Coarse-graining a restricted solid-on-solid model
统计力学
2007-05-23 v1
摘要
A procedure suggested by Vvedensky for obtaining continuum equations as the coarse-grained limit of discrete models is applied to the restricted solid-on-solid model with both adsorption and desorption. Using an expansion of the master equation, discrete Langevin equations are derived; these agree quantitatively with direct simulation of the model. From these, a continuum differential equation is derived, and the model is found to exhibit either Edwards-Wilkinson or Kardar-Parisi-Zhang exponents, as expected from symmetry arguments. The coefficients of the resulting continuum equation remain well-defined in the coarse-grained limit.
关键词
引用
@article{arxiv.cond-mat/0603765,
title = {Coarse-graining a restricted solid-on-solid model},
author = {Achilleas Lazarides},
journal= {arXiv preprint arXiv:cond-mat/0603765},
year = {2007}
}
备注
Accepted for pubication in PRE