Random walks on directed percolation clusters

T. Vicsek, J. Kertesz, J. Cserti

Research output: Contribution to journalArticle

4 Citations (Scopus)


An asymptotically exact expression is given for the mean displacement (R(t)) of random walks on directed percolation clusters on lattices in arbitrary dimensions. The critical behaviour of Rinfinity=limt to infinity(R(t)), the mean squared displacement and the relaxation time are discussed near the threshold probability pc=1 in terms of critical exponents.

Original languageEnglish
Pages (from-to)189-193
Number of pages5
JournalJournal of Physics A: Mathematical and General
Issue number4
Publication statusPublished - Apr 1 1982

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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