (Khandrika et al. 2013). The BAM sample was designed to uniformly cover the L-T spectral range (see Figure 2) and includes 35 brown dwarfs that have not been previously monitored in different surveys. There are nine new BAM variables, six of which have not been previously monitored for variability – 2M0050, 2M0106, 2M0358, 2M1010, 2M1207 and 2M2255. The survey has three variables that were previously found to be constant, and found nine brown dwarfs previously classified as variable to be constant. Finally, there are five variables that were found to vary in the literature and in this BAM study. A synopsis of the variables in the BAM and previous surveys is presented in Table 5. These objects are used to investigate the persistence of variability in section 6.5. Table 6 presents the constant brown dwarf sample in the BAM study. These are targets that were monitored in previous surveys and were found to be constant in the literature and in this study. In the following two subsections, we compare our results with literature measurements for the variables identified in this sample and in previous work.

BAM Variables

In Table 5, we present information for all the targets that were considered variable, either in this BAM study or in the literature. Three of the BAM variables – 2M0348, 2M0439 and 2M1126 – were identified as constant brown dwarfs in prior surveys but appear to be variable in this survey. A further five brown dwarfs – SIMP0136, 2M0835, 2M1300, 2M2139 and 2M2228 – were confirmed to be variable both in this study and in the literature. Of these five, SIMP0136, 2M2139 and 2M2228 were previously found to vary in the near-IR, similar to this study. The other two variables 2M0835 and 2M1300 were originally measured to vary in the band, and also display multi-component variations at near-IR wavelengths. Amongst the known variables with measured periods (from previous studies), only 2M2139 and 2M1300 have periods longer than the duration of the BAM monitoring data ( hours, and 238 hours, respectively). The latter period is much longer than the expected rotation for a brown dwarf (Zapatero Osorio et al. 2006), which indicates that the periodic feature might not be related to the rotation of the brown dwarf (Gelino et al. 2002). The three remaining targets with previously measured periods - SIMP0136, 2M0835 and 2M2228 - were monitored in this study with a time span greater than one of their rotational periods. All three objects that we monitored over an entire period had amplitudes consistent with what has been previously published.

Variables in previous studies not confirmed with BAM

There are nine targets from the BAM sample that have been previously reported as variable, but were found to be constant in this survey. These sources are listed in Table 5, with a summary of the previous results pertaining to variability, including the observation wavelength and any notes on the amplitudes and timescales of the variations in brightness. One of these nine variables from literature – 2M0228 – has only been monitored in the optical. The remaining eight variables exhibited modulations in the near-IR. 2M0559, 2M0624, DENIS0817 and 2M1624 were found to have small amplitude variations in the Buenzli et al. (2014) survey carried out using the grism data. In the survey, 2M1624 showed variability in the water band (1.35-1.44) but was found to be constant at -band wavelengths. Similar to other ground based surveys that found some of these targets constant, this BAM survey likely does not have the photometric sensitivity necessary to confirm the variables, nor is it possible to monitor the water bands from ground. Another four targets – SDSS0423, 2M0939, 2M1534 and 2M2331 – also appear constant in the data. The photometric uncertainties on SDSS0423 and 2M2331 are too large to confirm their lower amplitude variability of % and %, respectively. Despite 2M0939 having been observed as a variable in the ’ band with an amplitude of 3.1% (Khandrika et al. 2013), we are unable to confirm any variability in with the BAM observations. 2M1534 was detected to vary in the bands initially in (Koen et al. 2004), but was constant in a later epoch (Koen et al. 2005). Koen (2013) further discounts the likelihood of detecting short period variability in 2M1534, but maintains that the target likely varies on the timescale of a few days. The reported amplitudes in the -band and -band are below the detection threshold in the data for this target.

