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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

The totally asymmetric simple exclusion principle (TASEP) is a fundamental model in nonequilibrium statistical mechanics. It describes the stochastic unidirectional movement of particles along a 1D chain of ordered sites. We consider the…

最优化与控制 · 数学 2025-01-29 Lars Grüne , Kilian Pioch , Thomas Kriecherbauer , Michael Margaliot

A bottleneck can largely deteriorate the flow, such as a traffic light or an on-ramp at a road. To alleviate bottleneck situations, one of the important strategies is to control the input rate to suit the state of the road. In this study,…

元胞自动机与格子气 · 物理学 2019-03-28 Hiroki Yamamoto , Daichi Yanagisawa , Katsuhiro Nishinari

We study the totally asymmetric simple exclusion process (TASEP) on complex networks, as a paradigmatic model for transport subject to excluded volume interactions. Building on TASEP phenomenology on a single segment and borrowing ideas…

统计力学 · 物理学 2011-08-09 I. Neri , N. Kern , A. Parmeggiani

Motor protein motion on biopolymers can be described by models related to the totally asymmetric simple exclusion process (TASEP). Inspired by experiments on the motion of kinesin-4 motors on antiparallel microtubule overlaps, we analyze a…

生物物理 · 物理学 2016-09-07 Hui-Shun Kuan , Meredith D. Betterton

The jamming transition characterizes athermal systems of particles interacting via finite range repulsive potentials, and occurs on increasing the density when particles cannot avoid making contacts with those of their first coordination…

软凝聚态物质 · 物理学 2012-10-12 M. Pica Ciamarra , P. Sollich

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 consider an extension of the zero-range process to the case where the hop rate depends on the state of both departure and arrival sites. We recover the misanthrope and the target process as special cases for which the probability of the…

统计力学 · 物理学 2014-03-05 M. R. Evans , B. Waclaw

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…

统计力学 · 物理学 2022-04-06 Pierre Bonnin , Ian Stansfield , M. Carmen Romano , Norbert Kern

Dynamical phase transitions are crucial features of the fluctuations of statistical systems, corresponding to boundaries between qualitatively different mechanisms of maintaining unlikely values of dynamical observables over long periods of…

统计力学 · 物理学 2017-06-02 Alexandre Lazarescu

We reconsider the long-standing question of the critical defect hopping rate $r_c$ in the one-dimensional totally asymmetric exclusion process (TASEP) with a slow bond (defect). For $r< r_c$ a phase separated state is observed due to…

统计力学 · 物理学 2015-05-20 Johannes Schmidt , Vladislav Popkov , Andreas Schadschneider

The zero-range process is a stochastic interacting particle system that exhibits a condensation transition under certain conditions on the dynamics. It has recently been found that a small perturbation of a generic class of jump rates leads…

统计力学 · 物理学 2015-03-19 Luis Carlos Garcia del Molino , Paul Chleboun , Stefan Grosskinsky

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

We investigate theoretically the superfluidity of a one-dimensional boson system whose hopping energy is periodically modulated with a zero time average, which results in the suppression of first-order single-particle hopping processes. The…

量子气体 · 物理学 2023-06-08 Jesús Mateos , Charles Creffield , Fernando Sols

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 an important example of a particle system driven by an irreversible Markov chain. In this paper we give a simple yet rigorous derivation of the chain stationary measure in the case…

数学物理 · 物理学 2015-09-30 Benedetto Scoppola , Carlo Lancia , Riccardo Mariani

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…

统计力学 · 物理学 2007-05-23 Stefan Klumpp , Reinhard Lipowsky

We study an asymmetric simple exclusion process in a strip in the presence of a solid impenetrable barrier. We focus on the effect of the barrier on the residence time of the particles, namely, the typical time needed by the particles to…

统计力学 · 物理学 2016-10-19 Emilio N. M. Cirillo , Adrian Muntean , Oleg Krehel , Rutger van Santen

Steady state properties of a driven tracer moving in a narrow two dimensional (2D) channel of quiescent medium are studied. The tracer drives the system out of equilibrium, perturbs the density and pressure fields, and gives the bath…

统计力学 · 物理学 2017-01-11 J. Cividini , D. Mukamel , H. A. Posch

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