Interface roughening in two dimensions

Abstract

Roughening of interfaces implies the divergence of the interface width $w$ with the system size $L$. For two-dimensional systems the divergence of $w^2$ 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 $w^2$, which differs from results in the literature. It is confirmed by Monte Carlo simulations.

10 pages, 3 figures

References in corpus (2)

• Profile and width of rough interfaces
• Interfacial roughening in field theory

Cited by in corpus (1)

• Thermodynamically Consistent Phase-Field Theory Including Nearest-Neighbor Pair Correlations Explains Failure of Mean-Field Reasoning