6 Discussion

6.1 The sensitivity of the BAM survey

To obtain an estimate of the variability frequency for brown dwarfs across spectral types, it is essential to quantify the sensitivity of the data to detecting different amplitudes of variability. We estimate the sensitivity to variables of a certain amplitude as three times the target photometric uncertainty of each final target light curve. This places a limit on the minimum amplitude required for a detection above a certain statistical significance threshold. The proportion of the sample that is sensitive to a given variability amplitude is shown as a function of amplitude in Figure 8. As shown in Figure 8, the BAM survey is capable of detecting any object in the sample showing a peak-to-trough amplitude during the duration of the observations. The detection probability continues to decrease with decreasing amplitude with a sensitivity of 50% occurring for variables with a % amplitude. Given that the full BAM sample is sensitive to variables with amplitudes , Table 7 quantifies the frequency of variability for different subsets of spectral types using an amplitude cutoff of 2.3% and -value ; this level includes all but one BAM variable. Figure 9 shows how the variability frequency (considering all spectral types) varies as a function of amplitude to account for the declining proportion of the sample that is sensitive to lower amplitude variables.

To calculate the uncertainty on the variability frequency we use the binomial distribution

Object Spectral Type Obs. Dur. [hours] Refs. DOF (%) -value (%)
2MASS J00165953-4056541 L3.5 3.43 6 8 0.9 0.8 0.54 51.1
2MASS J00184613-6356122 L2 3.43 7 8 1.1 1.0 0.42 35.4
2MASS J00345157+0523050 T6.5 2.98 7 7 0.9 1.1 0.53 49.1
2MASS J01282664-5545343 L1 2.66 5 5 0.5 2.1 0.61 77.7
2MASS J02284355-6325052 L0 2.84 3 10 0.8 1.0 0.42 62.7
2MASS J02572581-3105523 L8 3.33 7 5 0.3 1.2 0.48 90.2
2MASS J03185403-3421292 L7 1.97 5 4 1.9 1.8 0.99 10.1
2MASS J03400942-6724051 L7 2.61 6 5 0.2 1.1 0.75 96.4
2MASS J04070752+1546457 L3.5 3.19 7 7 0.7 0.7 0.43 68.4
2MASS J04151954-0935066 T8 3.29 4 7 0.3 0.6 0.83 95.8
SDSS J042348.56-041403.5 T0 2.62 8 5 0.4 0.7 0.51 86.2
2MASS J04455387-3048204 L2 4.55 7 9 0.7 0.7 0.36 68.7
2MASS J05103520-4208140 T5 2.74 6 6 0.5 0.6 0.66 84.2
2MASS J05160945-0445499 T5.5 3.11 4 7 1.1 1.1 0.88 38.5
2MASS J05233822-1403022 L5 4.56 6 9 0.7 1.0 0.99 66.8
2MASS J05591914-1404488 T4.5 3.11 6 7 0.3 0.5 0.37 96.3
2MASS J06244595-4521548 L5 3.26 5 6 1.2 1.0 0.49 28.5
2MASS J07290002-3954043 T8 3.37 8 10 0.6 0.6 0.9 84.3
DENIS J081730.0-615520 T6 3.48 8 13 0.8 0.7 0.68 64.5
2MASS J09153413+0422045 L7 3.33 6 7 0.9 0.8 0.55 50.1
2MASS J09393548-2448279 T8 3.06 8 9 1.0 0.8 0.98 46.5
2MASS J09490860-1545485 T2 3.16 8 6 1.7 1.3 0.67 11.0
2MASS J10043929-3335189 L4 3.14 8 11 1.4 1.0 0.99 17.6
2MASS J10073369-4555147 T5 3.41 8 13 0.3 0.5 1.62 99.5
2MASS J10210969-0304197 T3 3.17 7 6 0.7 0.6 0.88 64.1
2MASS J11145133-2618235 T7.5 2.90 5 5 0.4 1.0 1.0 86.3
2MASS J11555389+0559577 L7.5 2.87 5 7 0.6 1.2 0.74 79.3
2MASS J12255432-2739466 T6 2.85 7 5 0.4 0.3 0.67 86.9
2MASS J12281523-1547342 L6 3.39 7 10 1.0 1.1 0.5 42.5
2MASS J12314753+0847331 T5.5 2.56 5 5 0.3 1.6 1.63 89.6
