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

D. P. Foster, C. Pinettes

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

An extension of the corner-transfer-matrix renormalization group (CTMRG) method to O(n) invariant model for two dimensional self-avoiding walk class of models [O(n=0)] is presented. It was shown that the CTMRG is the method of choice for two-dimensional self-avoiding walk problems. The CTMRG can be extended to more complex interacting self-avoiding walk models.

Original languageEnglish
Article number045105
Pages (from-to)451051-451054
Number of pages4
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume67
Issue number4
DOIs
Publication statusPublished - 28 Apr 2003
Externally publishedYes

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Matrix Groups
Self-avoiding Walk
renormalization group methods
Transfer Matrix
Renormalization Group
Model
Invariant

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

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abstract = "An extension of the corner-transfer-matrix renormalization group (CTMRG) method to O(n) invariant model for two dimensional self-avoiding walk class of models [O(n=0)] is presented. It was shown that the CTMRG is the method of choice for two-dimensional self-avoiding walk problems. The CTMRG can be extended to more complex interacting self-avoiding walk models.",
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