Survival and Percolation Probabilities in the Field Theory of Growth Models

Details Survival and Percolation Probabilities in the Field Theory of Growth Models Survival and Percolation Probabilities in the Field Theory of Growth Models

2003-04-28

arxiv.org/abs/cond-mat/0304631v3

Physics

Condensed Matter

Statistical Mechanics

Dedicated to Lothar Schaefer on the occasion of his 60 th birthday

Scientific paper

Survival and percolation probabilities are most important quantities in the theory and in the application of growth models with spreading. We construct field theoretical expressions for these probabilities which are feasible for perturbation expansions. The outstanding role of the absorbing noise is stressed to obtain survival probabilities monotonic decreasing with time. We briefly consider some fundamental growth models equipped with absorbing noise which are representations of known universality classes of spreading phenomena. The critical scaling properties of their survival and percolation and probabilities are stated. In an appendix we consider shortly the renormalized field theory of compact directed percolation.

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