1998/04/27 by Parongama Sen, Sen, Parongama, Somendra M. Bhattacharjee +1
Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #Opinion Dynamics and Social Influence #Stochastic processes and statistical mechanics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/9804282
5 pages revtex including 4 figures, to appear in Physical Review Letters
arxiv created 1998/04/27 · arxiv updated 2009/11/30
The probability distribution for the number of top to bottom spanning clusters in Directed percolation in two and three dimensions appears to be universal and is of the form P(n) ∼ exp(-αn2). We argue that α is a new critical quantity vanishing at the upper critical dimension. The probability distribution of the individual masses of the spanning clusters is found to have a Pearson distribution with a lower cutoff. Various properties of the clusters are reported.