Percolação direcionada em redes regulares bidimensionais. / Directed percolation on two-dimensional regular lattices.

AUTOR(ES)

Ubiraci Pereira da Costa Neves

DATA DE PUBLICAÇÃO

1992

RESUMO

Using a transfer matrix technique we obtain an extended series expansion of the percolation probability P(q) for the directed site percolation problem on the square lattice. Our method reveals an up to now unsuspected connection between this problem and the enumeration of the ways of dissecting a ball. We show that the method can also be used to determine a series expansion for the mean cluster size S(p). An analysis based on Padé approximants gives estimates of the critical threshold pc, and also of the critical exponent β.

ASSUNTO(S)

transfer matrix percolação aproximantes de padé padé approximants matriz de transferência percolation

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