2MASS J12545393-0122474 T2 3.17 7 9 1.0 1.1 0.51 45.2
2MASS J13262981-0038314 L5.5 2.80 4 7 0.9 0.9 1.17 50.8
2MASS J14044941-3159329 T2.5 3.01 8 8.5 0.4 0.6 0.82 89.4
2MASS J15074769-1627386 L5.5 4.16 7 15 0.4 0.6 1.21 98.5
SDSS J151114.66+060742.9 T.0 3.85 7 11 0.8 0.6 0.8 64.1
2MASS J15210327+0131426 T2 6.37 7 12 0.5 0.6 0.9 93.6
2MASS J15344984-2952274 T5.5 3.88 8 8 0.5 0.6 0.62 85.3
2MASS J15462718-3325111 T5.5 3.50 4 7 0.4 0.5 1.45 93.3
2MASS J15530228+1532369 T7 3.82 7 8 2.7 1.0 0.72 0.7
2MASS J16241436+0029158 T6 3.21 8 8 0.3 0.4 0.66 95.6
2MASS J16322911+1904407 L8 3.89 4 14 1.1 1.0 1.76 36.4
2MASS J18283572-4849046 T5.5 3.06 8 7 0.4 0.5 0.5 88.7
2MASS J19360187-5502322 L5 3.21 7 6 0.4 0.5 0.4 86.9
SDSS J204317.69-155103.4 L9.0 3.03 8 6 1.4 1.0 1.14 22.5
SDSS J204749.61-071818.3 T0.0 2.68 8 5 1.6 1.2 1.16 15.8
2MASS J20523515-1609308 T1 3.08 8 7 0.8 0.8 0.7 62.9
2MASS J21513839-4853542 T4 3.08 8 7 0.8 0.7 0.51 63.0
2MASS J22521073-1730134 L7.5 2.34 5 5 0.8 1.3 0.65 58.9
ULAS J232123.79+135454.9 T7.5 2.94 8 7 0.3 0.6 0.9 94.9
2MASS J23224684-3133231 L0 2.69 6 4 1.1 0.9 0.49 37.8
2MASS J23312378-4718274 T5 2.63 5 6 1.7 1.1 1.13 12.0
2MASS J23565477-1553111 T6 2.98 5 7 3.5 0.6 0.64 0.1
Table 4: Limits on constant targets in this survey.
Target Name Band Variable/Constant References Notes
New variables from this study with no prior observations
2MASS J00501994-3322402 V
2MASS J01062285-5933185 V
2MASS J03582255-4116060 V
2MASS J09310955+0327331 V Candidate Variable (-val%)
2MASS J10101480-0406499 V
2MASS J12074717+0244249 V
2MASS J22551861-5713056 V
New variables previously categorised as constant
DENIS J0205.4-1159 C K13
Candidate Variable (-val%) C E03 %
8.46 GHz C B06
2MASS J03480772-6022270 C C08  mmag, periodic
2MASS J04390101-2353083 C K13
C K05
8.46 GHz C B06 42Jy
2MASS J11263991-5003550 C K13 possibly periodic
Literature variables confirmed as variable in this study
SIMP J013656.5+093347.3 V A09, Ap13 , P = 2.39 0.05 hr
2MASS J08354256-0819237 V K04, K13 =10-16 mmag, P=3.1 hr
8.46 GHz C B06
2MASS J12171110-0311131 V A03  mag
Candidate Variable (p-val%) 8.46 GHz C B06
Z06
2MASS J13004255+1912354 C K13
V G02 P=2389hr
8.46 GHz C B06
C Kh13 1.1%, 1.7%
C K05
C KMM04
2MASS J21392676+0220226 V R12, Ap13 (,,)=(0.3, 0.18, 0.17) mag, P = 7.7210.005 hr
V Kh13 , C at %
2MASS J22282889-4310262 V C08, Bu12  mmag, P=1.430.16hr
8.46 GHz C B06
Objects with reported IR variability measured as constants in this study
SDSS J042348.56-041403.5 C K13
likely V E03  mag, P –  hr
V C08  mmag, Phr
C KTTK05  mmag,  mmag,  mmag
8.46 GHz C B06
2MASS J05591914-1404488 HST G141 grism V Bu13
C K13
C E03 %
C08 C  mmag
C K04
8.46 GHz B06
2MASS J06244595-4521548 HST G141 grism V Bu13
DENIS J081730.0-615520 HST G141 grism V Bu13
2MASS J09393548-2448279 V Kh13 0.31 mag
C  mag
2MASS J15344984-2952274 C K13
C K05
C KTTK05  mmag,  mmag, 18 mmag
V KMM04  mmag, 7 mmag, P hr
8.46 GHz C B06
2MASS J16241436+0029158 HST G141 grism V Bu13 Variability detected in water band (1.35-1.44 )
C KMM04
8.46 GHz C B06 36Jy
2MASS J23312378-4718274 V C08  mmag, P=2.90.9 hr
Objects with reported Optical variability measured as constants in this study
2MASS J02284355-6325052 V K13

