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We consider a multi-species generalization of the Asymmetric Simple Exclusion Process on an open chain, in which particles hop with their characteristic hopping rates and fast particles can overtake slow ones. The number of species is…

统计力学 · 物理学 2012-07-27 M. Khorrami , V. Karimipour

By generalizing the algebra of operators of the Asymmetric Simple Exclusion Process (ASEP), a multi-species ASEP in which particles can overtake each other,is defined on both open and closed one dimensional chains. On the ring the steady…

凝聚态物理 · 物理学 2009-10-31 V. karimipour

A multi-species generalization of the Asymmetric Simple Exclusion Process (ASEP) has been considered in the presence of a single impurity on a ring. The model describes particles hopping in one direction with stochastic dynamics and hard…

统计力学 · 物理学 2009-11-07 Farhad H Jafarpour

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

We obtain an exact matrix product steady state for a class of multi species asymmetric simple exclusion process with impurities, under periodic boundary condition. Alongside the usual hopping dynamics, an additional flip dynamics is…

统计力学 · 物理学 2023-03-17 Amit Kumar Chatterjee , Hisao Hayakawa

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

We study a generalized two-species model on a ring. The original model [1] describes ordinary particles hopping exclusively in one direction in the presence of an impurity. The impurity hops with a rate different from that of ordinary…

统计力学 · 物理学 2009-10-31 Farhad H Jafarpour

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…

概率论 · 数学 2007-05-23 Ilie Grigorescu , Min Kang , Timo Seppalainen

To mimic the complex transport-like collective phenomena in a man-made or natural system, we study an open network junction model of totally asymmetric simple exclusion process with bulk particle attachment and detachment. The stationary…

统计力学 · 物理学 2022-02-23 Ankita Gupta , Arvind Kumar Gupta

We propose a misanthrope process, defined on a ring, which realizes the totally asymmetric simple exclusion process with open boundaries. In the misanthrope process, particles have no exclusion interactions in contrast to those in the…

统计力学 · 物理学 2015-06-19 Masahiro Kanai

In the asymmetric simple exclusion process on the integers each particle waits exponential time, then with probability p it moves one step to the right if the site is unoccupied, otherwise it stays put; and with probability q=1-p it moves…

概率论 · 数学 2013-02-18 Craig A. Tracy , Harold Widom

We study a system composed of two parallel totally asymmetric simple exclusion processes with open boundaries, where the particles move in the two lanes in opposite directions and are allowed to jump to the other lane with rates inversely…

统计力学 · 物理学 2007-08-23 Robert Juhasz

We formulate and analyze the steady-state behavior of totally asymmetric simple exclusion processes (TASEPs) that contain periodically varying movement rates. In our models, particles at a majority sites hop to the right with rate $p_1$…

统计力学 · 物理学 2007-05-23 Greg Lakatos , Tom Chou , Anatoly Kolomeisky

We introduce a multi-species generalization of the symmetric simple exclusion process with open boundaries. This model possesses the property of being integrable and appears as physically relevant because the boundary conditions can be…

统计力学 · 物理学 2017-02-01 Matthieu Vanicat

The cohesive collective motion (flocking, swarming) of autonomous agents is ubiquitously observed and exploited in both natural and man-made settings, thus, minimal models for its description are essential. In a model with continuous space…

统计力学 · 物理学 2015-01-12 Illes J. Farkas , Jeromos Kun , Yi Jin , Gaoqi He , Mingliang Xu

When particle flux is regulated by multiple factors such as particle supply and varying transport rate, it is important to identify the respective dominant regimes. We extend the well-studied totally asymmetric simple exclusion model to…

统计力学 · 物理学 2013-10-30 L. Jonathan Cook , J. J. Dong , Alexander LaFleur

We consider the one-dimensional partially asymmetric exclusion process with random hopping rates, in which a fraction of particles (or sites) have a preferential jumping direction against the global drift. In this case the accumulated…

无序系统与神经网络 · 物理学 2009-11-10 R. Juhasz , L. Santen , F. Igloi

We study the asymmetric exclusion process on a regular Cayley tree with arbitrary co-ordination number. In this model particles can enter the system only at the parent site and exit from one of the sites at the last level. In the bulk they…

统计力学 · 物理学 2011-05-31 Mahashweta Basu , P. K. Mohanty

We study mixing times of the symmetric and asymmetric simple exclusion process on the segment where particles are allowed to enter and exit at the endpoints. We consider different regimes depending on the entering and exiting rates as well…

概率论 · 数学 2022-05-03 Nina Gantert , Evita Nestoridi , Dominik Schmid

A totally asymmetric exclusion process on a ring with $\nu$ non-conserved internal degrees of freedom, where particles hop forward with a rate that depends on their internal state, has been studied. We show, using a mapping of the model to…

统计力学 · 物理学 2010-11-16 Urna Basu , P. K. Mohanty
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