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Directed percolation with an absorbing boundary

K. B. Lauritsen·K. Sneppen·M. Markosova·M. H. Jensen
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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 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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K. B. Lauritsen, K. Sneppen, M. Markosova, M. H. Jensen. 1997-07-10. Directed percolation with an absorbing boundary. https://doi.org/10.1016/s0378-4371(97)00403-2

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