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Using the matrix product formalism we formulate a natural p-species generalization of the asymmetric simple exclusion process. In this model particles hop with their own specific rate and fast particles can overtake slow ones with a rate…

Statistical Mechanics · Physics 2016-08-31 V. Karimipour

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

We propose a modification to the study of site-wise dynamically disordered totally asymmetric simple exclusion process (TASEP). Motivated by the process of gene transcription, a study in ref. \cite{waclaw2019totally} introduced an extension…

Statistical Mechanics · Physics 2024-05-13 Nikhil Bhatia , Arvind Kumar Gupta

We study equilibrium fluctuations for a class of totally asymmetric zero-range type interacting particle systems. As a main result, we show that density fluctuation of our process converges to the stationary energy solution of the…

Probability · Mathematics 2022-01-07 Kohei Hayashi

In this article we present a comprehensive study of the totally asymmetric simple exclusion process with pausing particles (pTASEP), a model initially introduced to describe RNAP dynamics during transcription. We extend previous mean-field…

Statistical Mechanics · Physics 2025-07-31 Johannes Keisers , Lorenzo Vito Dal Zovo , Norbert Kern , Luca Ciandrini

We introduce a new rule of motion for a totally asymmetric exclusion process (TASEP) representing pedestrian traffic on a lattice. Its characteristic feature is that the positions of the pedestrians, modeled as hard-core particles, are…

Statistical Mechanics · Physics 2017-09-20 C. Appert-Rolland , J. Cividini , H. J. Hilhorst

The asymmetric exclusion process is an idealised stochastic model of transport, whose exact solution has given important insight into a general theory of nonequilibrium statistical physics. In this work, we consider a totally asymmetric…

Statistical Mechanics · Physics 2018-06-25 Arvind Ayyer , Dipankar Roy

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

We consider the totally asymmetric simple exclusion process (TASEP) with non-random initial condition having density $\rho$ on $\mathbb{Z}_-$ and $\lambda$ on $\mathbb{Z}_+$, and a second class particle initially at the origin. For…

Probability · Mathematics 2018-05-23 Patrik L. Ferrari , Peter Nejjar , Promit Ghosal

We present exact and asymptotic results for clusters in the one-dimensional totally asymmetric exclusion process (TASEP) with two different dynamics. The expected length of the largest cluster is shown to diverge logarithmically with…

Statistical Mechanics · Physics 2009-11-07 O. Pulkkinen , J. Merikoski

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

We consider steady-state current activity statistics for the one-dimensional totally asymmetric simple exclusion process (TASEP). With the help of the known operator algebra (for general open boundary conditions), as well as general…

Statistical Mechanics · Physics 2012-04-12 R. B. Stinchcombe , S. L. A. de Queiroz

In the multi-type totally asymmetric simple exclusion process (TASEP) on the line, each site of Z is occupied by a particle labeled with some number, and two neighboring particles are interchanged at rate one if their labels are in…

Probability · Mathematics 2012-11-16 Gideon Amir , Omer Angel , Benedek Valkó

The totally asymmetric simple exclusion process in discrete time is considered on finite rings with fixed number of particles. A translation-invariant version of the backward-ordered sequential update is defined for periodic boundary…

Soft Condensed Matter · Physics 2007-05-23 J. G. Brankov , Vl. V. Papoyan , V. S. Poghosyan , V. B. Priezzhev

The large deviation properties of equilibrium (reversible) lattice gases are mathematically reasonably well understood. Much less is known in non--equilibrium, namely for non reversible systems. In this paper we consider a simple example of…

Statistical Mechanics · Physics 2015-12-18 L. Bertini , A. De Sole , D. Gabrielli , G. Jona-Lasinio , C. Landim

We study the totally asymmetric exclusion process (TASEP) on a finite one-dimensional lattice with open boundaries, i.e., in contact with two reservoirs at different potentials. The total (time-integrated) current through the system is a…

Statistical Mechanics · Physics 2011-09-16 Alexandre Lazarescu , Kirone Mallick

We consider the one-dimensional totally asymmetric simple exclusion process (TASEP) with position-dependent hopping rates. The problem is solved,in a mean field/adiabatic approximation, for a general (smooth) form of spatial rate variation.…

Statistical Mechanics · Physics 2011-06-15 R. B. Stinchcombe , S. L. A. de Queiroz

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…

Statistical Mechanics · Physics 2009-11-13 K. Tsekouras , A. B. Kolomeisky

We investigate the non-equilibrium steady state of a one-dimensional (1D) lattice gas of dimers. The dynamics is described by a totally asymmetric exclusion process (TASEP) supplemented by attachment and detachment processes, mimicking…

Statistical Mechanics · Physics 2007-05-23 P. Pierobon , T. Franosch , E. Frey

The one-dimensional totally asymmetric simple exclusion process (TASEP) is considered. We study the time evolution property of a tagged particle in TASEP with the step-type initial condition. Calculated is the multi-time joint distribution…

Mathematical Physics · Physics 2007-08-18 T. Imamura , T. Sasamoto
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