A corner transfer matrix renormalization group investigation of the vertex-interacting self-avoiding walk model

D. P. Foster, C. Pinettes

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

A recently introduced extension of the corner transfer matrix renormalization group method useful for the study of self-avoiding walk-type models is presented in detail and applied to a class of interacting self-avoiding walks due to Blöte and Nienhuis. This model displays two different types of collapse transition depending on model parameters. One is the standard θ-point transition. The other is found to give rise to a first-order collapse transition despite being known to be in other respects critical.

Original languageEnglish
Pages (from-to)10279-10298
Number of pages20
JournalJournal of Physics A: Mathematical and General
Volume36
Issue number41
DOIs
Publication statusPublished - 17 Oct 2003
Externally publishedYes

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Matrix Groups
Self-avoiding Walk
Transfer Matrix
Renormalization Group
apexes
Vertex of a graph
renormalization group methods
transition points
Model
First-order

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

Cite this

A corner transfer matrix renormalization group investigation of the vertex-interacting self-avoiding walk model. / Foster, D. P.; Pinettes, C.

In: Journal of Physics A: Mathematical and General, Vol. 36, No. 41, 17.10.2003, p. 10279-10298.

Research output: Contribution to journalArticle

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