2003/04/28 by Hans-Karl Janssen, Janssen, Hans-Karl · 1 citation
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Random Matrices and Applications #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0304631
Dedicated to Lothar Schaefer on the occasion of his 60 th birthday
openalex publication_date 2003/04/28 · arxiv created 2005/01/12 · arxiv updated 2009/11/30 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28
Survival and percolation probabilities are most important quantities in the\ntheory and in the application of growth models with spreading. We construct\nfield theoretical expressions for these probabilities which are feasible for\nperturbation expansions. The outstanding role of the absorbing noise is\nstressed to obtain survival probabilities monotonic decreasing with time. We\nbriefly consider some fundamental growth models equipped with absorbing noise\nwhich are representations of known universality classes of spreading phenomena.\nThe critical scaling properties of their survival and percolation and\nprobabilities are stated. In an appendix we consider shortly the renormalized\nfield theory of compact directed percolation.\n