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Quasi-stationary simulation of the contact process

Author

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  • Dickman, Ronald
  • Martins de Oliveira, Marcelo

Abstract

We review a recently devised Monte Carlo simulation method for the direct study of quasi-stationary properties of stochastic processes with an absorbing state. The method is used to determine the static correlation function and the interparticle gap-length distribution in the critical one-dimensional contact process. We also find evidence for power-law decay of the interparticle distance distribution in the two-particle subspace.

Suggested Citation

  • Dickman, Ronald & Martins de Oliveira, Marcelo, 2005. "Quasi-stationary simulation of the contact process," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 357(1), pages 134-141.
    • Handle: RePEc:eee:phsmap:v:357:y:2005:i:1:p:134-141
    DOI: 10.1016/j.physa.2005.05.051
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    Citations

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    Cited by:

    1. Peyrard, N. & Dieckmann, U. & Franc, A., 2008. "Long-range correlations improve understanding of the influence of network structure on contact dynamics," Theoretical Population Biology, Elsevier, vol. 73(3), pages 383-394.
    2. Artalejo, J.R., 2012. "On the time to extinction from quasi-stationarity: A unified approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(19), pages 4483-4486.

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