References: Artigau et al. (2003) [A03], Artigau et al. (2009) [A09], Apai et al. (2013) [Ap13], Berger (2006) [B06], Buenzli et al. (2012) [Bu12], Buenzli et al. (2014) [Bu13], Clarke et al. (2008) [C08], Enoch et al. (2003) [E03], Gelino et al. (2002) [G02], Khandrika et al. (2013) [Kh13], Koen (2004) [K04], Koen et al. (2004) [KMM04], Koen et al. (2005) [KTTK05], Koen (2005) [K05], Koen (2013) [K13], Radigan et al. (2012) [R12], Zapatero Osorio et al. (2006) [Z06]

Table 5: Summary of variable sources.
Target Name Band References Notes
2MASS J02572581-3105523 K13
2MASS J04070752+1546457 Kh13 no results
2MASS J04151954-0935066 8.46 GHz B06
2MASS J04455387-3048204 K13
K04
8.46 GHz B06
2MASS J05233822-1403022 K13
K05
8.46 GHz B06
2MASS J12255432-2739466 KTTK05  mmag
 mmag
 mmag
KMM04
2MASS J12281523-1547342 K13
8.46 GHz B06
2MASS J12545393-0122474 KMM04
Gi13 mmag
2MASS J15074769-1627386 K13
K03
8.46 GHz B06
2MASS J1511145+060742 Kh13 %
%
2MASS J15462718-3325111 KMM04
2MASS J15530228+1532369 KMM04
2MASS J16322911+1904407 8.46 GHz B06 Jy
HST G141 Grism Bu13
2MASS J19360187-5502322 K13
2MASS J23224684-3133231 K13

References: Berger (2006) [B06], Buenzli et al. (2014) [Bu13], Girardin et al. (2013) [Gi13], Khandrika et al. (2013) [Kh13], Koen (2004) [K04], Koen (2003) [K03], Koen et al. (2004) [KMM04], Koen et al. (2005) [KTTK05], Koen (2005) [K05], Koen (2013) [K13].

Table 6: Summary of constant sources.
Figure 8: Proportion of the survey sensitive to variability as a function of peak-to-trough amplitudes for different detection thresholds. The dashed line represents the fraction of objects with a photometric accuracy good enough to have allowed for the detection of variability. The shaded area represents the region of sensitivity with the upper binomial errors and amplitude uncertainties added to the variability fraction.
Figure 9: Variability frequency as a function of amplitude (dashed line) with the binomial errors and amplitude uncertainties added to the variability fraction (shaded area).
Figure 10: Percentage of simulated sinusoidal light curves detected as variable, as a function of period from 1 hour to 12 hours, for three different amplitudes. We used the measured survey median noise of 0.7%, and each sine curve was sampled at intervals of 15 minutes to imitate the binned data of the survey. Additionally, we stepped through each sine curve at 5 degree phase intervals, to ensure that we sampled the full phase of the variable light curve.
(3)

where is the number of variables, the sample size and the variability frequency. This approach is based on Bayes’ theorem under the assumption of a uniform prior based on no a priori knowledge and is ideal for small samples such as is the case for the BAM survey.

