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Related papers: Pattern formation in a coupled driven diffusive sy…

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An investigation of the two-dimensional Widom-Rowlinson lattice gas under an applied drive uncovered a remarkable non-equilibrium steady state in which uniform stripes (reminiscent of an equilibrium lamellar phase) form perpendicular to the…

Statistical Mechanics · Physics 2021-12-30 Maxim O. Lavrentovich , Ronald Dickman , R. K. P. Zia

We numerically examine a binary system of particles with repulsive interactions, where one species is driven by a rotating drive and the other is subjected either to a constant drive in a fixed direction or to a rotating drive that is out…

Soft Condensed Matter · Physics 2026-05-07 C. Reichhardt , C. J. O. Reichhardt

Using an analytically tractable lattice model for reaction-diffusion processes of hard-core particles we demonstrate that under nonequilibrium conditions phase coexistence may arise even if the system is effectively one-dimensional as e.g.…

Statistical Mechanics · Physics 2007-05-23 Fatemeh Tabatabaei , Gunter M. Schütz

We study three different lattice models in which two species of diffusing particles are driven in opposite directions by an electric field. We focus on dynamical phase transitions that involve phase separation into domains that may be…

Statistical Mechanics · Physics 2022-09-15 Honghao Yu , Kristian Thijssen , Robert L. Jack

Gradient-driven diffusion in crowded, multicomponent mixtures is a topic of high interest because of its role in biological processes such as transport in cell membranes. In partially phase-separated solutions, gradient-driven diffusion…

Soft Condensed Matter · Physics 2017-02-15 Prithviraj Nandigrami , Brandy Grove , Andrew Konya , Robin L. B. Selinger

Pattern formation in reaction-diffusion systems is of great importance in surface micro-patterning [Grzybowski et al. Soft Matter. 1, 114 (2005)], self-organization of cellular micro-organisms [Schulz et al. Annu. Rev. Microbiol. 55, 105…

Soft Condensed Matter · Physics 2015-05-19 S. G. Ayodele , F. Varnik , D. Raabe

Colloidal particles of two types, driven in opposite directions, can segregate into lanes [Vissers et al. Soft Matter 7, 2352 (2011)]. This phenomenon can be reproduced by two-dimensional Brownian dynamics simulations of model particles…

Statistical Mechanics · Physics 2016-08-31 Katherine Klymko , Phillip L. Geissler , Stephen Whitelam

The short-range attraction and long-range repulsion (SALR) between nanoparticles or macromolecules can lead to spontaneous pattern formation on solid surfaces, fluid interfaces or membranes. In order to study the self-assembly in such…

Soft Condensed Matter · Physics 2014-01-07 J. Pekalski , A. Ciach , N. Almarza

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

We study a two filament driven lattice gas model with oppositely directed species of particles moving on two parallel filaments with filament switching processes and particle inflow and outflow at filament ends. The filament switching…

Soft Condensed Matter · Physics 2017-03-08 Subhadip Ghosh , Ignacio Pagonabarraga , Sudipto Muhuri

We introduce and study a deterministic lattice model describing the motion of an infinite system of oppositely charged particles under the action of a constant electric field. As an application this model represents a traffic flow of cars…

Dynamical Systems · Mathematics 2009-11-13 Michael Blank

A binary system of particles that move in opposite directions under an applied field can exhibit disordered states as well as laned states where the particles organize into oppositely moving high-mobility lanes to reduce collisions.…

Soft Condensed Matter · Physics 2025-10-21 C. Reichhardt , C. J. O. Reichhardt

Fluids with competing short range attraction and long range repulsive interactions between the particles can exhibit a variety of microphase separated structures. We develop a lattice-gas (generalised Ising) model and analyse the phase…

Soft Condensed Matter · Physics 2016-01-20 Blesson Chacko , Christopher Chalmers , Andrew J. Archer

We study the filling process of a two-dimensional silo with inelastic particles by simulation of a granular media lattice gas (GMLG) model. We calculate the surface shape and flow profiles for a monodisperse system and we introduce a novel…

Disordered Systems and Neural Networks · Physics 2009-10-31 Antal Károlyi , János Kertész , Shlomo Havlin , Hernán A. Makse , H. Eugene Stanley

Oppositely driven binary particles with repulsive interactions on the square lattice are investigated at the zero-temperature limit. Two classes of steady states related to stuck configurations and lane formations have been constructed in…

Statistical Mechanics · Physics 2025-01-06 Hiroki Ohta

We study in detail a one-dimensional lattice model of a continuum, conserved field (mass) that is transferred deterministically between neighbouring random sites. The model falls in a wider class of lattice models capturing the joint effect…

Statistical Mechanics · Physics 2023-11-01 Stefano Lepri , Paolo Politi , Arkady Pikovsky

In the Widom-Rowlinson lattice gas, two particle species (A, B) diffuse freely via particle-hole exchange, subject to both on-site exclusion and prohibition of A-B nearest-neighbor pairs. As an athermal system, the overall densities are the…

Statistical Mechanics · Physics 2018-08-01 Ronald Dickman , R. K. P. Zia

The asymmetric simple exclusion process with additional Langmuir kinetics, i.e. attachment and detachment in the bulk, is a paradigmatic model for intracellular transport. Here we study this model in the presence of randomly distributed…

Statistical Mechanics · Physics 2009-11-13 Philip Greulich , Andreas Schadschneider

We study analytically the dynamics and the micro-structural changes of a host medium caused by a driven tracer particle moving in a confined, quiescent molecular crowding environment. Imitating typical settings of active micro-rheology…

Statistical Mechanics · Physics 2016-03-17 O. Bénichou , P. Illien , G. Oshanin , A. Sarracino , R. Voituriez

A new lattice Boltzmann model (LBM) is presented to describe chemically reacting multicomponent fluid flow in homogenised porous media. In this work, towards further generalizing the multicomponent reactive lattice Boltzmann model, we…

Fluid Dynamics · Physics 2024-09-06 Nilesh Sawant , Ilya Karlin
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