Directed percolation with an absorbing boundary
Statistical Mechanics
2015-06-25 v1
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.
Cite
@article{arxiv.cond-mat/9707098,
title = {Directed percolation with an absorbing boundary},
author = {K. B. Lauritsen and K. Sneppen and M. Markosova and M. H. Jensen},
journal= {arXiv preprint arXiv:cond-mat/9707098},
year = {2015}
}
Comments
10 latex pages, including 4 figures