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Strict Detailed Balance is Unnecessary in Monte Carlo Simulation

1998/09/30 by Vasilios I. Manousiouthakis, Michael W. Deem
Physics and Astronomy · #cond-mat.stat-mech

paper · pdf · doi:10.1063/1.477973

8 pages. LaTeX style. To appear in J. Chem. Phys

arxiv created 1998/12/02 · arxiv updated 2009/11/30

Abstract

Detailed balance is an overly strict condition to ensure a valid Monte Carlo simulation. We show that, under fairly general assumptions, a Monte Carlo simulation need satisfy only the weaker balance condition. Not only does our proof show that sequential updating schemes are correct, but also it establishes the correctness of a whole class of new methods that simply leave the Boltzmann distribution invariant.

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