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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…

Statistical Mechanics · Physics 2023-10-31 Luca Ciandrini , Richmond L. Crisostomo , Juraj Szavits-Nossan

We study a model of aggregation and fragmentation of clusters of particles on an open segment of a single-lane road. The particles and clusters obey the stochastic discrete-time discrete-space kinetics of the Totally Asymmetric Simple…

Statistical Mechanics · Physics 2020-01-08 N. C. Pesheva , N. Zh. Bunzarova

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

The one-dimensional asymmetric simple exclusion process (ASEP), where $N$ hard-core particles hop forward with rate $1$ and backward with rate $q<1$, is considered on a periodic lattice of $L$ site. Using KPZ universality and previous…

Statistical Mechanics · Physics 2016-10-19 Sylvain Prolhac

Exclusion processes in one dimension first appeared in the 70s and have since dragged much attention from communities in different domains: stochastic processes, out-of-equilibriums statistical physics, and more recently integrable systems.…

Statistical Mechanics · Physics 2023-01-11 Ali Zahra

We study an open-chain totally asymmetric exclusion process (TASEP) with stochastic gates present at the two boundaries. The gating dynamics has been modeled keeping the physical system of ion-channel gating in mind. These gates can…

Statistical Mechanics · Physics 2014-10-16 Mithun Kumar Mitra , Sakuntala Chatterjee

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…

Statistical Mechanics · Physics 2023-11-27 Atri Goswami , Utsa Dey , Sudip Mukherjee

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…

Statistical Mechanics · Physics 2023-09-25 Valentin Anfray , Alexandre Nicolas

We explore how the interplay of finite availability, carrying capacity of particles at different parts of a spatially extended system and particle diffusion between them control the steady state currents and density profiles in a…

Statistical Mechanics · Physics 2024-12-04 Sourav Pal , Parna Roy , Abhik Basu

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…

Cellular Automata and Lattice Gases · Physics 2019-10-16 Hiroki Yamamoto , Daichi Yanagisawa , Katsuhiro Nishinari

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

The asymmetric simple exclusion process (ASEP) is a paradigm for non-equilibrium physics that appears as a building block to model various low-dimensional transport phenomena, ranging from intracellular traffic to quantum dots. We review…

Statistical Mechanics · Physics 2015-05-27 Kirone Mallick

Fundamental biological processes such as transcription and translation, where a genetic sequence is sequentially read by a macromolecule, have been well described by a classical model of non-equilibrium statistical physics, the totally…

Quantitative Methods · Quantitative Biology 2019-08-15 Jingkui Wang , Benjamin Pfeuty , Quentin Thommen , Carmen Romano , Marc Lefranc

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…

Statistical Mechanics · Physics 2010-01-04 J. Szavits-Nossan , K. Uzelac

The weakly asymmetric exclusion process (WASEP) in one dimension is a paradigmatic system of interacting particles described by the macroscopic fluctuation theory (MFT) in the presence of driving. We consider an initial condition with…

Statistical Mechanics · Physics 2025-05-20 Alexandre Krajenbrink , Pierre Le Doussal

We study the nonequilibrium steady states of an asymmetric exclusion process (TASEP) coupled to a reservoir of unlimited capacity. We elucidate how the steady states are controlled by the interplay between the reservoir population that…

Statistical Mechanics · Physics 2021-09-15 Astik Haldar , Parna Roy , Abhik Basu

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…

Statistical Mechanics · Physics 2011-08-09 I. Neri , N. Kern , A. Parmeggiani

In this paper we consider a model of particles jumping on a row of cells, called in physics the one dimensional totally asymmetric exclusion process (TASEP). More precisely we deal with the TASEP with open or periodic boundary conditions…

Combinatorics · Mathematics 2007-05-23 Enrica Duchi , Gilles Schaeffer

We consider a family of totally asymmetric simple exclusion processes (TASEPs), consisting of particles on a lattice that require binding by a "token" in various physical configurations to advance over the lattice. Using a combination of…

Statistical Mechanics · Physics 2025-02-11 Bor Kavčič , Gašper Tkačik

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…

Optimization and Control · Mathematics 2025-01-29 Lars Grüne , Kilian Pioch , Thomas Kriecherbauer , Michael Margaliot