Thermal roughening of an SOS-model with elastic interaction
Statistical Mechanics
2009-11-07 v1
Abstract
We analyze the effects of a long-ranged step-step interaction on thermal roughening within the framework of a solid-on-solid model of a crystal surface by means of Monte Carlo simulation. A repulsive step-step interaction is modeled by elastic dipoles located on sites adjacent to the steps. In order to reduce the computational effort involved in calculating interaction energy based on long-ranged potentials, we employ a multi-grid scheme. As a result of the long-range character of the step interaction, the roughening temperature increases drastically compared to a system with short-range cutoff as a consequence of anti-correlations between surface defects.
Keywords
Cite
@article{arxiv.cond-mat/0209159,
title = {Thermal roughening of an SOS-model with elastic interaction},
author = {Frank Gutheim and Heiner Mueller-Krumbhaar and Efim Brener and Vladimir Kaganer},
journal= {arXiv preprint arXiv:cond-mat/0209159},
year = {2009}
}