标题： 一种用于无序系统中粒子输运的细胞自动机模型 显示英文标题

标题： A cellular automata model for particle transport in disordered systems

摘要： 我们构建了一个细胞自动机（CA）模型，用于描述粒子在无序系统中的运动。 通过改变网格的配置并确定渗透路径的数量，研究了CA模型的数学性质。 通过该模型，我们能够开发出一个计算机模拟，展示了粒子传输过程。 在粒子跳跃机制下，无论是否存在隧穿（或反向散射），发现渗透概率具有指数行为。 然而，当存在隧穿和反向散射时，渗透概率的起始值会向较小的值移动。 显示英文摘要

摘要： We construct a cellular automaton (CA) model that describes the movement of a particle in a disordered system. The mathematical properties of the CA model were examined by varying the configuration of grid and determining the number of percolating paths. Through this model, we were able to develop a computer simulation that shows particle transport. Under particle hopping mechanism, with or without tunneling(or backscattering), it was found out that there is an exponential behavior of percolation probability. However, the onset of the percolation probability is shifted to a smaller value when tunneling and backscattering are present.