Generalized contact process on random environments

G. Szabó, Hajnalka Gergely, B. Oborny

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

Spreading from a seed is studied by Monte Carlo simulation on a square lattice with two types of sites affecting the rates of birth and death. These systems exhibit a critical transition between survival and extinction. For time-dependent background, this transition is equivalent to those found in homogeneous systems (i.e., to directed percolation). For frozen backgrounds, the appearance of the Griffiths phase prevents the accurate analysis of this transition. For long times in the subcritical region, the spreading remains localized in compact (rather than ramified) patches, and the average number of occupied sites increases logarithmically in the surviving trials.

Original languageEnglish
Article number066111
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume65
Issue number6
DOIs
Publication statusPublished - Jun 2002

Fingerprint

Contact Process
Random Environment
Directed Percolation
Square Lattice
death
Extinction
Patch
seeds
extinction
Monte Carlo Simulation
simulation
Background

ASJC Scopus subject areas

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

Cite this

Generalized contact process on random environments. / Szabó, G.; Gergely, Hajnalka; Oborny, B.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 65, No. 6, 066111, 06.2002.

Research output: Contribution to journalArticle

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