Directed compact percolation: cluster size and hyperscaling
نویسندگان
چکیده
منابع مشابه
Analysis of mean cluster size in directed compact percolation near a damp wall
We investigate the behaviour of the mean size of directed compact percolation clusters near a damp wall in the low-density region, where sites in the bulk are wet (occupied) with probability p while sites on the wall are wet with probability pw. Methods used to find the exact solution for the dry case (pw = 0) and the wet case (pw = 1) turn out to be inadequate for the damp case. Instead we use...
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The percolation probability for directed, compact percolation near a damp wall, which interpolates between the previously examined cases, is derived exactly. We find that the critical exponent β = 2 in common with the dry wall, rather than the value previously found in the wet wall and bulk cases. The solution is found via a mapping to a particular model of directed walks. We evaluate the exact...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 1989
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/22/22/020