Effect of self-deflection on a totally asymmetric simple exclusion process with functions of site assignments
Effect of self-deflection on a totally asymmetric simple exclusion process with functions of site assignments
复制标题
自偏转对具有位点分配函数的完全不对称简单排除过程的影响
DOI：
10.1103/physreve.97.042117
复制
发表时间：
2018
影响因子：
2.4
通讯作者：
Nishinari Katsuhiro
中科院分区：
文献类型：
--
作者：
Tsuzuki Satori;Yanagisawa Daichi;Nishinari Katsuhiro
本研究提出了一个完全不对称的简单排除过程的单通道车道与功能的网站分配沿着维修区车道的模型。系统模型尝试通过随机选择维修区中的一个空站点并将其保留给粒子，以一定的概率将新粒子插入到最左边的站点。此后，粒子被引导在其行进期间仅在该位点处停止一次。最近，该系统被确定为显示自偏转效应，其中站点使用分布自发地偏向最左边的站点，并且当站点使用分布稍微偏向最右边的站点时，吞吐量变得最大。我们的精确分析描述了这种偏转效应，并显示出良好的协议与模拟。
This study proposes a model of a totally asymmetric simple exclusion process on a single-channel lane with functions of site assignments along the pit lane. The system model attempts to insert a new particle to the leftmost site at a certain probability by randomly selecting one of the empty sites in the pit lane, and reserving it for the particle. Thereafter, the particle is directed to stop at the site only once during its travel. Recently, the system was determined to show a self-deflection effect, in which the site usage distribution biases spontaneously toward the leftmost site, and the throughput becomes maximum when the site usage distribution is slightly biased to the rightmost site. Our exact analysis describes this deflection effect and show a good agreement with simulations.