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

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Abstract

We present some asymptotic results for the family of pausing time densities having the asymptotic (t→∞) propertyψ(t) ∼ [t ln1+γ(t/T)]−1. In particular, we show that for this class of pausing time densities the mean-squared displacement 〈r 2(t)〉 is asymptotically proportional to lnγ(t/T), and the asymptotic distribution of the displacement has a negative exponential form.

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Authors and Affiliations

  1. Department of Physics, Bar-Ilan University, 52100, Ramat Gan, Israel

    Shlomo Havlin

  2. National Institutes of Health, 20892, Bethesda, Maryland

    Shlomo Havlin & George H. Weiss

Authors
  1. Shlomo Havlin
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  2. George H. Weiss
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Havlin, S., Weiss, G.H. A new class of long-tailed pausing time densities for the CTRW. J Stat Phys 58, 1267–1273 (1990). https://doi.org/10.1007/BF01026577

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  • DOI: https://doi.org/10.1007/BF01026577

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