KPZ Equation and Surface Growth Model
凝聚态物理
2007-05-23 v1 可精确求解与可积系统
solv-int
摘要
We consider the ultra-discrete Burgers equation. All variables of the equation are discrete. We classify the equation into five regions in the parameter space. We discuss behavior of solutions. Using this equation we construct the deterministic surface growth models respectively. Furthermore we introduce noise into the ultra-discrete Burgers equation. We present the automata models of the KPZ equation. One model corresponds to the discrete version of the ASEP and the other to the Kim-Kosterlitz model.
引用
@article{arxiv.cond-mat/9812073,
title = {KPZ Equation and Surface Growth Model},
author = {Masato Hisakado},
journal= {arXiv preprint arXiv:cond-mat/9812073},
year = {2007}
}
备注
14 pages, LaTex,8 eps files