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We study a one-dimensional totally asymmetric simple exclusion process with one special site from which particles fly to any empty site (not just to the neighboring site). The system attains a non-trivial stationary state with density…

Statistical Mechanics · Physics 2013-10-15 Chikashi Arita , Jérémie Bouttier , P. L. Krapivsky , Kirone Mallick

Simple exclusion processes for particles moving along two parallel lattices and jumping between them are theoretically investigated for asymmetric rates of transition between the channels. An approximate theoretical approach, that describes…

Statistical Mechanics · Physics 2009-11-11 Ekaterina Pronina , Anatoly B. Kolomeisky

Totally asymmetric simple exclusion processes, consisting of two coupled parallel lattice chains with particles interacting with hard-core exclusion and moving along the channels and between them, are considered. In the limit of strong…

Statistical Mechanics · Physics 2009-11-10 Ekaterina Pronina , Anatoly B. Kolomeisky

We study an open system composed of two parallel totally asymmetric simple exclusion processes with particle attachment and detachment in the bulk. The particles are allowed to change their lane from lane-A to lane-B, but not conversely. We…

Statistical Mechanics · Physics 2015-06-17 Arvind Kumar Gupta , Isha Dhiman

We present a study of exclusion process on a peculiar topology of network with two intersected lanes, competing for the particles in a reservoir with finite capacity. To provide a theoretical ground for our findings, we exploit mean-field…

Statistical Mechanics · Physics 2021-08-04 Akriti Jindal , Arvind Kumar Gupta

We study the large space and time scale behavior of a totally asymmetric, nearest-neighbor exclusion process in one dimension with random jump rates attached to the particles. When slow particles are sufficiently rare the system has a phase…

Probability · Mathematics 2007-05-23 Ilie Grigorescu , Min Kang , Timo Seppalainen

A two-lane exclusion process is studied where particles move in the two lanes in opposite directions and are able to change lanes. The focus is on the steady state behavior in situations where a positive current is constrained to an…

Statistical Mechanics · Physics 2015-05-14 Róbert Juhász

Multi-particle non-equilibrium dynamics in two-channel asymmetric exclusion processes with narrow entrances is investigated theoretically. Particles move on two parallel lattices in opposite directions without changing them, while the…

Statistical Mechanics · Physics 2015-06-25 Ekaterina Pronina , Anatoly B. Kolomeisky

Asymmetric exclusion processes for particles moving on parallel channels with inhomogeneous coupling are investigated theoretically. Particles interact with hard-core exclusion and move in the same direction on both lattices, while…

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

The totally asymmetric simple exclusion process along with particle adsorption and evaporation kinetics is a model of boundary-induced nonequilibrium phase transition. In the continuum limit, the average particle density across the system…

Statistical Mechanics · Physics 2018-04-25 Sutapa Mukherji , Somendra M. Bhattacharjee

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

Totally asymmetric simple exclusion processes on lattices with junctions, where particles interact with hard-core exclusion and move on parallel lattice branches that at the junction combine into a single lattice segment, are investigated.…

Statistical Mechanics · Physics 2009-11-11 Ekaterina Pronina , Anatoly B. Kolomeisky

We study a two-lane two-species exclusion process inspired by Lin et al. (C. Lin et al. J. Stat. Mech., 2011), that exhibits a non-equilibrium pulsing phase. Particles move on two parallel one-dimensional tracks, with one open and one…

Statistical Mechanics · Physics 2017-03-31 Sarah Klein , Cécile Appert-Rolland , Martin R. Evans

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

In this paper, we study shocks and related transitions in asymmetric simple exclusion processes of particles with nearest neighbor interactions. We consider two kinds of inter-particle interactions. In one case, the particle-hole symmetry…

Statistical Mechanics · Physics 2009-11-13 Sutapa Mukherji

We study a driven many particle system comprising of two identical lanes of finite lengths. On one lane, particles hop diffusively with a bias in a specific direction. On the other lane, particles hop in a specific direction obeying mutual…

Statistical Mechanics · Physics 2015-06-03 Bappa Saha , Sutapa Mukherji

It has been recently suggested that a totally asymmetric exclusion process with two species on an open chain could exhibit spontaneous symmetry breaking in some range of the parameters defining its dynamics. The symmetry breaking is…

Condensed Matter · Physics 2009-10-28 C. Godreche , J. M. Luck , M. R. Evans , D. Mukamel , S. Sandow , E. R. Speer

We present a numerical study of a two-lane version of the stochastic non-equilibrium model known as the totally asymmetric simple exclusion process. For such a system with open boundaries, and suitably chosen values of externally-imposed…

Statistical Mechanics · Physics 2019-07-31 S. L. A. de Queiroz , R. B. Stinchcombe

Multi-lane totally asymmetric simple exclusion processes with interactions between the lanes have recently been investigated actively. This paper proposes a two-lane model with extended Langmuir kinetics on a periodic lattice. Both…

Cellular Automata and Lattice Gases · Physics 2022-02-09 Hiroki Yamamoto , Shingo Ichiki , Daichi Yanagisawa , Katsuhiro Nishinari

The misanthrope process is a class of stochastic interacting particle systems, generalizing the simple exclusion process. It allows each site of the lattice to accommodate more than one particle. We consider a special case of the one…

Cellular Automata and Lattice Gases · Physics 2016-07-29 Chikashi Arita , Chihiro Matsui
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