Percolation in two-scale porous media

被引：0
|
作者：
V.V. Mourzenko
J.-F. Thovert
P.M. Adler
机构：
[1] LCD-PTM,
[2] SP2MI,undefined
[3] BP 179,undefined
[4] 86960 Futuroscope Cedex,undefined
[5] France,undefined
[6] IPGP,undefined
[7] tour 24,undefined
[8] 4 Place Jussieu,undefined
[9] 75252 Paris Cedex 05,undefined
[10] France,undefined
[11] EPFL,undefined
[12] 1015 Lausanne,undefined
[13] Switzerland,undefined
来源：
The European Physical Journal B - Condensed Matter and Complex Systems | 2001年 / 19卷
关键词：
PACS. 61.43.Gt Powders, porous materials – 61.43.Hv Fractals; macroscopic aggregates (including diffusion-limited aggregates) – 64.60.Ak Renormalization-group, fractal, and percolation studies of phase transitions;
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学科分类号：
摘要：
Two-scale porous media are generated by filtering a Gaussian random correlated field with a random correlated threshold field. The percolation threshold and the critical exponent ν are derived with the help of a finite-size scaling method. The percolation threshold for the three-dimensional media is a decreasing function of the variance and correlation length of the threshold field. A simplified model predicts these trends in 3d; moreover, it suggested some effects in 2d which were all numerically verified.
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页码：75 / 85
页数：10
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