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Directed Percolation with a Wall or Edge | Per Frojdh
; Martin Howard
; Kent B. Lauritsen
; | Date: |
18 Dec 1997 | Journal: | J. Phys. A 31, 2311-2320 (1998). | Subject: | Statistical Mechanics | cond-mat.stat-mech | Affiliation: | NORDITA), Martin Howard and Kent B. Lauritsen (CATS, NBI | Abstract: | We examine the effects of introducing a wall or edge into a directed percolation process. Scaling ansatzes are presented for the density and survival probability of a cluster in these geometries, and we make the connection to surface critical phenomena and field theory. The results of previous numerical work for a wall can thus be interpreted in terms of surface exponents satisfying scaling relations generalising those for ordinary directed percolation. New exponents for edge directed percolation are also introduced. They are calculated in mean-field theory and measured numerically in 2+1 dimensions. | Source: | arXiv, cond-mat/9712225 | Services: | Forum | Review | PDF | Favorites |
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