Abstract
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.
Keywords
Monte Carlo methodStatistical physicsIsing modelMonte Carlo method in statistical physicsScalingMonte Carlo molecular modelingPotts modelDynamic Monte Carlo methodHybrid Monte CarloPhysicsMonte Carlo integrationLattice (music)Phase transitionQuantum Monte CarloMarkov chain Monte CarloMathematicsCondensed matter physicsStatistics
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Publication Info
- Year
- 1988
- Type
- article
- Volume
- 61
- Issue
- 23
- Pages
- 2635-2638
- Citations
- 2587
- Access
- Closed
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Cite This
Alan M. Ferrenberg,
Robert H. Swendsen
(1988).
New Monte Carlo technique for studying phase transitions.
Physical Review Letters
, 61
(23)
, 2635-2638.
https://doi.org/10.1103/physrevlett.61.2635
Identifiers
- DOI
- 10.1103/physrevlett.61.2635