MONTE CARLO RENORMALIZATION GROUP STUDIES OF q STATE POTTS MODELS IN TWO-DIMENSIONS

Oct, 1979
48 pages
Published in:
  • Phys.Rev.B 21 (1980) 9, 4094
  • Published: May 1, 1980
Report number:
  • BNL-26956

Citations per year

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Abstract: (APS)
The qq-state Potts models in two dimensions are studied with the Monte Carlo renormalization-group method. The results are in agreement with known properties. Combining our data with the qualitative picture of Nienhuis, Berker, Riedel, and Schick, we obtain a consistent description of the behavior of these models, including nearly singular behavior for q>4 (as proposed by Kim and Joseph) and suggesting logarithmic corrections to scaling for q=4q=4.
  • STATISTICAL MECHANICS: CRITICAL PHENOMENA
  • MODEL: TWO-DIMENSIONAL
  • APPROXIMATION: LATTICE
  • SCALING
  • RENORMALIZATION GROUP
  • CORRELATION FUNCTION
  • NUMERICAL CALCULATIONS: MONTE CARLO
  • TABLES
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