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Dec 15, 2014
Materials Science

Defect physics, delithiation mechanism, and electronic and ionic co…

Layered LiMnO$_2$ and Li$_2$MnO$_3$ are of great interest for lithium-ion battery cathodes because of their high theoretical capacities. The practica…
Jan 01, 2016
Soft Condensed Matter

Depletion-Induced Forces and Crowding in Polymer-Nanoparticle Mixture…

Depletion forces and macromolecular crowding govern the structure and function of biopolymers in biological cells and the properties of polymer nanoc…
Oct 26, 2017
Materials Science

First-principles theory of doping in layered oxide electrode materials

Doping lithium-ion battery electrode materials LiMO$_2$ (M = Co, Ni, Mn) with impurities has been shown to be an effective way to optimize their elec…
May 22, 2013
Mathematical Physics

On the Study of Hyperbolic Triangles and Circles by Hyperbolic Bary…

Barycentric coordinates are commonly used in Euclidean geometry. Following the adaptation of barycentric coordinates for use in hyperbolic geometry i…
Aug 19, 2015
Group Theory
Dynamical Systems
Geometric Topology

Existence and genericity of finite topological generating sets for …

We show that the topological groups $Diff_{+}^{1}(I)$ and $Diff_{+}^{1}(\mathbb{S}^1)$ of orientation-preserving $C^1$-diffeomorphisms of the interva…
Apr 05, 2015
Geometric Topology

Virtual singular braids and links

Virtual singular braids are generalizations of singular braids and virtual braids. We define the virtual singular braid monoid via generators and rel…
May 29, 2018
Combinatorics

Sign matrix polytopes from Young tableaux

Motivated by the study of polytopes formed as the convex hull of permutation matrices and alternating sign matrices, we define several new families o…
Oct 17, 2016
Soft Condensed Matter

Swelling, Structure, and Phase Stability of Compressible Microgels

Microgels are soft colloidal particles that, when dispersed in a solvent, swell and deswell in response to changes in environmental conditions, such …
Jan 15, 2015
Statistical Mechanics
Biological Physics
Computational Physics

Large density expansion of a hydrodynamic theory for self-propelled …

Recently, an Enskog-type kinetic theory for Vicsek-type models for self-propelled particles has been proposed [T. Ihle, Phys. Rev. E 83, 030901 (2011…
Oct 21, 2014
Soft Condensed Matter

Structure and Osmotic Pressure of Ionic Microgel Dispersions

We investigate structural and thermodynamic properties of aqueous dispersions of ionic microgels -- soft colloidal gel particles that exhibit unusual…
Jun 25, 2011
Soft Condensed Matter

Crowding of Polymer Coils and Demixing in Nanoparticle-Polymer Mixtur…

The Asakura-Oosawa-Vrij (AOV) model of colloid-polymer mixtures idealizes nonadsorbing polymers as effective spheres that are fixed in size and impen…
Apr 25, 2010
Soft Condensed Matter

Poisson-Boltzmann Theory of Charged Colloids: Limits of the Cell Mode…

Thermodynamic properties of charge-stabilised colloidal suspensions are commonly modeled by implementing the mean-field Poisson-Boltzmann (PB) theory…
Jan 31, 2014
Statistical Mechanics

Towards a quantitative kinetic theory of polar active matter

A recent kinetic approach for Vicsek-like models of active particles is reviewed. The theory is based on an exact Chapman-Kolmogorov equation in phas…
Sep 21, 2018
Soft Condensed Matter

Influence of Solvent Quality on Conformations of Crowded Polymers

The structure and function of polymers in confined environments, e.g., biopolymers in the cytoplasm of a cell, are strongly affected by macromolecula…
May 10, 2017
Applied Physics

Optimizing coating performance for diffusion under cyclic moisture …

Fickian diffusion is often used to model moisture transport through barrier coatings, where the goal is to protect an underlying substrate from the o…
Oct 24, 2014
Soft Condensed Matter

Polymer Crowding and Shape Distributions in Polymer-Nanoparticle Mi…

Macromolecular crowding can influence polymer shapes, which is important for understanding the thermodynamic stability of polymer solutions and the s…
Oct 27, 2017
Materials Science

Doping Li-rich cathode material Li$_2$MnO$_3$: Interplay between latt…

We report a detailed first-principles study of doping in Li$_2$MnO$_3$, in both the dilute doping limit and heavy doping, using hybrid density-functi…
Aug 01, 2013
Group Theory
Dynamical Systems
Geometric Topology

Extension of Hölder's Theorem in Diff_{+}^{1+ε}(I)

We prove that if \Gamma is subgroup of Diff_{+}^{1+\epsilon}(I) and N is a natural number such that every non-identity element of \Gamma has at most …
Oct 10, 2018
Materials Science

Defect energy levels and persistent luminescence in Cu-doped ZnS

Zinc sulfide (ZnS) based materials are widely used in many applications. Yet, due to a lack of detailed knowledge of defect energy levels, the electr…
Aug 27, 2012
Combinatorics

The unit weight hypercube had a nice parity argument to show the winner. Unfortunately, the hypercube weighted arbitrarily is not so easy to solve. We know very quickly that weight matters with the arbitrarily weighted hypercube. Take for a simple e…

Nim on hypercubes

The ordinary game of Nim has a long history and is well-known in the area of combinatorial game theory. The solution to the ordinary game of Nim has …
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