Tests for Monte Carlo renormalization studies on Ising models

Ganpathy Murthy, R. Shankar

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


In this expanded version of an earlier letter, we consider many computational details that were omitted for want of space. For d = 2 Ising spins with up to 13 different short-range interactions, we construct the critical surface in the vicinity of (Onsager's) nearest-neighbor (nn) critical point by using the body of the available information on the solvable nn case. We then see if the Monte Carlo renormalization group flows generated from this point do indeed lie on this surface and quantify the errors if they do not.

Original languageEnglish
Pages (from-to)275-288
Number of pages14
JournalJournal of Statistical Physics
Issue number3-4
StatePublished - Feb 1986


  • Ising model
  • Monte Carlo renormalization group
  • correlation functions
  • critical surface
  • transfer matrix

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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