Local persistence in the directed percolation universality class

Johannes Fuchs, Joerg Schelter, Francesco Ginelli, Haye Hinrichsen

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13 Citations (Scopus)

Abstract

We revisit the problem of local persistence in directed percolation, reporting improved estimates of the persistence exponent in 1 + 1 dimensions, discovering strong corrections to scaling in higher dimensions, and investigating the mean field limit. Moreover, we examine a graded persistence probability that a site does not flip more than m times and demonstrate how local persistence can be studied in seed simulations. Finally, the problem of spatial (as opposed to temporal) persistence is investigated.

Original languageEnglish
Article numberP04015
Number of pages24
JournalJournal of statistical mechanics-Theory and experiment
Volume2008
DOIs
Publication statusPublished - Apr 2008

Keywords

  • critical exponents and amplitudes (theory)
  • percolation problems (theory)
  • persistence (theory)
  • zero-temperature dynamics
  • non-markovian persistence
  • global persistence
  • finite-temperature
  • ising-models
  • coarsening systems
  • phase-transitions
  • Potts-model
  • fluctuating interfaces
  • survival probability

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