Coexistence of spanning clusters in directed percolation

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dc.creatorSen, Parongama
dc.creatorBhattacharjee, Somendra M.
dc.date1998-04-27
dc.date.accessioned2026-07-07T03:10:24Z
dc.date.available2026-07-07T03:10:24Z
dc.descriptionThe 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 $P(n) \sim \exp(-αn^2)$. 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.
dc.description5 pages revtex including 4 figures, to appear in Physical Review Letters
dc.identifierhttps://arxiv.org/abs/cond-mat/9804282
dc.identifierhttp://arxiv.org/abs/cond-mat/9804282
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/28226
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleCoexistence of spanning clusters in directed percolation
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