Abstract
The surfaces of large clusters above the critical concentrationp c were Monte Carlo-simulated on a 2-dimensional square lattice. We study the widthW of the interface separating the interior of very large clusters from the outside region. The results show clearly surface roughening (at least in the simulated range). Even in the high concentration limitp→1 the interface widthW increases with the lengthL of the simulated interface, following (presumably) a square root law.
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Franke, H. Surface roughening for two-dimensional percolation abovep c . Z. Physik B - Condensed Matter 40, 61–63 (1980). https://doi.org/10.1007/BF01295071
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DOI: https://doi.org/10.1007/BF01295071