Directed percolation with an absorbing boundary

Kent Bækgaard Lauritsen, Kim Sneppen, Maria Markošová and Mogens H. Jensen

Physica A: Statistical Mechanics and its Applications, 1997, vol. 247, issue 1, 1-9

Abstract: We consider directed percolation with an absorbing boundary in 1 + 1 and 2 + 1 dimensions. The distribution of cluster lifetimes and sizes depend on the boundary. The new scaling exponents can be related to the exponents characterizing standard directed percolation 1 + 1 dimension. In addition, we investigate the backbone cluster and red bonds, and calculate the distribution of living sites along the absorbing boundary.

Keywords: Directed percolation; Chemical reactions; Spatio-temporal intermittency (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:247:y:1997:i:1:p:1-9

DOI: 10.1016/S0378-4371(97)00403-2

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