Bogachev, LV, Molchanov, SA, Makhnovskii, YA et al. (1 more author) (2000) Correlation effects in the trapping problem: general approach and rigorous results. In: Gesztesy, F, Holden, H, Jost, J, Paycha, S, Röckner, M and Scarlatti, S, (eds.) Stochastic Processes, Physics and Geometry: New Interplays. II: A Volume in Honor of Sergio Albeverio. CMS Conference Proceedings Series, 29 . American Mathematical Society , 29 - 42. ISBN 978-0-8218-1959-3
Abstract
The problem of Brownian survival among randomly located traps is considered with emphasis on the role of trap correlations. We proceed from the general representation of the survival probability as the expected value of the emptiness probability function applied to the Wiener sausage. Using the definition of (pure) trap attraction vs. repulsion in terms of the emptiness probability function, we prove the physical conjecture about the trapping slowdown or acceleration, according to the “sign” of correlations. Two specific models are studied along this line, in which the emptiness probability can be found explicitly; in particular, the long-time survival asymptotics is derived. A remarkable correlation effect of the survival probability dependence on the trap size in one dimension is also discussed.
Metadata
Item Type: | Book Section |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | (c) 2000, American Mathematical Society. This is an author produced version of a paper published in Stochastic Processes, Physics and Geometry: New Interplays. II. Uploaded in accordance with the publisher's self-archiving policy |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Statistics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 17 Mar 2015 09:29 |
Last Modified: | 22 Aug 2015 11:13 |
Published Version: | http://www.ams.org/bookstore-getitem/item=CMSAMS-2... |
Status: | Published |
Publisher: | American Mathematical Society |
Series Name: | CMS Conference Proceedings Series |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:83414 |