双通道驱动格子气体的激波动力学
Shock-dynamics of two-lane driven lattice gases
摘要:
作为ASEP的驱动晶格气体是模拟自驱动粒子(如分子马达或道路交通中的车辆)进行的各种随机输运过程的有用工具。这些过程通常发生在一维系统中,为粒子提供了几个轨道,并且在许多情况下,粒子能够以给定的速率改变轨道。在这项工作中,我们考虑的情况下,强耦合的跳跃率沿轨道和交换率是相同的顺序,并显示如何基于畴壁理论的唯象方法可以描述系统的动力学。特别地,不同轨道上的畴壁形成对,其动力学支配系统的行为。
英文摘要:
Driven lattice gases as the ASEP are useful tools for the modeling of various stochastic transport processes carried out by self-driven particles, such as molecular motors or vehicles in road traffic. Often these processes take place in one-dimensional systems offering several tracks to the particles, and in many cases the particles are able to change track with a given rate. In this work we consider the case of strong coupling where the hopping rate along the tracks and the exchange rates are of the same order, and show how a phenomenological approach based on a domain wall theory can describe the dynamics of the system. In particular, the domain walls on the different tracks form pairs, whose dynamics dominate the behavior of the system.
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