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Percolation in two-scale porous media |
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| Authors: | VV Mourzenko J-F Thovert PM Adler |
| Institution: | (1) LCD-PTM, SP2MI, BP 179, 86960 Futuroscope Cedex, France, FR;(2) IPGP, tour 24, 4 Place Jussieu, 75252 Paris Cedex 05, France, FR;(3) EPFL, 1015 Lausanne, Switzerland, CH |
| Abstract: | 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. Received 17 August 2000 |
| Keywords: | 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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