3 research outputs found
Directed percolation with an absorbing boundary
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.Comment: 10 latex pages, including 4 figure