KPZ Equation and Surface Growth Model
Condensed Matter
2007-05-23 v1 Exactly Solvable and Integrable Systems
solv-int
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/9812073,
title = {KPZ Equation and Surface Growth Model},
author = {Masato Hisakado},
journal= {arXiv preprint arXiv:cond-mat/9812073},
year = {2007}
}
Comments
14 pages, LaTex,8 eps files