Roughening of interfaces implies the divergence of the interface width w with the system size L. For two-dimensional systems the divergence of w2 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, which differs from results in the literature. It is confirmed by Monte Carlo simulations.
@article{arxiv.2004.13807,
title = {Interface roughening in two dimensions},
author = {Gernot Münster and Manuel Cañizares Guerrero},
journal= {arXiv preprint arXiv:2004.13807},
year = {2021}
}