The rotation period is another factor that can influence the detectability of a variable signal. In Figure 10, we present the results of simulating light curves to test the detection probability of the survey to brown dwarf variables with different periods. We simulated sinusoidal light curves with three different amplitudes, of 1.5%, 2.5%, and 5.0%, and with periods ranging from a minimum of 1 hour to a maximum of 12 hours (Zapatero Osorio et al. 2006). Gaussian noise equal to the median photometric uncertainty of the survey of 0.7% was added to each light curve. To mimic the binned SofI data, the light curves were sampled at intervals of 15 minutes, and each simulated dataset was divided into groups of 3 hours, similar to the typical duration of the BAM data. For light curves with period longer than 3 hours, we generated multiple datasets, by stepping through the sine curve in steps of 5 degrees of phase and calculating the -value at each phase, ensuring full sampling of the phase. Figure 10 shows the percentage of simulated light curves that are detected as variable with a -value . For amplitudes of 5.0%, periodicities from 3 to 12 hours are easily recovered with a probability of 80 to 100%, while the required periods decrease to 6 hours for 2.5% variables and 5 hours for 1.5% variables for detection probabilities in the 80 to 100% range.

6.2 Frequency and amplitude of variability across spectral types

The frequency of variables as a function of spectral type is an important topic, since models of brown dwarf atmospheres have suggested that breakup of clouds across the L/T transition may result in both a higher rate of occurrence and a higher amplitude of variability compared to earlier L and later T objects. Amongst the previously known variables, the two largest amplitude variable objects discovered to-date are L/T transition objects - SIMP0136 (% in -band but with a significant night to night evolution, Artigau et al. 2009) and 2M2139 (as high as 26% in the -band, Radigan et al. 2012).

Sample Sp. Type No. Targets No. Variables Freq. (%)
Early-L L0-L6 23 7
Late-T T5-T8 23 3
L/T Transition L7-T4 23 3
Outside L/T transition L0-L6 & T5-T8 46 10

Notes: These are the variables with a -value , and amplitude .

Table 7: Variability frequency.
Figure 11: Diagram on the left shows the amplitude of the variables (-value  – closed circles and -value  – closed circles with cross) as well as the target photometric uncertainty of the non-varying objects (coloured triangles) across the entire spectral range of the sample. The diagram on the right shows the colour-colour diagram of the entire L through T spectral range with the full sample plotted with open circles, showing the colour spread of the targets. The variables from the BAM sample are overplotted (-value  – closed circles and -value  – closed circles with cross). The L/T transition is indicated by the dashed lines

As indicated by the variability frequencies reported in Table 7, the BAM results show no evidence that the frequency of variables in the L7 to T4 transition region is distinct from the earlier spectral types, the later spectral types, or the combination of all non-transition region brown dwarfs. The variability frequencies in Table 7 are calculated using the entire sample of targets and an amplitude threshold of and . Although no statistically significant difference in the variability frequencies for transition brown dwarfs is measured with the BAM survey, the 2.3% amplitude limit of the analysis would not have detected differences at lower amplitudes, and removing the peak-to-trough amplitude threshold does not change this result. Adjusting the boundaries of the transition region by up to two spectral types does not change the result. Likewise, the amplitudes of the detected variables show no clear trends with spectral type within the capacity of the survey, as shown in Figure 11 (left).

