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We present new results for the current as a function of transmission rate in the one dimensional totally asymmetric simple exclusion process (TASEP) with a blockage that lowers the jump rate at one site from one to r < 1. Exact finite…

comp-gas · 物理学 2016-08-31 Steven A. Janowsky , Joel L. Lebowitz

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…

统计力学 · 物理学 2019-02-20 Bartlomiej Waclaw , Justyna Cholewa-Waclaw , Philip Greulich

Generalization of the one-dimensional totally asymmetric exclusion process (TASEP) with open boundary conditions in which particles are allowed to jump $l$ sites ahead with the probability $p_l\sim 1/l^{\sigma+1}$ is studied by Monte Carlo…

统计力学 · 物理学 2007-05-23 J. Szavits-Nossan , K. Uzelac

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…

统计力学 · 物理学 2023-01-03 Atri Goswami , Mainak Chatterjee , Sudip Mukherjee

We study the totally asymmetric simple exclusion process (TASEP) on $\mathbb{Z}$ with a general initial condition and a deterministically moving wall in front of the particles. Using colour-position symmetry, we express the one-point…

概率论 · 数学 2025-09-24 Sabrina Gernholt

The asymmetric simple exclusion process (ASEP) is a paradigmatic driven-diffusive system that describes the asymmetric diffusion of particles with hardcore interactions in a lattice. Although the ASEP is known as an exactly solvable model,…

统计力学 · 物理学 2024-05-16 Yuki Ishiguro , Jun Sato

The TASEP (totally asymmetric simple exclusion process) is a basic model for an one-dimensional interacting particle system with non-reversible dynamics. Despite the simplicity of the model it shows a very rich and interesting behaviour. In…

概率论 · 数学 2010-03-30 James Martin , Philipp Schmidt

A system consisting of two parallel coupled channels where particles in one of them follow the rules of totally asymmetric exclusion processes (TASEP) and in another one move as in symmetric simple exclusion processes (SSEP) is investigated…

统计力学 · 物理学 2009-11-13 K. Tsekouras , A. B. Kolomeisky

We study a continuous-space version of the totally asymmetric simple exclusion process (TASEP), consisting of interacting Brownian particles subject to a driving force in a periodic external potential. Particles are inserted at the leftmost…

统计力学 · 物理学 2010-02-02 Jose Eduardo de Oliveira Rodrigues , Ronald Dickman

Totally asymmetric simple exclusion processes (TASEP) with particles which occupy more than one lattice site and with a local inhomogeneity far away from the boundaries are investigated. These non-equilibrium processes are relevant for the…

统计力学 · 物理学 2009-11-10 Leah B. Shaw , Anatoly B. Kolomeisky , Kelvin H. Lee

We propose and study a one-dimensional (1D) model consisting of two lanes with open boundaries. One of the lanes executes diffusive and the other lane driven unidirectional or asymmetric exclusion dynamics, which are mutually coupled…

统计力学 · 物理学 2023-11-27 Atri Goswami , Utsa Dey , Sudip Mukherjee

We study asymmetric exclusion processes (TASEP) on a nonuniform one-dimensional ring consisting of two segments having unequal hopping rates, or {\em defects}. We allow weak particle nonconservation via Langmuir kinetics (LK), that are…

统计力学 · 物理学 2017-01-12 Bijoy Daga , Souvik Mondal , Anjan Kumar Chandra , Tirthankar Banerjee , Abhik Basu

We introduce a new rule of motion for a totally asymmetric exclusion process (TASEP) representing pedestrian traffic on a lattice. Its characteristic feature is that the positions of the pedestrians, modeled as hard-core particles, are…

统计力学 · 物理学 2017-09-20 C. Appert-Rolland , J. Cividini , H. J. Hilhorst

The one-dimensional totally asymmetric simple exclusion process (TASEP) with $N$ particles on a periodic lattice of $L$ sites is an interacting particle system with hopping rates breaking detailed balance. The total time-integrated current…

统计力学 · 物理学 2015-12-01 Sylvain Prolhac

The process of protein synthesis in biological systems resembles a one dimensional driven lattice gas in which the particles have spatial extent, covering more than one lattice site. We expand the well studied Totally Asymmetric Exclusion…

统计力学 · 物理学 2009-11-10 Leah B. Shaw , R. K. P. Zia , Kelvin H. Lee

We investigate the structure of the nonequilibrium stationary state (NESS) of a system of first and second class particles, as well as vacancies (holes), on L sites of a one-dimensional lattice in contact with first class particle…

统计力学 · 物理学 2020-06-16 Arvind Ayyer , Joel L. Lebowitz , Eugene R. Speer

Properties of the one-dimensional totally asymmetric simple exclusion process (TASEP), and their connection with the dynamical scaling of moving interfaces described by a Kardar-Parisi-Zhang (KPZ) equation are investigated. With periodic…

统计力学 · 物理学 2008-09-04 S. L. A. de Queiroz , R. B. Stinchcombe

We consider the totally asymmetric simple exclusion process (TASEP) on the periodic chain in the presence of a single impurity site that is inaccessible to other particles and therefore acts as a static defect. Particles are allowed to…

统计力学 · 物理学 2010-01-04 J. Szavits-Nossan , K. Uzelac

The generalized totally asymmetric exclusion process (TASEP) [J. Stat. Mech. P05014 (2012)] is an integrable generalization of the TASEP equipped with an interaction, which enhances the clustering of particles. The process interpolates…

数学物理 · 物理学 2015-02-24 A. E. Derbyshev , A. M. Povolotsky , V. B. Priezzhev

The TASEP is a paradigmatic model of out-of-equilibrium statistical physics, for which many quantities have been computed, either exactly or by approximate methods. In this work we study two new kinds of observables that have some relevance…

统计力学 · 物理学 2017-09-20 Julien Cividini , Cécile Appert-Rolland