Correlated initial conditions in directed percolation

Haye Hinrichsen, Géza Ódor

Research output: Article

17 Citations (Scopus)

Abstract

We investigate the influence of correlated initial conditions on the temporal evolution of a [Formula Presented]-dimensional critical directed percolation process. Generating initial states with correlations [Formula Presented] we observe that the density of active sites in Monte Carlo simulations evolves as [Formula Presented] The exponent κ depends continuously on σ, and varies in the range [Formula Presented] Our numerical results are confirmed by an exact field-theoretical renormalization group calculation.

Original languageEnglish
Pages (from-to)311-317
Number of pages7
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume58
Issue number1
DOIs
Publication statusPublished - jan. 1 1998

ASJC Scopus subject areas

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

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