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Survival probability and fluctuations in random trapping models

✍ Scribed by A.M. Jayannavar


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
394 KB
Volume
179
Category
Article
ISSN
0378-4371

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✦ Synopsis


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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We study the survival probability of a particle that performs a random walk in a medium with traps where the trapping strength V is distributed randomly. We use an approach which is asymptotically exact and brings Wn(s), the number of distinct sites s visited after n steps, into play. Particularly i