%0 Journal Article
%T The N-steps Invasion Percolation Model
%A Reginaldo A. Zara
%A Roberto N. Onody
%J Physics
%D 1999
%I arXiv
%R 10.1016/S0378-4371(99)00477-X
%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.
%U http://arxiv.org/abs/cond-mat/9910416v1