• DOI:10.1007/s10955-021-02738-w
• Corpus ID: 216641910

Interface Roughening in Two Dimensions

@article{Mnster2020InterfaceRI,
  title={Interface Roughening in Two Dimensions},
  author={Gernot M{\"u}nster and Manuel Ca{\~n}izares Guerrero},
  journal={Journal of Statistical Physics},
  year={2020},
  volume={182}
}

• G. Münster, Manuel Cañizares Guerrero
• Published 28 April 2020
• Computer Science
• Journal of Statistical Physics

Roughening of interfaces implies the divergence of the interface width w with the system size L. For two-dimensional systems the divergence of w2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$w^2$$\end{document} is linear in L. In the framework of a detailed capillary wave approximation and of statistical field theory we derive an expression for the asymptotic behaviour of w2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$w^2$$\end{document}, which differs from results in the literature. It is confirmed by Monte Carlo simulations.