Strict Detailed Balance is Unnecessary in Monte Carlo Simulation

Details Strict Detailed Balance is Unnecessary in Monte Carlo Simulation Strict Detailed Balance is Unnecessary in Monte Carlo Simulation

1998-09-17

arxiv.org/abs/cond-mat/9809240v2

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1063/1.477973

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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