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相关论文: Asymmetric simple exclusion processes with diffusi…

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We study the traffic of two types of molecular motors using the two-species symmetric simple exclusion process (ASEP) with periodic boundary conditions and with attachment and detachment of particles. We determine characteristic properties…

生物物理 · 物理学 2009-11-26 Yan Chai , Stefan Klumpp , Melanie J. I. Muller , Reinhard Lipowsky

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

We explore the stationary densities in totally asymmetric exclusion processes (TASEP) with open boundary conditions and spatially inhomogeneous hopping rates. We calculate the steady state density profiles that characterise the associated…

统计力学 · 物理学 2024-10-31 Sudip Mukherjee , Abhik basu

We study the generic non-equilibrium steady states in asymmetric exclusion processes on a closed network with bottlenecks. To this end we proposes and study closed simple networks with multiply-connected non-identical junctions. Depending…

统计力学 · 物理学 2015-01-13 Rakesh Chatterjee , Anjan Kumar Chandra , Abhik Basu

Introduced in the late 1960's, the asymmetric exclusion process (ASEP) is an important model from statistical mechanics which describes a system of interacting particles hopping left and right on a one-dimensional lattice of n sites with…

组合数学 · 数学 2022-04-27 Sylvie Corteel , Lauren Williams

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

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 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

A multi-species generalization of the asymmetric simple exclusion process (ASEP) is studied in ordered sequential and sub-lattice parallel updating schemes. In this model particles hop with their own specific probabilities to their…

统计力学 · 物理学 2009-10-31 M. E. Fouladvand , F. Jafarpour

The asymmetric exclusion process (ASEP) has attracted a lot of interest not only because its many applications, e.g. in the context of the kinetics of biopolymerization and traffic flow theory, but also because it is a paradigmatic model…

统计力学 · 物理学 2007-05-23 N. Rajewsky , L. Santen , A. Schadschneider , M. Schreckenberg

The asymmetric simple exclusion process (ASEP) on a one-dimensional lattice is a system of particles which jump at rates $p$ and $1-p$ (here $p>1/2$) to adjacent empty sites on their right and left respectively. The system is described on…

凝聚态物理 · 物理学 2009-10-30 B. Derrida , J. L. Lebowitz , E. R. Speer

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…

定量方法 · 定量生物学 2015-08-18 Alon Raveh , Yoram Zarai , Michael Margaliot , Tamir Tuller

The relation between noise and Fick's diffusion coefficient in barrier limited transport associated with hopping or tunneling mechanisms of particles obeying the asymmetric simple exclusion processes (ASEP) is physically assessed by Monte…

统计力学 · 物理学 2009-11-11 M. Rosini , L. Reggiani

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 consider the asymmetric simple exclusion process (TASEP) on open network consisting of three consecutively coupled macroscopic chain segments with a shortcut between the tail of the first segment and the head of the third one. The model…

生物物理 · 物理学 2015-06-18 Nadezhda Bunzarova , Nina Pesheva , Jordan Brankov

We consider the facilitated exclusion process, an interacting particle system on the integer line where particles hop to one of their left or right neighbouring site only when the other neighbouring site is occupied by a particle. A…

概率论 · 数学 2025-02-04 Guillaume Barraquand , Oriane Blondel , Marielle Simon

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

The behaviour of extended particles with exclusion interaction on a one-dimensional lattice is investigated. The basic model is called $\ell$-ASEP as a generalization of the asymmetric exclusion process (ASEP) to particles of arbitrary…

统计力学 · 物理学 2015-06-24 G. Schoenherr , G. M. Schuetz

Multi-particle dynamics in one-dimensional asymmetric exclusion processes with disorder is investigated theoretically by computational and analytical methods. It is argued that the general phase diagram consists of three non-equilibrium…

统计力学 · 物理学 2009-11-13 M. Ebrahim Foulaadvand , Anatoly Kolomeisky , Hamid Teymouri

As one of the paradigmatic models of non-equilibrium systems, the asymmetric simple exclusion process (ASEP) has been widely used to study many physical, chemical, and biological systems. The ASEP shows a range of nontrivial macroscopic…

统计力学 · 物理学 2016-05-09 Bo Tian , Rui Jiang , Mao-Bin Hu , Bin Jia