The most effective model for describing the universal behavior of unstable surface growth
Statistical Mechanics
2017-09-13 v2
Abstract
We study a noisy Kuramoto-Sivashinsky (KS) equation which describes unstable surface growth and chemical turbulence. It has been conjectured that the universal long-wavelength behavior of the equation, which is characterized by scale-dependent parameters, is described by a Kardar-Parisi-Zhang (KPZ) equation. We consider this conjecture by analyzing a renormalization-group equation for a class of generalized KPZ equations. We then uniquely determine the parameter values of the KPZ equation that most effectively describes the universal long-wavelength behavior of the noisy KS equation.
Keywords
Cite
@article{arxiv.1703.08946,
title = {The most effective model for describing the universal behavior of unstable surface growth},
author = {Yuki Minami and Shin-ichi Sasa},
journal= {arXiv preprint arXiv:1703.08946},
year = {2017}
}
Comments
16pages, 8figures, Revised version as a full paper