Survival probability and fluctuations in random trapping models |
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| Affiliation: | 1. Brain Development and Disease Laboratory, Istituto Italiano di Tecnologia, via Morego, 30, 16163 Genoa, Italy;2. Dulbecco Telethon Institute, 00185 Rome, Italy;3. Molecular Modeling and Drug Discovery Laboratory, Istituto Italiano di Tecnologia, via Morego, 30, 16163 Genoa, Italy |
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| Abstract: | Through a very simple treatment we have constructed a lower bound for the statistical fluctuations of the survival probability of particles moving diffusively in a medium with random traps. We show that in the asymptotic regime the total survival probability is a non-self averaging quantity, in that the fluctuations dominate the mean value. |
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