Exact analyses on dynamical properties of one-dimensional stochastic models

本文研究了描述非平衡系统特别是非对称简单排斥过程的随机模型的精确时间演化性质，即多体随机游走模型和表面生长现象的基本方程kardar - paris - zhnag方程。在一些重要的初始条件下，我们得到了电流、高度等重要物理量的概率分布函数的精确表达式。

We have investigated exact time evolution properties of the stochastic models which describe nonequilibrium systems especially the asymmetric simple exclusion process, which is a many-body random walk model and the Kardar-Parisi-Zhnag equation, a basic equation for surface growth phenomena. In some important initial conditions, we have obtained exact expressions for the probability distribution functions of some important physical quantities such as current, height etc.