Directed percolation with an absorbing boundary

Details Directed percolation with an absorbing boundary Directed percolation with an absorbing boundary

1997-07-10

arxiv.org/abs/cond-mat/9707098v1

Physica A 247, 1-9 (1997).

Physics

Condensed Matter

Statistical Mechanics

10 latex pages, including 4 figures

Scientific paper

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.

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