Biased Random Walk in Crowded Environment: Breaking Uphill/Downhill Symmetry of Transition Times
Biased Random Walk in Crowded Environment: Breaking Uphill/Downhill Symmetry of Transition Times
复制标题
拥挤环境中的偏置随机游走：打破过渡时间的上坡/下坡对称性
DOI：
10.1021/acs.jpclett.0c01113
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Kolomeisky, Anatoly B.
中科院分区：
文献类型：
--
作者：
Shin, Jaeoh;Berezhkovskii, Alexander M.;Kolomeisky, Anatoly B.
各种自然过程可以用随机游走的概念来分析。对于单个随机行走者，相邻站点之间上坡和下坡转换的平均等待时间相等。本文使用精确可解的一维随机模型研究了拥挤环境中示踪剂转移等待时间的上坡/下坡对称性。结果发现，出乎意料的是，沿偏压方向（下坡）移动的时间总是比反偏压方向（上坡）移动的时间长。不对称的程度取决于粒子密度、偏置的强度和系统的大小。讨论了对称性破缺的微观成因。
Various natural processes can be analyzed using the concept of random walks. For a single random walker, the mean waiting times for uphill and downhill transitions between neighboring sites are equal. Here we investigate the uphill/downhill symmetry of waiting times for transitions of a tracer in crowded environment using exactly solvable one-dimensional stochastic models. It is found that, unexpectedly, the time to move in the direction of the bias (downhill) is always longer than the time to move against the bias (uphill). The degree of asymmetry depends on the particle density, the strength of the bias, and the size of the system. The microscopic origin of the symmetry breaking is discussed.