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A dynamical Monte Carlo algorithm for master equations with time-dependent transition rates

Journal of Statistical Physics, ISSN: 0022-4715, Vol: 89, Issue: 3-4, Page: 709-734
1997
  • 30
    Citations
  • 0
    Usage
  • 44
    Captures
  • 1
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    30
    • Citation Indexes
      30
  • Captures
    44
  • Mentions
    1
    • References
      1
      • Wikipedia
        1

Article Description

A Monte Carlo algorithm for simulating master equations with time-dependent transition rates is described. It is based on a waiting time image, and takes into account that the system can become frozen when the transition rates tend to zero fast enough in time. An analytical justification is provided. The algorithm reduces to the Bortz-Kalos Lebowitz one when the transition rates are constant. Since the exact evaluation of waiting times is rather involved in general, a simple and efficient iterative method for accurately calculating them is introduced. As an example, the algorithm is applied to a one-dimensional Ising system with Glauber dynamics. It is shown that it reproduces the exact analytical results, being more efficient than the direct implementation of the Metropolis algorithm.

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