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Article overview
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Arrival statistics and exploration properties of mortal walkers | | Santos B. Yuste
; E. Abad
; Katja Lindenberg
; | | Date: |
10 Aug 2013 | | Abstract: | We study some of the salient features of the arrival statistics and explo-
ration properties of mortal random walkers, that is, walkers that may die as
they move, or as they wait to move. Such evanescence or death events have
profound consequences for quantities such as the number of distinct sites
visited which are relevant for the computation of encounter- controlled rates
in chemical kinetics. We exploit the observation that well-known methods
developed decades ago for immortal walkers are widely applicable to mortal
walkers. The particular cases of exponential and power-law evanescence are
considered in detail. Finally, we discuss the relevance of our results to the
target problem with mortal traps and a particular application thereof, namely,
the defect di?usion model. Evanescence of defects is postulated as a possible
complementary contri- bution or perhaps even an alternative to anomalous
di?usion to explain observed stretched exponential relaxation behavior. | | Source: | arXiv, 1308.2267 | | Services: | Forum | Review | PDF | Favorites | |
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