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We study the boundary-driven asymmetric simple exclusion process (ASEP) in a one-dimensional chain with long-range links. Shortcuts are added to a chain by connecting $pL$ different pairs of sites selected randomly where $L$ and $p$ denote…

Statistical Mechanics · Physics 2011-05-24 Mina Kim , Ludger Santen , Jae Dong Noh

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

The multispecies asymmetric simple exclusion process (mASEP) is a Markov chain in which particles of different species hop along a one-dimensional lattice. This paper studies the doubly asymmetric simple exclusion process…

Combinatorics · Mathematics 2024-03-12 Yuhan Jiang

We extend the paradigmatic and versatile TASEP (Totally Asymmetric Simple Exclusion Process) for stochastic 1d transport to allow for two different particle species, each having specific entry and exit rates. We offer a complete mean-field…

Statistical Mechanics · Physics 2022-04-06 Pierre Bonnin , Ian Stansfield , M. Carmen Romano , Norbert Kern

We obtain the large deviation functional of a density profile for the asymmetric exclusion process of L sites with open boundary conditions when the asymmetry scales like 1/L. We recover as limiting cases the expressions derived recently…

Statistical Mechanics · Physics 2015-06-24 B. Derrida , C. Enaud

A multi-species generalization of the asymmetric simple exclusion process (ASEP) is studied in ordered sequential and sub-lattice parallel updating schemes. In this model particles hop with their own specific probabilities to their…

Statistical Mechanics · Physics 2009-10-31 M. E. Fouladvand , F. Jafarpour

We propose an extension of the totally asymmetric simple exclusion process (TASEP) in which particles hopping along a lattice can be blocked by obstacles that dynamically attach/detach from lattice sites. The model can be thought as TASEP…

Statistical Mechanics · Physics 2019-02-20 Bartlomiej Waclaw , Justyna Cholewa-Waclaw , Philip Greulich

One-dimensional asymmetric simple exclusion processes (ASEPs) which are coupled to external reservoirs via diffusive transport are studied. These ASEPs consist of active compartments characterized by directed movements of the particles and…

Statistical Mechanics · Physics 2007-05-23 Stefan Klumpp , Reinhard Lipowsky

We study a one-dimensional totally asymmetric simple exclusion process with one special site from which particles fly to any empty site (not just to the neighboring site). The system attains a non-trivial stationary state with density…

Statistical Mechanics · Physics 2013-10-15 Chikashi Arita , Jérémie Bouttier , P. L. Krapivsky , Kirone Mallick

We introduce the multispecies totally asymmetric simple exclusion process (mTASEP) with long-range swap, a new interacting particle system combining the backward-push rule with the forward-jump rule. Although governed by local dynamics, the…

Mathematical Physics · Physics 2025-09-03 Eunghyun Lee

In this paper, we investigate the dynamics of synchronous totally asymmetric exclusion processes on lattices with a multiple-input single-output (MISO) junction, which consists of m subchains for the input and one main chain for the output.…

Biological Physics · Physics 2009-11-13 Ruili Wang , Mingzhe Liu , Rui Jiang

In this paper, we show how a fixed point based boundary layer analysis can be used to understand phases and phase transitions in asymmetric simple exclusion processes (ASEPs) with open boundaries. In order to illustrate this method, we…

Statistical Mechanics · Physics 2015-05-13 Sutapa Mukherji

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 study a one-dimensional totally asymmetric exclusion process with random particle attachments and detachments in the bulk. The resulting dynamics leads to unexpected stationary regimes for large but finite systems. Such regimes are…

Statistical Mechanics · Physics 2007-05-23 A. Parmeggiani , T. Franosch , E. Frey

The totally asymmetric simple exclusion process (TASEP) is a stochastic model for the unidirectional dynamics of interacting particles on a $1$D-lattice that is much used in systems biology and statistical physics. Its master equation…

Statistical Mechanics · Physics 2024-08-01 Kilian Pioch , Thomas Kriecherbauer , Michael Margaliot , Lars Grüne

The asymmetric simple exclusion process (ASEP) is a paradigmatic nonequilibrium many-body system that describes the asymmetric random walk of particles with exclusion interactions in a lattice. Although the ASEP is recognized as an exactly…

Statistical Mechanics · Physics 2024-03-05 Yuki Ishiguro , Jun Sato

Theoretical advances in the study of non-equilibrium phenomena are briefly reviewed with emphasis on steady state properties of one-dimensional driven lattice gases. The presentation is focused on the totally asymmetric simple-exclusion…

Statistical Mechanics · Physics 2008-03-19 J. G. Brankov , N. C. Pesheva , N. Zh. Bunzarova

We study the nonequilibrium steady states in totally asymmetric exclusion processes (TASEP) with open boundary conditions having spatially inhomogeneous hopping rates. Considering smoothly varying hopping rates, we show that the steady…

Statistical Mechanics · Physics 2023-01-03 Atri Goswami , Mainak Chatterjee , Sudip Mukherjee

We consider the totally asymmetric exclusion process (TASEP) in one dimension in its maximal current phase. We show, by an exact calculation, that the non-Gaussian part of the fluctuations of density can be described in terms of the…

Statistical Mechanics · Physics 2009-11-10 B. Derrida , C. Enaud , J. L. Lebowitz

We construct a one-dimensional totally asymmetric simple exclusion process (TASEP) on a ring with two segments having unequal hopping rates, coupled to particle non-conserving Langmuir kinetics (LK) characterized by equal attachment and…

Statistical Mechanics · Physics 2015-08-19 Tirthankar Banerjee , Anjan Kumar Chandra , Abhik Basu