Effects of detachment and size of particles in totally asymmetric simple exclusion processes

Xian-Qing Yang, Kang Qiu, Wei Zhang, Lin Ren, Wen-Tao Xu and You-Jin Deng

Physica A: Statistical Mechanics and its Applications, 2007, vol. 379, issue 2, 595-606

Abstract: In this article, the effects of irreversible detachments of particles in totally asymmetric simple exclusion processes (TASEPs) with extended particles which occupy more than one lattice site, are investigated. First, an approximate mean-field theory is used to calculate phase diagrams and density profiles. The results show that the detachment and the size of the particles have distinct effects on the stationary phases in the two sublattices divided by the detachment, especially in the mc/hd and the hd/hd phase. Here, symbols “mc”, “hd”, and “ld” are initials of maximal current, high density, and low density, respectively, and “mc/hd” represents the stationary state that the left sublattice is in the maximum-current (mc) phase while the right sublattice is in the high density (hd) phase. When the detachment rate is very large, there are four stationary phases, including ld/ld, ld/hd, mc/ld, and mc/hd phases. When the value of the detachment rate is in the middle range, the hd/hd phase occurs, and hence there exist five stationary phases. When the rate is very small, the mc/hd phase disappears, and there are only four phases again. These theoretical results qualitatively and quantitatively agree with computer Monte Carlo simulations especially in the case of large value of the detachment rate.

Keywords: TASEPs; Detachment; Extended particle; Density profile (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:379:y:2007:i:2:p:595-606

DOI: 10.1016/j.physa.2007.01.007

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