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Non-equilibrium phase transition in the heterogenous TASEPs with binding and unbinding processes among the adjacent subsystems
Chaos, Solitons & Fractals ( IF 7.8 ) Pub Date : 2020-09-10 , DOI: 10.1016/j.chaos.2020.110270
Yu-Qing Wang , Zi-Huan Zhang , Bing-Hong Wang

Non-equilibrium phase transition is always one of the most important issue for complexity science, since it can reveal physical mechanisms of abundant physical phenomena. Exploring applications of non-equilibrium phase transitions in basic paradigm models of complexity science is vital for better comprehending essences of real physical processes. Among these processes, totally asymmetric simple exclusion process (TASEP) stands out owing to important theoretical significances and practical value, whose importance is regarded as being equivalent to Ising model. In this paper, a heterogeneous interacting particle system constituted by three-lane TASEPs with binding and unbinding processes affected by interacting energies among adjacent subsystems is proposed. Nonlinear equations about all particle configuration states of boundaries and bulk are established. We find and analyze numerical local densities and currents by performing simple and cluster mean-field analyses. Nine species of phases including homogeneous phases and mixed ones are discovered. Specifically, as for mixed phases, densities of middle channel are much larger and smaller than those of neighboring ones when specific interacting energy is positive and negative, respectively. All triple points are found to move to upper left corner of phase space with increasing interacting energy. Current phase diagrams mapped into density phase ones are explored, which reveal currents in homogenous phases rely on just one critical governing parameter (namely, injecting rate or escaping one) while those in mixed phases are controlled by the coupling effects of these two critical governing rates. Theoretical results from mean-field analyses are confirmed by simulations, which yield to fine coincidences. This work will improve understanding of non-equilibrium phase transition mechanisms in such basic paradigm models and stochastic dynamics in corresponding critical phenomena to a certain extent, especially cluster effects and related dynamic processes of self-driven particles in such systems in the area of complex system science and statistical physics at mesoscopic scale.



中文翻译:

异构TASEP中的非平衡相变以及相邻子系统之间的结合和解离过程

非平衡相变始终是复杂性科学最重要的问题之一,因为它可以揭示大量物理现象的物理机制。探索非平衡相变在复杂性科学的基本范式模型中的应用对于更好地理解实际物理过程的本质至关重要。在这些过程中,由于具有重要的理论意义和实用价值,完全不对称的简单排除过程(TASEP)脱颖而出,其重要性被认为等同于伊辛模型。本文提出了一种由三车道TASEP组成的异质相互作用粒子系统,该系统具有受相邻子系统之间相互作用能量影响的结合和解离过程。建立了关于边界和主体的所有粒子构型状态的非线性方程。我们通过执行简单的聚类平均场分析来发现并分析数值局部密度和电流。发现了九种相,包括均相和混合相。具体地,对于混合相,当比相互作用能分别为正和负时,中间通道的密度比相邻通道的密度大得多和小得多。随着相互作用能的增加,发现所有三重点都移至相空间的左上角。探索了映射到密度相的电流相图,揭示了均相中的电流仅依赖于一个关键的控制参数(即,注入速率或逃逸速率),而混合相中的注入速率则由这两个关键控制速率的耦合效应控制。平均场分析的理论结果通过模拟得到了证实,这产生了很好的巧合。这项工作将在一定程度上增进对这种基本范式模型中非平衡相变机制和相应临界现象的随机动力学的理解,特别是在复杂系统领域中此类系统中自驱动粒子的簇效应和相关动力学过程。科学和统计物理的介观尺度。

更新日期:2020-09-10
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