Directed percolation with long-range interactions: Modeling nonequilibrium wetting

F Ginelli, H Hinrichsen, R Livi, D Mukamel, A Politi

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21 Citations (Scopus)

Abstract

It is argued that some phase transitions observed in models of nonequilibrium wetting phenomena are related to contact processes with long-range interactions. This is investigated by introducing a model where the activation rate of a site at the edge of an inactive island of length l is 1+al(-sigma). Mean-field analysis and numerical simulations indicate that for sigma>1 the transition is continuous and belongs to the universality class of directed percolation, while for 0 <sigma < 1, the transition becomes first order. This criterion is then applied to discuss critical properties of various models of nonequilibrium wetting.

Original languageEnglish
Article number026121
Pages (from-to)-
Number of pages11
JournalPhysical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume71
Issue number2
DOIs
Publication statusPublished - Feb 2005

Keywords

  • PHASE-TRANSITIONS
  • GROWTH-PROCESS
  • DIMENSIONS
  • CLUSTERS
  • LATTICE

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