A new class of long-tailed pausing time densities for the CTRW

Shlomo Havlin; George H. Weiss

doi:10.1007/bf01026577

A new class of long-tailed pausing time densities for the CTRW

Shlomo Havlin, George H. Weiss

Department of Physics - at Bar-Ilan University

National Institutes of Health

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

42 Scopus citations

Abstract

We present some asymptotic results for the family of pausing time densities having the asymptotic (t→∞) property ψ(t) ∼ [t ln^1+γ(t/T)]^-1. In particular, we show that for this class of pausing time densities the mean-squared displacement 〈r²(t)〉 is asymptotically proportional to ln^γ(t/T), and the asymptotic distribution of the displacement has a negative exponential form.

Original language	English
Pages (from-to)	1267-1273
Number of pages	7
Journal	Journal of Statistical Physics
Volume	58
Issue number	5-6
DOIs	https://doi.org/10.1007/bf01026577
State	Published - Mar 1990

Keywords

Random walks
anomalous diffusion
disordered media

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10.1007/bf01026577

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AB - We present some asymptotic results for the family of pausing time densities having the asymptotic (t→∞) property ψ(t) ∼ [t ln1+γ(t/T)]-1. In particular, we show that for this class of pausing time densities the mean-squared displacement 〈r2(t)〉 is asymptotically proportional to lnγ(t/T), and the asymptotic distribution of the displacement has a negative exponential form.

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KW - disordered media

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A new class of long-tailed pausing time densities for the CTRW

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