English

Strict Detailed Balance is Unnecessary in Monte Carlo Simulation

Statistical Mechanics 2009-10-31 v2

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.

Keywords

Cite

@article{arxiv.cond-mat/9809240,
  title  = {Strict Detailed Balance is Unnecessary in Monte Carlo Simulation},
  author = {Vasilios I. Manousiouthakis and Michael W. Deem},
  journal= {arXiv preprint arXiv:cond-mat/9809240},
  year   = {2009}
}

Comments

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