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We address how the interplay between the finite availability and carrying capacity of particles at different parts of a spatially extended system can control the steady state currents and density profiles in the one-dimensional…

统计力学 · 物理学 2024-08-05 Astik Haldar , Parna Roy , Erwin Frey , Abhik Basu

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…

统计力学 · 物理学 2024-12-04 Sourav Pal , Parna Roy , Abhik Basu

Using Monte Carlo simulations and a domain wall theory, we discuss the effect of coupling several totally asymmetric simple exclusion processes (TASEPs) to a finite reservoir of particles. This simple model mimics directed biological…

统计力学 · 物理学 2009-11-25 L. Jonathan Cook , R. K. P. Zia , B. Schmittmann

We revisit a totally asymmetric simple exclusion process (TASEP) with open boundaries and a global constraint on the total number of particles [Adams, et. al. 2008 J. Stat. Mech. P06009]. In this model, the entry rate of particles into the…

统计力学 · 物理学 2009-08-30 L. Jonathan Cook , R. K. P. Zia

We propose and study a conceptual one-dimensional model to explore how the combined interplay between fixed resources and particle exchanges between different parts of an extended system can affect the stationary densities in a current…

统计力学 · 物理学 2025-02-10 Sourav Pal , Parna Roy , Abhik Basu

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

We consider a finite one-dimensional totally asymmetric simple exclusion process (TASEP) with four types of particles, $\{1,0,\bar{1},*\}$, in contact with reservoirs. Particles of species $0$ can neither enter nor exit the lattice, and…

统计力学 · 物理学 2019-11-11 Erik Aas , Arvind Ayyer , Svante Linusson , Samu Potka

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 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

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…

统计力学 · 物理学 2025-02-11 Bor Kavčič , Gašper Tkačik

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

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…

统计力学 · 物理学 2008-03-19 J. G. Brankov , N. C. Pesheva , N. Zh. Bunzarova

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

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 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

A discrete-time totally asymmetric simple exclusion process on a lattice with open boundaries is considered. There are particles of different types. The type of a particle is characterized by the probability that a particle moves to a…

统计力学 · 物理学 2025-11-04 Marina V. Yashina , Alexander G. Tatashev

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…

定量方法 · 定量生物学 2019-08-15 Jingkui Wang , Benjamin Pfeuty , Quentin Thommen , Carmen Romano , Marc Lefranc

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…

统计力学 · 物理学 2021-09-15 Astik Haldar , 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…

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

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
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