New Monte Carlo Technique for Studying Phase Transitions

1988
4 pages
Published in:
  • Phys.Rev.Lett. 61 (1988) 2635-2638

Citations per year

19891998200720162025051015202530
Abstract: (APS)
We present a new method for using the data from Monte Carlo simulations that can increase the efficiency by 2 or more orders of magnitude. A single Monte Carlo simulation is sufficient to obtain complete thermodynamic information over the entire scaling region near a phase transition. The accuracy of the method is demonstrated by comparison with exact results for the d=2 Ising model. New results for d=2 eight-state Potts model are also presented. The method is generally applicable to statistical models and lattice-gauge theories.
  • numerical methods: Monte Carlo
  • LATTICE FIELD THEORY: CRITICAL PHENOMENA
  • MODEL: POTTS
  • STATISTICAL MECHANICS: ISING
  • LATTICE FIELD THEORY: TWO-DIMENSIONAL
  • SCALING: CORRECTION
  • NUMERICAL CALCULATIONS: MONTE CARLO