Corner transfer matrix renormalization group method for two-dimensional self-avoiding walks and other O(n) models
统计力学
2009-11-07 v2
摘要
We present an extension of the corner transfer matrix renormalisation group (CTMRG) method to O(n) invariant models, with particular interest in the self-avoiding walk class of models (O(n=0)). The method is illustrated using an interacting self-avoiding walk model. Based on the efficiency and versatility when compared to other available numerical methods, we present CTMRG as the method of choice for two-dimensional self-avoiding walk problems.
引用
@article{arxiv.cond-mat/0210548,
title = {Corner transfer matrix renormalization group method for two-dimensional self-avoiding walks and other O(n) models},
author = {D. P. Foster and C. Pinettes},
journal= {arXiv preprint arXiv:cond-mat/0210548},
year = {2009}
}
备注
4 pages 7 figures Substantial rewrite of previous version to include calculations of critical points and exponents. Final version accepted for publication in PRE (Rapid Communications)