Crossover from directed percolation to compact directed percolation

J. F. F. Mendes; R. Dickman; H. Hermann

doi:10.1103/PhysRevE.54.R3071

Abstract

We study critical spreading in a surface-modified directed percolation model in which the left- and right-most sites have different occupation probabilities than in the bulk. As we vary the probability for growth at an edge, the critical exponents switch from the compact directed percolation class to ordinary directed percolation. We conclude that the nonuniversality observed in models with multiple absorbing configurations cannot be explained as a simple surface effect.

Received 28 May 1996

DOI:https://doi.org/10.1103/PhysRevE.54.R3071

Authors & Affiliations

J. F. F. Mendes^1,*, R. Dickman^2,†, and H. Hermann^3,4,‡

¹Center for Polymer Studies and Physics Department, Boston University, Boston, Massachusetts 02215 and Department of Physics, University of Porto, Rua do Campo Alegre 687, 4150 Porto, Portugal
²Department of Physics and Astonomy, Herbert H. Lehman College, City University of New York, Bronx, New York 10468
³P.M.M.H. (U.R.A. 857), E.S.P.C.I. Paris, 10 rue Vauquelin, 73231 Paris, France
⁴ICA 1, University of Stuttgart, Pfaffenwaldring 27, 70569 Stuttgart, Germany

^*Electronic address: jfmendes@sid3.bu.edu
^†Electronic address: dickman@lcvax.lehman.cuny.edu
^‡Electronic address:hans@pmmh.espci.fr

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