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We investigate the effects of disorder on driven lattice gases with open boundaries using the totally asymmetric simple exclusion process as a paradigmatic example. Disorder is realized by randomly distributed defect sites with reduced…

Statistical Mechanics · Physics 2009-11-13 Philip Greulich , Andreas Schadschneider

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…

Statistical Mechanics · Physics 2016-03-09 Sylvain Prolhac

In a recent study [C Arita, Phys. Rev. E 80, 051119 (2009)], an extension of the M/M/1 queueing process with the excluded-volume effect as in the totally asymmetric simple exclusion process (TASEP) was introduced. In this paper, we consider…

Physics and Society · Physics 2014-09-18 Chikashi Arita , Daichi Yanagisawa

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…

Biological Physics · Physics 2016-09-07 Hui-Shun Kuan , Meredith D. Betterton

Exclusive diffusion on a one-dimensional lattice is studied. In the model particles hop stochastically into both directions with different rates. At the ends of the lattice particles are injected and removed. The exact stationary…

Condensed Matter · Physics 2009-10-22 Sven Sandow

We study the flux of totally asymmetric simple exclusion processes (TASEPs) on a twin co-axial square tracks. In this biologically motivated model the particles in each track act as mobile bottlenecks against the movement of the particles…

Statistical Mechanics · Physics 2017-05-30 Sumit Sinha , Debashish Chowdhury

The totally asymmetric simple exclusion process with generalized update is a version of the discrete time totally asymmetric exclusion process with an additional inter-particle interaction that controls the degree of particle clustering.…

Statistical Mechanics · Physics 2024-03-21 Nadezhda Zh Bunzarova , Nina C Pesheva , Alexander M Povolotsky

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

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…

Statistical Mechanics · Physics 2022-04-06 Pierre Bonnin , Ian Stansfield , M. Carmen Romano , Norbert Kern

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…

Biological Physics · Physics 2015-06-18 Nadezhda Bunzarova , Nina Pesheva , Jordan Brankov

Totally asymmetric exclusion processes (TASEP) with open boundaries are known to exhibit moving shocks or delocalised domain walls (DDW) for sufficiently small equal injection and extraction rates. In contrast TASEPs in an inhomogeneous…

Statistical Mechanics · Physics 2020-07-06 Parna Roy , Anjan Kumar Chandra , Abhik Basu

We revisit the slow-bond (SB) problem of the one-dimensional (1D) totally asymmetric simple exclusion process (TASEP) with modified hopping rates. In the original SB problem, it turns out that a local defect is always relevant to the system…

Statistical Mechanics · Physics 2018-03-20 Hyungjoon Soh , Meesoon Ha , Hawoong Jeong

The one-dimensional totally asymmetric simple exclusion process (TASEP) with $N$ particles on a periodic lattice of $L$ sites is an interacting particle system with hopping rates breaking detailed balance. The total time-integrated current…

Statistical Mechanics · Physics 2015-12-01 Sylvain Prolhac

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

Totally asymmetric simple exclusion process (TASEP) was originally introduced as a model for the traffic-like collective movement of ribosomes on a messenger RNA (mRNA) that serves as the track for the motor-like forward stepping of…

Statistical Mechanics · Physics 2019-08-14 Bhavya Mishra , Debashish Chowdhury

We obtain the exact solution of the facilitated totally asymmetric simple exclusion process (F-TASEP) in 1D. The model is closely related to the conserved lattice gas (CLG) model and to some cellular automaton traffic models. In the F-TASEP…

Statistical Mechanics · Physics 2020-06-18 S. Goldstein , J. L. Lebowitz , E. R. Speer

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 introduce an extension of the M/M/1 queueing process with a spatial structure and excluded- volume effect. The rule of particle hopping is the same as for the totally asymmetric simple exclusion process (TASEP). A stationary-state…

Statistical Mechanics · Physics 2014-09-18 Chikashi Arita

We consider the dynamics of a single shock in a partially asymmetric simple exclusion process (PASEP) on a finite lattice with open boundaries in the sublattice-parallel updating scheme. We then construct the steady state of the system by…

Statistical Mechanics · Physics 2016-05-16 S. R. Masharian , F. Zamani

We describe the translation invariant stationary states of the one dimensional discrete-time facilitated totally asymmetric simple exclusion process (F-TASEP). In this system a particle at site $j$ in $Z$ jumps, at integer times, to site…

Mathematical Physics · Physics 2020-06-18 S. Goldstein , J. L. Lebowitz , E. R. Speer