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We consider an off-lattice liquid crystal pair potential in strictly two dimensions. The potential is purely repulsive and short-ranged. Nevertheless, by means of a single parameter in the potential, the system is shown to undergo a…

Soft Condensed Matter · Physics 2012-07-17 H. H. Wensink , R. L. C. Vink

We develop n-cluster mean-field theories (0 < n < 5) for calculating the flow properties of the non-equilibrium steady-states of the Katz-Lebowitz-Spohn model of the driven diffusive lattice gas, with attractive and repulsive inter-particle…

Statistical Mechanics · Physics 2009-11-07 Debashish Chowdhury , Jian-Sheng Wang

Phase separation dynamics with an initially non-uniform concentration are studied. Critical and off-critical behavior is observed simultaneously. A mechanism for an expanding phase separated region is demonstrated and the time dependence of…

Condensed Matter · Physics 2009-10-22 A. M. Lacasta , J. M. Sancho , Chuck Yeung

In this paper we investigate a rate--independent model for hybrid laminates described by a damage phase--field approach on two layers coupled with a cohesive law governing the behaviour of their interface in a one-dimensional setup. For the…

Analysis of PDEs · Mathematics 2021-05-25 Elena Bonetti , Cecilia Cavaterra , Francesco Freddi , Filippo Riva

Considering the dynamics of non-interacting particles randomly moving on a lattice, the occurrence of a discontinuous transition in the values of the lattice parameters (lattice spacing and hopping times) determines the uprisal of two…

Statistical Mechanics · Physics 2019-07-24 Massimiliano Giona , Davide Cocco

We investigate the single-file dynamics of a tagged particle in a system consisting of N hardcore interacting particles (the particles cannot pass each other) which are diffusing in a one-dimensional system where the particles have…

Statistical Mechanics · Physics 2009-11-13 Tobias Ambjornsson , Ludvig Lizana , Michael A. Lomholt , Robert J. Silbey

Instabilities and pattern formation is the rule in nonequilibrium systems. Selection of a persistent lengthscale, or coarsening (increase of the lengthscale with time) are the two major alternatives. When and under which conditions one…

Statistical Mechanics · Physics 2010-01-25 Chaouqi Misbah , Paolo Politi

A discrete drift-diffusion model is derived from a microscopic sequential tunneling model of charge transport in weakly coupled superlattices provided temperatures are low or high enough. Realistic transport coefficients and novel contact…

Condensed Matter · Physics 2009-10-31 L. L. Bonilla , G. Platero , D. Sanchez

We study a lattice model for the spreading of fluid films, which are a few molecular layers thick, in narrow channels with inert lateral walls. We focus on systems connected to two particle reservoirs at different chemical potentials,…

Statistical Mechanics · Physics 2009-11-13 C. Dotti , A. Gambassi , M. N. Popescu , S. Dietrich

We study reversible deterministic dynamics of classical charged particles on a lattice with hard-core interaction. It is rigorously shown that the system exhibits three types of transport phenomena, ranging from ballistic, through diffusive…

Statistical Mechanics · Physics 2017-09-19 Marko Medenjak , Katja Klobas , Tomaz Prosen

We study nonequilibrium phase transitions in a mass-aggregation model which allows for diffusion, aggregation on contact, dissociation, adsorption and desorption of unit masses. We analyse two limits explicitly. In the first case mass is…

Statistical Mechanics · Physics 2009-10-31 Satya N. Majumdar , Supriya Krishnamurthy , Mustansir Barma

In continuum thermodynamics, models of two-phase mixtures typically obey the condition of pressure equilibrium across interfaces between the phases. We propose a new non-equilibrium model beyond that condition, allowing for microinertia of…

Fluid Dynamics · Physics 2023-12-18 Ilya Peshkov , Evgeniy Romenski , Michal Pavelka

We study a driven many particle system comprising of two identical lanes of finite lengths. On one lane, particles hop diffusively with a bias in a specific direction. On the other lane, particles hop in a specific direction obeying mutual…

Statistical Mechanics · Physics 2015-06-03 Bappa Saha , Sutapa Mukherji

We consider a lattice gas interacting by the exclusion rule in the presence of a random field given by i.i.d. bounded random variables in a bounded domain in contact with particles reservoir at different densities. We show, in dimensions $d…

Probability · Mathematics 2015-05-13 Mustapha Mourragui , Enza Orlandi

Numerical heat and mass transfer analysis of a configuration where a cool liquid hydrocarbon is suddenly introduced to a hotter gas at supercritical pressure shows that a well-defined phase equilibrium can be established before substantial…

Fluid Dynamics · Physics 2022-04-25 Jordi Poblador-Ibanez , William A. Sirignano

We study the collective behavior of nonequilibrium systems subject to an external field with a dynamics characterized by the existence of non-interacting states. Aiming at exploring the generality of the results, we consider two types of…

Disordered Systems and Neural Networks · Physics 2011-07-12 J. C. Gonzalez-Avella , M. G. Cosenza , V. M. Eguiluz , M. San Miguel

Diffusion of colloidal particles in a complex environment such as polymer networks or biological cells is a topic of high complexity with significant biological and medical relevance. In such situations, the interaction between the…

Statistical Mechanics · Physics 2015-11-10 Andreas M. Menzel

We introduce a rejection-free continuous-time kinetic Monte Carlo framework to study stochastic systems governed by multiple concurrent dynamical mechanisms. In this approach, the relative activity of each dynamical channel emerges…

Statistical Mechanics · Physics 2026-03-31 R. A. Dumer , M. Godoy , J. F. F. Mendes

Diffusion in an evolving environment is studied by continuos-time Monte Carlo simulations. Diffusion is modelled by continuos-time random walkers on a lattice, in a dynamic environment provided by bubbles between two one-dimensional…

Soft Condensed Matter · Physics 2010-11-22 Janne Juntunen , Juha Merikoski

We analyze the combined effect of the long range Coulomb (LRC) interaction and of surface energy on first order density-driven phase transitions in the presence of a compensating rigid background. We study mixed states formed by regions of…

Strongly Correlated Electrons · Physics 2009-10-31 J. Lorenzana , C. Castellani , C. Di Castro