Corner transfer matrix renormalization group method for two-dimensional self-avoiding walks and other O(n) models

Abstract

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.

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)

References in corpus (1)

• Two dimensional self-avoiding walk with hydrogen-like bonding: Phase diagram and critical behaviour

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• The statistical mechanics of the two-dimensional hydrogen-bonding self-avoiding walk including solvent effects
• The role of three-body interactions in two-dimensional polymer collapse
• Accurate lower bounds on two-dimensional constraint capacities from corner transfer matrices
• Bethe approximation for the hydrogen-bonding self-avoiding walk in a solvent