Dynamical mean-field approximation for a pair contact process with a particle source

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Abstract

The one-dimensional pair contact process with a particle source is studied by using dynamical cluster mean-field approximations with sites up to [formula presented] The results obtained for different levels of approximation become convergent especially for [formula presented] and allow us to derive reliable extrapolations to the limit [formula presented] At the zero source limit, the critical point exhibits a discontinuity whose magnitude vanishes with [formula presented] Coherent anomaly analysis of the data supports the conclusion that the vanishing of the order parameter and the density of isolated particles have the same critical behavior. In contrast to an earlier prediction, the present approximation does not support the existence of critical behavior in the inactive phase where the frozen density of isolated particles depends on the initial state.

Original languageEnglish
Number of pages1
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume66
Issue number5
DOIs
Publication statusPublished - Nov 11 2002

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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