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)


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
Issue number41
Publication statusPublished - 17 Oct 2003
Externally publishedYes


ASJC Scopus subject areas

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

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