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We investigate theoretically the morphology of a thin nematic film adsorbed at flat substrate patterned by stripes with alternating aligning properties, normal and tangential respectively. We construct a simple "exactly-solvable" effective…

Soft Condensed Matter · Physics 2017-02-01 Nuno M. Silvestre , Margarida M. Telo da Gama , Mykola Tasinkevych

Segregation and mixing of granular mixtures during heap formation have important consequences in industry and agriculture. This research investigates three different final particle configurations of bi-disperse granular mixtures --…

Soft Condensed Matter · Physics 2012-12-03 Yi Fan , Youcef Boukerkour , Thibault Blanc , Paul B. Umbanhowar , Julio M. Ottino , Richard M. Lueptow

A mathematical model of the process of carbon capture in a packed column by adsorption is developed and analysed. First a detailed study is made of the governing equations. Due to the complexity of the internal geometry it is standard…

Other Condensed Matter · Physics 2020-09-15 T. G. Myers , F. Font , M. G. Hennessy

We employ a molecular dynamics (MD) study to explore pattern selection in binary fluid mixtures ($AB$) undergoing surface-directed spinodal decomposition on a chemically patterned amorphous substrate. We chose a checkerboard pattern with…

Soft Condensed Matter · Physics 2025-12-12 Syed Shuja Hasan Zaidi , Hema Teherpuria , Santosh Mogurampelly , Prabhat K. Jaiswal

Several recent imaging experiments access the equilibrium density profiles of interacting particles confined to a two-dimensional substrate. When these particles are in a fluid phase, we show that such data yields precise information…

Disordered Systems and Neural Networks · Physics 2016-08-31 Ankush Sengupta , Surajit Sengupta , Gautam I. Menon

Order parameters based on spherical harmonics and Fourier coefficients already play a significant role in condensed matter research in the context of systems of spherical or point particles. Here, we extend these types of order parameter to…

Soft Condensed Matter · Physics 2010-12-22 Aaron S. Keys , Christopher R. Iacovella , Sharon C. Glotzer

Many standard structural quantities, such as order parameters and correlation functions, exist for common condensed matter systems, such as spherical and rod-like particles. However, these structural quantities are often insufficient for…

Soft Condensed Matter · Physics 2012-01-18 Aaron S. Keys , Christopher R. Iacovella , Sharon C. Glotzer

Phase separation of sequence-disordered liquid crystalline polymers, a promising class of technological and biological relevance, is studied by field theory, and thermodynamic mechanisms responsible for orientational ordering observed in…

Statistical Mechanics · Physics 2016-08-31 L. Gutman , E. I. Shakhnovich

A previously developed fundamental measure fucntional [J. Chem. Phys. vol.107, 6379 (1997)] is used to study the phase behavior of a system of parallel hard cubes. The single-component fluid exhibits a continuous transition to a solid with…

Soft Condensed Matter · Physics 2009-10-31 Y. Martinez-Raton , J. A. Cuesta

The solid--fluid phase transition of a granular material shaken horizontally is investigated numerically. We find that it is a second-order phase transition and propose two order parameters, namely the averaged kinetic energy and the…

Soft Condensed Matter · Physics 2009-10-30 Gerald H. Ristow

We show that for small values of the chemical potential the curvature of the phase transition line can be deduced from an analysis of scaling properties of the chiral condensate and its susceptibilities. We make use of a recent analysis of…

High Energy Physics - Lattice · Physics 2010-12-13 Christian Schmidt , Swagato Mukherjee

The dynamics of phase separation for a binary fluid subjected to a uniform shear are solved exactly for a model in which the order parameter is generalized to an n-component vector and the large-n limit taken. Characteristic length scales…

Statistical Mechanics · Physics 2009-10-31 N. P. Rapapa , A. J. Bray

Understanding the condensed-phase behavior of chiral molecules is important in biology, as well as in a range of technological applications, such as the manufacture of pharmaceuticals. Here, we use molecular dynamics simulations to study a…

Statistical Mechanics · Physics 2023-12-27 Pablo M. Piaggi , Roberto Car , Frank H. Stillinger , Pablo G. Debenedetti

Nearly all dense suspensions undergo dramatic and abrupt thickening transitions in their flow behaviour when sheared at high stresses. Such transitions occur when the dominant interactions between the suspended particles shift from…

We explore liquid crystal order in a cell with a "dirty" substrate imposing a random surface pinning. Modeling such systems by a random-field xy-model with surface heterogeneity, we find that orientational order in the three-dimensional…

Soft Condensed Matter · Physics 2009-10-13 Leo Radzihovsky , Quan Zhang

We examine the phase transition of polymer adsorption as well as the underlying kinetics of polymer binding from dilute solutions on a structureless solid surface. The emphasis is put on the properties of regular multiblock copolymers,…

Soft Condensed Matter · Physics 2009-09-03 A. Milchev , V. Rostiashvili , S. Bhattacharya , T. Vilgis

The influence of size differences, shape, mass and persistent motion on phase separation in binary mixtures has been intensively studied. Here we focus on the exclusive role of diffusivity differences in binary mixtures of equal-sized…

Soft Condensed Matter · Physics 2016-03-04 Simon N. Weber , Christoph A. Weber , Erwin Frey

A possible solution of the well known paradox of chiral molecules is based on the idea of spontaneous symmetry breaking. At low pressure the molecules are delocalized between the two minima of a given molecular potential while at higher…

Chemical Physics · Physics 2015-08-05 Carlo Presilla , Giovanni Jona-Lasinio

We investigate the competitive adsorption of a two-component gas on the surface of an adsorbent whose adsorption properties vary in adsorption due to the adsorbent deformation. The essential difference of adsorption isotherms for a…

Materials Science · Physics 2015-06-17 A. S. Usenko

Using field theoretic renormalization group methods we study the critical behavior of a driven diffusive system near a boundary perpendicular to the driving force. The boundary acts as a particle reservoir which is necessary to maintain the…

Statistical Mechanics · Physics 2009-10-31 K. Oerding , H. K. Janssen