A new class of long-tailed pausing time densities for the CTRW |
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| Authors: | Shlomo Havlin George H Weiss |
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| Institution: | (1) Department of Physics, Bar-Ilan University, 52100 Ramat Gan, Israel;(2) National Institutes of Health, 20892 Bethesda, Maryland |
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| Abstract: | We present some asymptotic results for the family of pausing time densities having the asymptotic (t  ) property (t)  t ln1+ (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 ln(t/T), and the asymptotic distribution of the displacement has a negative exponential form. |
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| Keywords: | Random walks anomalous diffusion disordered media |
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