Number of distinct sites visited by N particles diffusing on a fractal

Shlomo Havlin; Hernan Larralde; Paul Trunfio; James E. Kiefer; H. Eugene Stanley; George H. Weiss

doi:10.1103/physreva.46.r1717

Number of distinct sites visited by N particles diffusing on a fractal

Shlomo Havlin, Hernan Larralde, Paul Trunfio, James E. Kiefer, H. Eugene Stanley, George H. Weiss

Department of Physics - at Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

We study the mean number of distinct sites, SN(t), visited up to time t by N1 noninteracting random walkers all starting from the same origin on a fractal substrate of dimension df. Using analytic arguments and numerical simulations, we find SN(t)∼(lnN)fd/δtsd/2 for fractals with spectral dimension ds==2df/dw<2, where δ==dw/(dw-1) and dw is the fractal dimension of a random walk.

Original language	English
Pages (from-to)	R1717-R1719
Journal	Physical Review A
Volume	46
Issue number	4
DOIs	https://doi.org/10.1103/physreva.46.r1717
State	Published - 1992

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10.1103/physreva.46.r1717

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AU - Weiss, George H.

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Number of distinct sites visited by N particles diffusing on a fractal

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