Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-07-23
Physics
Condensed Matter
Statistical Mechanics
37 pages, (LaTeX2e), 5 figures
Scientific paper
Conventional simulations of complex systems in the canonical ensemble suffer from the quasi-ergodicity problem. A simulation in generalized ensemble overcomes this difficulty by performing a random walk in potential energy space and other parameter space. From only one simulation run, one can obtain canonical-ensemble averages of physical quantities as functions of temperature by the single-histogram and/or multiple-histogram reweighting techniques. In this article we review the generalized-ensemble algorithms. Three well-known methods, namely, multicanonical algorithm, simulated tempering, and replica-exchange method, are described first. Both Monte Carlo and molecular dynamics versions of the algorithms are given. We then present further extensions of the above three methods.
Mitsutake Ayori
Okamoto Yuko
Sugita Yuji
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