Logarithmic corrections for the percolative properties of the four-state Potts model

C. Vanderzande*, J. F. Marko

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Clusters in the Potts model are connected sets of nearest neighbour sites for which the spin variables are in the same state. Droplets can be obtained by adding bonds with probability p=1-exp(-K) between the sites in a cluster (where K is the Potts model's inverse temperature). When q to 4, renormalization group (RG) fixed points describing clusters and droplets will coalesce, leading to logarithmic corrections. We calculate the precise form of these corrections used in a differential RG method. Our predictions are then tested using extensive Monte Carlo calculations. Theory and the simulations are found to be in excellent agreement.

Original languageEnglish (US)
Article number014
Pages (from-to)7391-7403
Number of pages13
JournalJournal of Physics A: Mathematical and General
Volume26
Issue number24
DOIs
StatePublished - Dec 1 1993

ASJC Scopus subject areas

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

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