Research Center for Advanced Science and Technology, The University of Tokyo, 4-6-1, Komaba, Meguro-ku, Tokyo 153-8904, Japan.
Phys Rev E. 2018 Apr;97(4-1):042117. doi: 10.1103/PhysRevE.97.042117.
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.
本研究提出了一种具有 pit 车道中位点分配功能的单通道车道上的全不对称简单排斥过程模型。该系统模型通过随机选择 pit 车道中的一个空位点，尝试以一定的概率将一个新粒子插入到最左边的位点，并为该粒子保留该位点。此后，在粒子的移动过程中，它只能在一个位点停止一次。最近，该系统被确定表现出自偏转效应，其中位点使用分布自发地偏向最左边的位点，并且当位点使用分布略微偏向最右边的位点时，吞吐量达到最大值。我们的精确分析描述了这种偏转效应，并与模拟结果吻合较好。
