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The totally asymmetric simple exclusion process (TASEP) is a basic model of statistical mechanics that has found numerous applications. We consider the case of TASEP with a finite chain where particles may enter from the left and leave to…

动力系统 · 数学 2020-06-23 Lars Grüne , Thomas Kriecherbauer , Michael Margaliot

The Totally Asymmetric Simple Exclusion Process (TASEP) is a paradigm of out-of-equilibrium Statistical Physics that serves as a simplistic model for one-way vehicular traffic. Since traffic is perturbed by cars cruising for parking in many…

统计力学 · 物理学 2023-09-25 Valentin Anfray , Alexandre Nicolas

We consider the one-dimensional totally asymmetric simple exclusion process (TASEP) with position-dependent hopping rates. The problem is solved,in a mean field/adiabatic approximation, for a general (smooth) form of spatial rate variation.…

统计力学 · 物理学 2011-06-15 R. B. Stinchcombe , S. L. A. de Queiroz

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

We formulate and analyze the steady-state behavior of totally asymmetric simple exclusion processes (TASEPs) that contain periodically varying movement rates. In our models, particles at a majority sites hop to the right with rate $p_1$…

统计力学 · 物理学 2007-05-23 Greg Lakatos , Tom Chou , Anatoly Kolomeisky

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

动力系统 · 数学 2026-04-20 Kilian Pioch , Lars Grüne , Thomas Kriecherbauer , Michael Margaliot

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…

统计力学 · 物理学 2024-08-01 Kilian Pioch , Thomas Kriecherbauer , Michael Margaliot , Lars Grüne

The asymmetric simple exclusion process (ASEP) is an important model from statistical physics describing particles that hop randomly from one site to the next along an ordered lattice of sites, but only if the next site is empty. ASEP has…

经典分析与常微分方程 · 数学 2014-06-30 Michael Margaliot , Alon Raveh , Yoram Zarai

The discrete-time version of totally asymmetric simple-exclusion process (TASEP) on a finite one-dimensional lattice is studied with the periodic boundary condition. Each particle at a site hops to the next site with probability $0 \leq p…

统计力学 · 物理学 2011-11-03 Yasuyuki Yamada , Makoto Katori

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

The TASEP is a paradigmatic model from non-equilibrium statistical physics, which describes particles hopping along a lattice of discrete sites. The TASEP is applicable to a broad range of different transport systems, but does not consider…

统计力学 · 物理学 2012-03-20 Chris A. Brackley , Luca Ciandrini , M. Carmen Romano

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

Smooth transportation has drawn the attention of many researchers and practitioners in several fields. In the present paper, we propose a modified model of a totally asymmetric simple exclusion process (TASEP), which includes multiple…

元胞自动机与格子气 · 物理学 2019-10-16 Hiroki Yamamoto , Daichi Yanagisawa , Katsuhiro Nishinari

The totally asymmetric simple exclusion process (TASEP) is a well studied example of far-from-equilibrium dynamics. Here, we consider a TASEP with open boundaries but impose a global constraint on the total number of particles. In other…

统计力学 · 物理学 2008-07-02 D. A. Adams , B. Schmittmann , R. K. P. Zia

The totally asymmetric simple exclusion process (TASEP) is a paradigmatic lattice model for one-dimensional particle transport subject to excluded-volume interactions. Solving the inhomogeneous TASEP in which particles' hopping rates vary…

统计力学 · 物理学 2023-10-31 Luca Ciandrini , Richmond L. Crisostomo , Juraj Szavits-Nossan

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

We consider an interacting particle system, which generalizes the classical totally asymmetric simple exclusion process (TASEP), in that each site can contain up to a fixed finite number of particles, and the particle movement is governed…

概率论 · 数学 2026-03-17 Yuliy Baryshnikov , Alexander Stolyar

We introduce a model of a totally asymmetric simple exclusion process (TASEP) on a tree network where the aggregate hopping rate is constant from level to level. With this choice for hopping rates the model shows the same phase diagram as…

统计力学 · 物理学 2013-11-12 Peter Mottishaw , Bartlomiej Waclaw , Martin R. Evans

The steady-state currents and densities of a one-dimensional totally asymmetric exclusion process (TASEP) with particles that occlude an integer number ($d$) of lattice sites are computed using various mean field approximations and Monte…

统计力学 · 物理学 2007-05-23 G. W. Lakatos , T. Chou

The one-dimensional totally asymmetric simple exclusion process (TASEP), a Markov process describing classical hard-core particles hopping in the same direction, is considered on a periodic lattice of $L$ sites. The relaxation to the…

统计力学 · 物理学 2016-03-09 Sylvain Prolhac
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