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The phase diagram for a class of multispecies permissive asymmetric exclusion processes
Journal of Statistical Mechanics: Theory and Experiment ( IF 2.4 ) Pub Date : 2021-01-06 , DOI: 10.1088/1742-5468/abc7ba
Dipankar Roy

In this article, we investigate a multispecies generalization of the single-species asymmetric simple exclusion process defined on an open one-dimensional lattice. We devise an exact projection scheme to find the phase diagram in terms of densities and currents of all species. In most of the phases, one or more species are absent in the system due to dynamical expulsion. We observe shocks as well in some regions of the phase diagram. We explain the density profiles using a generalized shock structure that is substantiated by numerical simulations.

中文翻译:

一类多物种允许不对称排斥过程的相图

在本文中,我们研究了在开放一维晶格上定义的单物种不对称简单排除过程的多物种泛化。我们设计了一个精确的投影方案,以根据所有物种的密度和电流找到相图。在大多数阶段中,由于动力排斥,系统中不存在一种或多种物质。我们在相图的某些区域也观察到了冲击。我们使用由数值模拟证实的广义冲击结构来解释密度分布。
更新日期:2021-01-06
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