Ezaki Takahiro, Nishinari Katsuhiro
Department of Aeronautics and Astronautics, School of Engineering, The University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, Tokyo 113-8656, Japan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Dec;84(6 Pt 1):061149. doi: 10.1103/PhysRevE.84.061149. Epub 2011 Dec 28.
We propose a type of asymmetric simple exclusion process by introducing an adsorption lane. In the system, each particle can be adsorbed by the adsorption lane only once per travel. The adsorption and desorption probabilities control the density of adsorption sites and the number of adsorbed particles. The ratio of the adsorbed particles shows reversal dynamics for congestion of the system, which is called the "positive congestion effect." We analyze this phenomenon by simulations and an approximation and successfully derive its critical condition. The spatial distribution of particles controlled by the adsorption and desorption probabilities is also investigated through balance equations of particles.
我们通过引入一条吸附通道提出了一种非对称简单排斥过程。在该系统中，每个粒子每次移动时只能被吸附通道吸附一次。吸附和解吸概率控制着吸附位点的密度和被吸附粒子的数量。被吸附粒子的比例在系统拥堵时呈现出反向动力学，这被称为“正拥堵效应”。我们通过模拟和近似分析了这一现象，并成功推导出其临界条件。还通过粒子平衡方程研究了由吸附和解吸概率控制的粒子空间分布。
