Contact processes with long range interactions

F. Ginelli, H. Hinrichsen, R. Livi, D. Mukamel, A. Torcini

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

A class of non-local contact processes is introduced and studied using the mean field approximation and numerical simulations. In these processes particles are created at a rate which decays algebraically with the distance from the nearest particle. It is found that the transition into the absorbing state is continuous and is characterized by continuously varying critical exponents. This model differs from the previously studied non-local directed percolation model, where particles are created by unrestricted Levy flights. It is motivated by recent studies of non-equilibrium wetting indicating that such non-local processes play a role in the unbinding transition. Other non-local processes which have been suggested to exist within the context of wetting are considered as well.

Original languageEnglish
Article numberP08008
Pages (from-to)-
Number of pages16
JournalJournal of statistical mechanics-Theory and experiment
DOIs
Publication statusPublished - Aug 2006

Keywords

  • nonequilibrium wetting (theory)
  • phase transitions into absorbing states (theory)
  • PHASE-TRANSITIONS
  • DIRECTED PERCOLATION
  • GROWTH-PROCESS
  • NONEQUILIBRIUM
  • MODEL
  • BEHAVIOR
  • LATTICE

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