2009
DOI: 10.1103/physreve.80.030107
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Target annihilation by diffusing particles in inhomogeneous geometries

Abstract: The survival probability of immobile targets, annihilated by a population of random walkers on inhomogeneous discrete structures, such as disordered solids, glasses, fractals, polymer networks and gels, is analytically investigated. It is shown that, while it cannot in general be related to the number of distinct visited points, as in the case of homogeneous lattices, in the case of bounded coordination numbers its asymptotic behaviour at large times can still be expressed in terms of the spectral dimension d,… Show more

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Cited by 2 publications
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“…Now we can proceed to the singularity analysis of e k ( ) in order to obtain the asymptotic behavior of k (t) by applying Tauberian theorems [9]. After some mathematics [8] , we get the …nal result (1…”
Section: The Target Decay Problemmentioning
confidence: 99%
“…Now we can proceed to the singularity analysis of e k ( ) in order to obtain the asymptotic behavior of k (t) by applying Tauberian theorems [9]. After some mathematics [8] , we get the …nal result (1…”
Section: The Target Decay Problemmentioning
confidence: 99%