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We study a system composed of two parallel totally asymmetric simple exclusion processes with open boundaries, where the particles move in the two lanes in opposite directions and are allowed to jump to the other lane with rates inversely…

Statistical Mechanics · Physics 2007-08-23 Robert Juhasz

We study an open system composed of two parallel totally asymmetric simple exclusion processes with particle attachment and detachment in the bulk. The particles are allowed to change their lane from lane-A to lane-B, but not conversely. We…

Statistical Mechanics · Physics 2015-06-17 Arvind Kumar Gupta , Isha Dhiman

Many biological processes are supported by special molecules, called motor proteins or molecular motors, that transport cellular cargoes along linear protein filaments and can reversibly associate to their tracks. Stimulated by these…

Statistical Mechanics · Physics 2021-11-17 Akriti Jindal , Anatoly B. Kolomeisky , Arvind Kumar Gupta

We investigate a model for driven exclusion processes where internal states are assigned to the particles. The latter account for diverse situations, ranging from spin states in spintronics to parallel lanes in intracellular or vehicular…

Statistical Mechanics · Physics 2007-06-13 Tobias Reichenbach , Erwin Frey , Thomas Franosch

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

We show how a fixed point based boundary-layer analysis technique can be used to obtain the steady-state particle density profiles of driven exclusion processes on two-lane systems with open boundaries. We have considered two distinct…

Statistical Mechanics · Physics 2015-06-11 Vandana Yadav , Rajesh Singh , Sutapa Mukherji

Multi-lane totally asymmetric simple exclusion processes with interactions between the lanes have recently been investigated actively. This paper proposes a two-lane model with extended Langmuir kinetics on a periodic lattice. Both…

Cellular Automata and Lattice Gases · Physics 2022-02-09 Hiroki Yamamoto , Shingo Ichiki , Daichi Yanagisawa , Katsuhiro Nishinari

Simple exclusion processes for particles moving along two parallel lattices and jumping between them are theoretically investigated for asymmetric rates of transition between the channels. An approximate theoretical approach, that describes…

Statistical Mechanics · Physics 2009-11-11 Ekaterina Pronina , Anatoly B. Kolomeisky

We study completely asymmetric 2-channel exclusion processes in 1 dimension. It describes a two-way traffic flow with cars moving in opposite directions. The interchannel interaction makes cars slow down in the vicinity of approaching cars…

Statistical Mechanics · Physics 2008-11-26 H. -W. Lee , V. Popkov , D. Kim

We consider a binary system of particles with repulsive interactions that move in opposite or perpendicular directions to each other under an applied external drive. For opposite driving, at higher drives a phase-separated laned state forms…

Statistical Mechanics · Physics 2025-12-17 C. Reichhardt , C. J. O. Reichhardt

We introduce driven exclusion processes with internal states that serve as generic transport models in various contexts, ranging from molecular or vehicular traffic on parallel lanes to spintronics. The ensuing non-equilibrium steady states…

Statistical Mechanics · Physics 2008-01-31 Tobias Reichenbach , Thomas Franosch , Erwin Frey

We consider a large class of two-lane driven diffusive systems in contact with reservoirs at their boundaries and develop a stability analysis as a method to derive the phase diagrams of such systems. We illustrate the method by deriving…

Statistical Mechanics · Physics 2011-07-12 M. R. Evans , Y. Kafri , K. E. P. Sugden , J. Tailleur

A one dimensional stochastic exclusion process with two species of particles, $+$ and $-$, is studied where density of each species can fluctuate but the total particle density is conserved. From the exact stationary state weights we show…

Statistical Mechanics · Physics 2017-01-10 Urna Basu

We consider a system of two coupled particles evolving in a periodic and spatially symmetric potential under the influence of external driving and damping. The particles are driven individually in such a way that in the uncoupled regime,…

Chaotic Dynamics · Physics 2013-05-27 Colm Mulhern , Dirk Hennig , Andrew D. Burbanks

We consider one-dimensional asymmetric exclusion processes with a simple attractive interaction, where the distance between consecutive particles is not allowed to exceed a certain limit and investigate the consequences of this coupling on…

Disordered Systems and Neural Networks · Physics 2009-11-13 Róbert Juhász

We present a study of exclusion process on a peculiar topology of network with two intersected lanes, competing for the particles in a reservoir with finite capacity. To provide a theoretical ground for our findings, we exploit mean-field…

Statistical Mechanics · Physics 2021-08-04 Akriti Jindal , Arvind Kumar Gupta

We study driven particle systems with excluded volume interactions on a two-lane ladder with periodic boundaries, using Monte Carlo simulation, cluster mean-field theory, and numerical solution of the master equation. Particles in one lane…

Statistical Mechanics · Physics 2009-11-13 Ronald Dickman , Ronaldo R. Vidigal

We study a two-lane two-species exclusion process inspired by Lin et al. (C. Lin et al. J. Stat. Mech., 2011), that exhibits a non-equilibrium pulsing phase. Particles move on two parallel one-dimensional tracks, with one open and one…

Statistical Mechanics · Physics 2017-03-31 Sarah Klein , Cécile Appert-Rolland , Martin R. Evans

We consider binary suspension of rough, circular particles in two dimensions under athermal conditions. The mean density of the system is kept constant. The suspension is subject to a time-independent external drive in response to which one…

Soft Condensed Matter · Physics 2021-03-26 Md. Samsuzzaman , A. Sayeed , Arnab Saha

A class of exclusion processes in which particles perform history-dependent random walks is introduced, stimulated by dynamic phenomena in some biological and artificial systems. The particles locally interact with the underlying substrate…

Biological Physics · Physics 2011-08-15 Johannes H. P. Schulz , Anatoly B. Kolomeisky , Erwin Frey
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