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Probability densities for the displacement of random walks on percolation clusters

S Havlin, D Movshovitz, B Trus and G H Weiss

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The probability density of the displacement or end-to-end distance of a random walk on the incipient infinite percolation cluster in d=2 dimensions is studied by an exact enumeration method. The numerical data suggest specific forms for the probability density both in the chemical distance variable l and the geometric distance r.


PACS

05.40.Fb Random walks and Levy flights

05.50.+q Lattice theory and statistics (Ising, Potts, etc.)

02.50.Cw Probability theory

MSC

60Exx Distribution theory (See also 62Exx, 62Hxx)

82B43 Percolation (See also 60K35)

82B41 Random walks, random surfaces, lattice animals, etc. (See also 60G50, 82C41)

Subjects

Computational physics

Statistical physics and nonlinear systems

Dates

Issue 12 (21 August 1985)



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