The BAM variability frequency is very comparable to estimates for M stars. A variability frequency between 21–29% for 19 M-stars was measured in a multi-wavelgenth optical study with the Calar Alto Observatory in Spain (Rockenfeller et al. 2006). The wavelength of observations for the M-star study was shorter than the BAM survey -band data, and the amplitude of variations is expected to decline for longer wavelengths (e.g. Reiners et al. 2010).

In a recent compilation of variability surveys, Khandrika et al. (2013) reported a variability frequency of % based on a collection of different surveys with observations obtained in the optical and near-IR passbands, covering 78 objects in total. Comparison between surveys is difficult as the variability frequency may depend on a variety of different factors, including the target selection criterion and the criteria used to define variability in the targets which usually differs from one survey to the next. Additionally, the observed wavelength may also alter the variability frequency with different wavelength probing different depths in the atmosphere. Koen (2013) finds a poor overlap between the variables identified with optical and near-IR filters (of the 13 variables already observed in near-IR surveys, 7 were found as constant and 6 as variable in the optical). Because of the uniform sensitivity of this survey, we did not incorporate the results of previous studies into the statistics, presented in Table 7. The presence of highly variable objects outside the transition region, may suggest the possibility of both early onset of cloud condensation in the atmospheres of mid-L dwarfs and the emergence of sulfide clouds in mid-T dwarfs (Morley et al. 2012). Other physical processes that have been suggested to possibly induce variability in the atmospheres of brown dwarfs include coupling clouds with global atmosphere circulation (Showman & Kaspi 2013; Zhang & Showman 2014), and variability caused by thermal perturbations emitted from deeper layers within the brown dwarf atmosphere (Robinson & Marley 2014).

6.3 Variability as a function of colour within a spectral type

The colour of the sample as a function of the spectral type is shown in Figure 11 (right). The targets span nearly the full colour spread in early-L, transition and late-T sub sample. The 14 BAM variables and the three candidates are not clustered toward either the red or the blue within any particular spectral type. Previous studies (e.g. Khandrika et al. 2013) have suggested that brown dwarfs with unusual colours (highly red or blue) compared to the median of the spectral type might be indicative of variable cloud cover. We performed a two sample K-S test to determine whether or not the detrended colors of the BAM variables were distinct from the rest of the sample. The maximum difference between the cumulative distributions was 0.18 with a corresponding -value of , indicating that the two datasets are consistent with being drawn from the same sample. The BAM study thus finds no correlation between the variables and the colour of a brown dwarf within each spectral type.

6.4 Binarity and variability

The BAM sample includes 12 confirmed binaries out of 47 targets studied for binarity with another four SpeX spectra binary candidates. Including the binary candidates, 10 out of the 16 binaries in the BAM sample fall in the L/T transition. This is consistent with previous detections of an increase in the binary frequency across the L-T transition Burgasser et al. (2006). Amongst the BAM variables, only 2M2255 is a confirmed binary, while 2M1207 and 2M2139 are binary candidates. Five of the variables are confirmed to be single, and six have not been studied for binarity. The limited data provides no evidence to support a correlation between variability and binarity amongst the objects in the BAM survey.

6.5 Persistence of variability

A recent multi-epoch (4 years) monitoring study of the variable brown dwarf SIMP0136 (Metchev et al. 2013) revealed that the target has significant evolution in its light curve, changing from highly variable to constant in a 2 month period. When compared to the SofI light curve for SIMP0136, the target shows a fascinating variation in amplitude. It appears to be variable at 3% in the SofI data, while a month later it shows large amplitude variations (9%) in the -band, only to appear constant a few months later. Similar night-to-night variations have also been seen in SDSS J105213.51+442255.7 (Girardin et al. 2013). The evolution indicates a lack of persistence in the source of variability over timescales longer than a few weeks and it suggests that the brown dwarfs identified as constant in this study might similarly exhibit periods of quiescence and enhanced activity. The BAM survey only examines variability on the timescale of a single rotation period or less as compared to some surveys (e.g. Gelino et al. 2002; Enoch et al. 2003) that study the flux variations of brown dwarfs over longer timescales.

