Numerical study of local and global persistence in directed percolation

  title={Numerical study of local and global persistence in directed percolation},
  author={Haye Hinrichsen and Hari M. Koduvely},
  journal={The European Physical Journal B - Condensed Matter and Complex Systems},
  • H. Hinrichsen, H. M. Koduvely
  • Published 27 November 1997
  • Mathematics, Physics
  • The European Physical Journal B - Condensed Matter and Complex Systems
Abstract:The local persistence probability Pl(t) that a site never becomes active up to time t, and the global persistence probability Pg(t) that the deviation of the global density from its mean value does not change its sign up to time t are studied in a (1+1)-dimensional directed percolation process by Monte-Carlo simulations. At criticality, starting from random initial conditions, Pl(t) decays algebraically with the exponent . The value is found to be independent of the initial density and… 
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