Multicanonical ensemble: A new approach to simulate first-order phase transitions
- 6 January 1992
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 68 (1) , 9-12
- https://doi.org/10.1103/physrevlett.68.9
Abstract
Relying on the recent proposed multicanonical algorithm, we present a numerical simulation of the first-order phase transition in the 2D 10-state Potts model on lattices up to sizes 100×100. It is demonstrated that the new algorithm lacks an exponentially fast increase of the tunneling time between metastable states as a function of the linear size L of the system. Instead, the tunneling time diverges approximately proportional to . On our largest lattice we gain more than 2 orders of magnitude as compared to a standard heat-bath algorithm. As a first physical application we report a high-precision computation of the interfacial free energy per unit area.
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This publication has 13 references indexed in Scilit:
- Dynamics near a first-order phase transition with the Metropolis and Swendsen-Wang algorithmsNuclear Physics B, 1991
- Finite-size scaling and Monte Carlo simulations of first-order phase transitionsPhysical Review B, 1991
- Finite-size scaling for Potts modelsJournal of Statistical Physics, 1991
- New numerical method to study phase transitionsPhysical Review Letters, 1990
- Noncanonical path and surface simulationNuclear Physics B, 1987
- Nonuniversal critical dynamics in Monte Carlo simulationsPhysical Review Letters, 1987
- Monte Carlo calculation of the surface tension for two- and three-dimensional lattice-gas modelsPhysical Review A, 1982
- The Potts modelReviews of Modern Physics, 1982
- Finite size scaling analysis of ising model block distribution functionsZeitschrift für Physik B Condensed Matter, 1981
- Some generalized order-disorder transformationsMathematical Proceedings of the Cambridge Philosophical Society, 1952