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Related papers: Order-disorder transition in active nematic: A lat…

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We report hybrid lattice Boltzmann (HLB) simulations of the hydrodynamics of an active nematic liquid crystal sandwiched between confining walls with various anchoring conditions. We confirm the existence of a transition between a passive…

Soft Condensed Matter · Physics 2009-11-13 D. Marenduzzo , E. Orlandini , M. E. Cates , J. M. Yeomans

In this paper we study an effective model for the normal state of iron-based superconductors. It has separate, but interacting itinerant and localized degrees of freedom, originating from the d_xz and d_yz, and from d_xy iron orbitals…

Strongly Correlated Electrons · Physics 2013-05-22 Valentin Stanev , Peter B. Littlewood

A certain two-dimensional lattice model with nearest and next-nearest neighbor interactions is known to have a limit-periodic ground state. We show that during a slow quench from the high temperature, disordered phase, the ground state…

Statistical Mechanics · Physics 2012-01-30 Travis W. Byington , Joshua E. S. Socolar

I put forward a continuum theory for active nematic gels, defined as fluids or suspensions of orientable rodlike objects endowed with active dynamics, that is based on symmetry arguments and compatibility with thermodynamics. The starting…

Soft Condensed Matter · Physics 2017-11-15 Stefano S Turzi

Liquid crystal materials exhibiting up to three nematic phases are reported. Dielectric response measurements show that while the lower temperature nematic phase has ferroelectric order and the highest temperature nematic phase is apolar,…

Soft Condensed Matter · Physics 2021-09-07 S. Brown , E. Cruickshank , J. M. D. Storey , C. T. Imrie , D. Pociecha , M. Majewska , A. Makal , E. Gorecka

In liquid-crystalline elastomers, the nematic order parameter and the induced strain vary smoothly across the isotropic-nematic transition, without the expected first-order discontinuity. To investigate this smooth variation, we measure the…

Soft Condensed Matter · Physics 2009-11-07 J. V. Selinger , H. G. Jeon , B. R. Ratna

We consider a system of colloidal particles embedded in a paranematic -- an isotropic phase of a nematogenic medium above the temperature of the nematic-to-isotropic transition. In this state, the nematic order is induced by the boundary…

Analysis of PDEs · Mathematics 2025-08-08 Dmitry Golovaty , Jamie Taylor , Raghavendra Venkatraman , Arghir Zarnescu

Water ice's remarkable properties make it an important material across a range of disciplines. The combination of covalent and hydrogen bonds form a long-range lattice of oxygens, which hosts a disordered yet correlated hydrogen network. We…

Populations of heterogeneous, noisy oscillators on a two-dimensional lattice display short-range order. Here, we show that if the oscillators are allowed to actively move in space, the system undergoes instead a…

Statistical Mechanics · Physics 2025-03-21 Ylann Rouzaire , Parisa Rahmani , Ignacio Pagonabarraga , Fernando Peruani , Demian Levis

We introduce a simple mean-field lattice model to describe the behavior of nematic elastomers. This model combines the Maier-Saupe-Zwanzig approach to liquid crystals and an extension to lattice systems of the Warner-Terentjev theory of…

Statistical Mechanics · Physics 2012-05-22 D. B. Liarte , C. S. O. Yokoi , S. R. Salinas

The Ising lattice gas, with its well known equilibrium properties, displays a number of surprising phenomena when driven into non-equilibrium steady states. We study such a model with anisotropic interparticle interactions ($J_{\Vert }\neq…

Statistical Mechanics · Physics 2015-06-25 L. B. Shaw , B. Schmittmann , R. K. P. Zia

We investigate in this paper the ground state and the nature of the transition from an orientational ordered phase at low temperature to the disordered state at high temperature in a molecular crystal. Our model is a Potts model which takes…

Statistical Mechanics · Physics 2015-06-03 Danh-Tai Hoang , H. T. Diep

We consider the overdamped dynamics of a paradigmatic long-range system of particles residing on the sites of a one-dimensional lattice, in the presence of thermal noise. The internal degree of freedom of each particle is a periodic…

Statistical Mechanics · Physics 2013-12-03 Shamik Gupta , Alessandro Campa , Stefano Ruffo

We introduce a multi-species lattice gas model for motor protein driven collective cargo transport on cellular filaments. We use this model to describe and analyze the collective motion of interacting vesicle cargoes being carried by…

Statistical Mechanics · Physics 2010-09-10 Sudipto Muhuri , Ignacio Pagonabarraga

Motivated by the unusual soft mode anomalies in the relaxor ferroelectrics, we present a numerical study of vibrational excitations of a disordered lattice model with chemical order on the nano-scale. We find an Ioffe-Regel crossover in…

Materials Science · Physics 2007-05-23 Prasenjit Ghosh , Umesh V. Waghmare

We review recent progress in understanding the full phase diagram of a one-dimensional, driven, two-species lattice model [Lahiri and Ramaswamy, PRL 79 (1997) 1150] in which the mobility of each species depends on the density of the other.…

Statistical Mechanics · Physics 2007-05-23 Sriram Ramaswamy , Mustansir Barma , Dibyendu Das , Abhik Basu

Our study explores the mixture of polar particles in apolar environment. We employ a coarse-grained approach to model the mixture, where polar particles are in minority. The interaction between polar and apolar components is incorporated…

Soft Condensed Matter · Physics 2025-07-11 Pawan Kumar Mishra , Partha Sarathi Mondal , Pratikshya Jena , Shradha Mishra

We consider a nematic liquid crystal, in coexistence with its isotropic phase, in contact with a substrate patterned with rectangular grooves. In such a system, the nematic phase may fill the grooves without the occurrence of complete…

Soft Condensed Matter · Physics 2013-07-01 Matthew L. Blow , Margarida M. Telo da Gama

The driven lattice gas (DLG) evolving at low temperature helps understanding the kinetics of pattern formation in unstable mixtures under anisotropic conditions. We here develop a simple theoretical description of kinetics in Monte Carlo…

Statistical Mechanics · Physics 2009-11-10 Pablo I. Hurtado , J. Marro , Pedro L. Garrido , E. V. Albano

We consider a Lebwohl-Lasher lattice model with nematic directors restricted to point along $p$ planar directions. This $XY$ Lebwohl-Lasher system is the nematic analogue of the standard $p$-state clock model. We then include chiral…

Statistical Mechanics · Physics 2019-06-27 E. S. Nascimento , A. Petri , S. R. Salinas
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