A rejection-free Monte Carlo method for the hard-disk system

Details A rejection-free Monte Carlo method for the hard-disk system A rejection-free Monte Carlo method for the hard-disk system

2003-12-20

arxiv.org/abs/cond-mat/0312548v4

Phys. Rev. E 74 026707, (2006)

Physics

Condensed Matter

Statistical Mechanics

8 pages, 9 figures. This paper has been combined into the cond-mat/0508652, and published in Phys. Rev. E

Scientific paper

We construct a rejection-free Monte Carlo method for the hard-disk system. Rejection-free Monte Carlo methods preserve the time-evolution behavior of the standard Monte Carlo method, and this relationship is confirmed for our method by observing nonequilibrium relaxation of a bond-orientational order parameter. The rejection-free method gives a greater computational efficiency than the standard method at high densities. The rejection free method is implemented in a shrewd manner using optimization methods to calculate a rejection probability and to update the system. This method should allow an efficient study of the dynamics of two-dimensional solids at high density.

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