CORRELATION EFFECTS IN THE TRAPPING PROBLEEM: GENERAL APPROACH AND EXACT RESULTS

Авторы: Bogachev L.V., Molchanov S.A., Makhnovskii Yu A., Berezhkovskii A.M.
Сборник: Stochastic Processes, Physics and Geometry: New Interplays II: A Volume in Honor of Sergio Albeverio
Серия: CMS Conference Proceedings
Том: 29
Год издания: 2000
Издательство: Canadian Mathematical Society
Местоположение издательства: Canada
Первая страница: 29
Последняя страница: 42
Аннотация: 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 de ̄nition of (pure) trap attraction vs. repulsion in terms of the empti- ness 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 e®ect of the survival probability dependence on the trap size in one dimension is also discussed.
Добавил в систему: Махновский Юрий Абрамович

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