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

ORAL

Abstract

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 it is confirmed for our method by observing nonequilibrium relaxations of a bond-orientational order parameter. The rejection-free method obtains much better performance than the standard method at high densities with new 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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Authors

  • Hiroshi Watanabe

    • Department of Complex, Systems Science, Graduate School of Information Science, Nagoya University

  • Satoshi Yukawa

    • Department of Applied Physics, School of Engineering, The University of Tokyo

  • Mark A. Novotny

    • Department of Physics \& Astronomy, ERC Center for Computational Sciences, Mississippi State University

  • Nobuyasu Ito

    • Department of Applied Physics, School of Engineering, The University of Tokyo