# 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} }

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…

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