The N-steps Invasion Percolation Model

Details The N-steps Invasion Percolation Model The N-steps Invasion Percolation Model

1999-10-26

arxiv.org/abs/cond-mat/9910416v1

Physics

Condensed Matter

Statistical Mechanics

LaTeX file, 12 pages, 5 ps figures, to appear in Physica A

Scientific paper

10.1016/S0378-4371(99)00477-X

A new kind of invasion percolation is introduced in order to take into account the inertia of the invader fluid. The inertia strength is controlled by the number N of pores (or steps) invaded after the perimeter rupture. The new model belongs to a different class of universality with the fractal dimensions of the percolating clusters depending on N. A blocking phenomenon takes place in two dimensions. It imposes an upper bound value on N. For pore sizes larger than the critical threshold, the acceptance profile exhibits a permanent tail.

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