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• W2017859092 abstract "We present the results of a Monte Carlo study of the surfaces (or ``hulls'') of percolation clusters in three dimensions. The hulls were generated directly by a growing self-avoiding surface, called the smart kinetic surface, which is a generalization of the smart kinetic walk from two dimensions to three. We find that the fractal dimension of the hull at the percolation threshold is D'=2.548ifmmodepmelsetextpmfi{}0.014. Two other hull critical exponents were measured directly; we obtained ensuremath{tau}'=2.19ifmmodepmelsetextpmfi{}0.01 and ensuremath{gamma}'=1.77ifmmodepmelsetextpmfi{}0.02. These results are in accord with scaling laws which relate the hull exponents, and with a heuristic argument which suggests that the bulk and hull critical exponents are equal. The properties of percolation hulls determine the scaling behavior of transport, adsorption, and catalytic processes taking place at the surface of sintered metal powders." @default.
• W2017859092 created "2016-06-24" @default.
• W2017859092 creator A5029132658 @default.
• W2017859092 creator A5050848787 @default.
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• W2017859092 date "1991-07-01" @default.
• W2017859092 modified "2023-10-10" @default.
• W2017859092 title "Surfaces of percolation clusters in three dimensions" @default.
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• W2017859092 doi "https://doi.org/10.1103/physrevb.44.76" @default.
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