Pair contact process with a particle source

Ronald Dickman, Wilson R. M. Rabêlo, and Géza Ódor
Phys. Rev. E 65, 016118 – Published 18 December 2001
PDFExport Citation

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.

  • Received 27 August 2001

DOI:https://doi.org/10.1103/PhysRevE.65.016118

©2001 American Physical Society

Authors & Affiliations

Ronald Dickman1,*, Wilson R. M. Rabêlo1, and Géza Ódor2,†

  • 1Departamento de Física, ICEx, Universidade Federal de Minas Gerais, Caixa Postal 702, 30161-970, Belo Horizonte - MG, Brasil
  • 2Research Institute for Technical Physics and Materials Science, P.O. Box 49, H-1525 Budapest, Hungary

  • *electronic address: dickman@fisica.ufmg.br
  • electronic address: odor@mfa.kfki.hu

References (Subscription Required)

Click to Expand
Issue

Vol. 65, Iss. 1 — January 2002

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×