Pair contact process with a particle source

Ronald Dickman, Wilson R M Rabêlo, G. Ódor

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

We study the phase diagram and critical behavior of the one-dimensional pair contact process (PCP) with a particle source using cluster approximations and extensive simulations. The source creates isolated particles only, not pairs, and so couples not to the order parameter (the pair density) but to a nonordering field, whose state influences the evolution of the order parameter. While the critical point pc shows a singular dependence on the source intensity, the critical exponents appear to be unaffected by the presence of the source, except possibly for a small change in β. In the course of our paper, we obtain high-precision values for the critical exponents of the standard PCP, confirming directed-percolationlike scaling.

Original languageEnglish
Article number016118
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume65
Issue number1
DOIs
Publication statusPublished - Jan 2002

Fingerprint

Contact Process
Order Parameter
Critical Exponents
exponents
Critical Behavior
Phase Diagram
Critical point
critical point
phase diagrams
Scaling
scaling
Approximation
approximation
Simulation
simulation

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Pair contact process with a particle source. / Dickman, Ronald; Rabêlo, Wilson R M; Ódor, G.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 65, No. 1, 016118, 01.2002.

Research output: Contribution to journalArticle

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