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Directed percolation with an absorbing boundary

K. B. Lauritsen, K. Sneppen, M. Markosova, M. H. Jensen

Published 1997-07-10Version 1

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 in 1+1 dimension. In addition, we investigate the backbone cluster and red bonds, and calculate the distribution of living sites along the absorbing boundary.

Comments: 10 latex pages, including 4 figures
Journal: Physica A 247, 1-9 (1997).
Categories: cond-mat.stat-mech
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