论文标题

多种物种不对称的简单排除过程,具有杂质激活翻转

Multi species asymmetric simple exclusion process with impurity activated flips

论文作者

Chatterjee, Amit Kumar, Hayakawa, Hisao

论文摘要

在周期性边界条件下,我们为一类多物种不对称的简单排除过程获得了精确的矩阵产物稳态。除了通常的跳动动力学外,仅在存在杂质的情况下激活另一种翻转动力学。尽管显微镜动力学使系统是非erer依的,但是在稳态中,对于特定的初始配置类别,可观察到可观察结果的精确分析结果。已经观察到了有趣的物理特征,包括负差分迁移率和相关性从负面到正与空位密度变化的过渡。我们讨论了该准确解决模型与多车道不对称的简单排除过程以及酶促化学反应的合理连接。

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 activated only in the presence of impurities. Although the microscopic dynamics renders the system to be non-ergodic, exact analytical results for observables are obtained in steady states for a specific class of initial configurations. Interesting physical features including negative differential mobility and transition of correlations from negative to positive with changing vacancy density, have been observed. We discuss plausible connections of this exactly solvable model with multi lane asymmetric simple exclusion processes as well as enzymatic chemical reactions.

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