A numerical strategy for coarse-graining two-dimensional atomistic models at finite temperature: the membrane case
Materials Science
2011-09-28 v1
Abstract
We present a numerical strategy to compute ensemble averages of coarse-grained two-dimensional membrane-like models. The approach consists in generalizing to these two-dimensional models a one-dimensional strategy exposed in [Blanc, Le Bris, Legoll, Patz, JNLS 2010], which is based on applying the ergodic theorem to Markov chains. This may be considered as a first step towards computing the constitutive law associated to such models, in the thermodynamic limit.
Cite
@article{arxiv.1109.5978,
title = {A numerical strategy for coarse-graining two-dimensional atomistic models at finite temperature: the membrane case},
author = {Xavier Blanc and Frederic Legoll},
journal= {arXiv preprint arXiv:1109.5978},
year = {2011}
}