Multicanonical ensemble: A new approach to simulate first-order phase transitions

1992/01/06 by Bernd A. Berg, B. A. Berg, Thomas Neuhaus +1 · 45 citations
Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #hep-lat

paper · pdf · doi:10.1103/physrevlett.68.9

published as Phys.Rev.Lett. 68 (1992) 9-12

openalex publication_date 1992/01/06 · arxiv created 1992/04/08 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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\ifmmode×\else\texttimes\fi100. 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 L^2.65. 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.

Citations

• Some generalized order-disorder transformations

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