The BAM data, in combination with previous results, can be used to address the question of persistence of variability. Table 8 summarizes the observations related to persistence of variability, using information presented in Table 5 and 6. For greatest consistency with the BAM study, we consider other epochs of near-IR data rather than optical. A total of of 34 BAM targets have an earlier epoch of observation. 2M0228 is the only source measured to be variable in the optical () that switched from variable to constant. Table 8 indicates that brown dwarf variability does not necessarily persist on longer timescales, with only half the BAM variables showing variation in both epochs. The survey finds four previously constant objects to be variable and nine targets previously reported as variable in the literature to be constant, making these ideal candidates for multiple epoch monitoring programs.

Total targets with 2 epochs 34
Variable at 2 epochs 6
Constant at 2 epochs 15
Switch between variable and constant 13
Table 8: Summary of Persistence Results

7 Summary

We present the results of the largest near-IR brown dwarf variability survey conducted in the -band using the NTT 3.5 m telescope. The BAM survey has an unbiased sample of 69 early-L through late-T brown dwarfs. A total of 14 variable objects were detected: six new variables not previously studied for variability, three objects previously reported as constant, and five previously known variables. The nine newly identified variables constitute a significant increase in the total number of known brown dwarf variables characterisable using ground-based facilities. In a recent study of 57 L4-T9 brown dwarfs (Radigan et al. 2014), a set of 35 targets were observed by both studies, enabling a direct comparison of results. Of the 35 targets in both samples, both studies classify a common 26 targets as not variable and a common four targets as variable. Of the five remaining variables noted in a single study (two in BAM, three in Radigan et al. 2014), four can be explained by differences in sensitivity for the specific light curves.

Rather than quoting a single number for the variability frequency, we discuss how the frequency of variable brown dwarfs depends on different factors such as the observed wavelength and the variability amplitude. The BAM study, representing the largest and most uniform ground-based search for variability, was designed to address the important question of the physical properties of brown dwarf atmospheres including the L-T transition. One class of models has suggested that this colour change, that defines the transition, may be a manifestation of the breakup of clouds resulting in a patchy coverage across the surface (Ackerman & Marley 2001), which would have the observable consequence of enhanced variability at the L-T transition. Considering the results of this study, covering both transition and non-transition objects and statistical significance of the variability, there is no distinction between the variability frequency between the brown dwarfs in the transition region or outside the transition region. This suggests that the patchy cloud scenario may not provide the full explanation for the L-T transition or that the induced level of variability is substantially below the detection thresholds of the current study. The 14 variables, including the nine newly identified variables, will provide valuable systems with which to pursue additional questions of the physics of brown dwarf atmospheres, including the longitudinal and vertical variations of clouds and active regions which can be inferred from multi-wavelength follow-up monitoring.

Acknowledgements.
Based on observations made with ESO Telescopes at the La Silla Paranal Observatory under programme ID 188.C-0493. We would like to thank the anonymous referee for valuable suggestions thats helped improve this paper. PAW acknowledges support from STFC. JP was supported by a Leverhulme research project grant (F/00144/BJ), and funding from an STFC standard grant. This research has made use of the SIMBAD database and VizieR catalogue access tool, CDS, Strasbourg, France. The original description of the VizieR service was published in A&AS 143, 23. This research has benefitted from the M, L, T, and Y dwarf compendium housed at DwarfArchives.org. This research made use of Astropy, a community-developed core Python package for Astronomy (Astropy Collaboration et al. 2013). We thank F. Pont, R. De Rosa and D. K. Sing for valuable feedback and discussion.

Footnotes

  1. Based on observations made with ESO Telescopes at La Silla Observatory under programme ID 188.C-0493.
  2. IRAF is distributed by the National Optical Astronomy Observatories, which are operated by the Association of Universities for Research in Astronomy, Inc., under cooperative agreement with the National Science Foundation.
  3. http://www.eso.org/sci/facilities/lasilla/instruments/sofi/tools/reduction/sofi_scripts.html

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