The N-steps invasion percolation model

Reginaldo A Zara and Roberto N Onody

Physica A: Statistical Mechanics and its Applications, 2000, vol. 277, issue 1, 1-11

Abstract: 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.

Keywords: Invasion percolation; Fractal dimension; Universality (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:277:y:2000:i:1:p:1-11

DOI: 10.1016/S0378-4371(99)00477-X

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