Multiple invasion percolation / Percolação por invasão múltipla.

AUTOR(ES)

Reginaldo Aparecido Zara

DATA DE PUBLICAÇÃO

1996

RESUMO

We generalize the standard site invasion percolation model to permit simultaneous invasion of several sites. We propose two kinds of generalizations: one in which the invasion flux is controlled by the perimeter size and another where the scaling properties command the growth process. The acceptance profile as well as the fractal dimension D IND.Fare carefully studied. In the model based on scaling relation, D IND.Fcan be treated as a mere real parameter in the range (0, ?). In the intervals (0, 91 SOB.48) and (2, ?) the system is frustrated. For D IND.F>2 the model exhibits also an interesting burst phenomenon that is explained in the text. In the region [91 SOB.48,2], the clusters obey exactly and in any scale the relation M ~ RgDF between the mass M and gyration radius Rg. These stable random fractals may be very useful in the study of dilute systems.

ASSUNTO(S)

percolação meios porosos percolation porous media fluid flow escoamento de fluidos

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