Anomalously slow trapping of nonidentical interacting particles by random sinks

Armin Bunde; Leo L. Moseley; H. Eugene Stanley; Daniel Ben-Avraham; Shlomo Havlin

doi:10.1103/physreva.34.2575

Anomalously slow trapping of nonidentical interacting particles by random sinks

Armin Bunde, Leo L. Moseley, H. Eugene Stanley, Daniel Ben-Avraham, Shlomo Havlin

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15 Scopus citations

Abstract

We find an anomalously slow trapping rate Q for trapping of nonidentical interacting particles in topologically linear systems with randomly distributed sinks which are selective for particles below a critical radius rS. The particles have an arbitrary size distribution and interact by a hard-core repulsion. Our quantitative result, Q∼exp(-At1/5), is general, and the amplitude A can be tuned since it depends on the concentration of the nontrappable particles.

Original language	English
Pages (from-to)	2575-2578
Number of pages	4
Journal	Physical Review A
Volume	34
Issue number	3
DOIs	https://doi.org/10.1103/physreva.34.2575
State	Published - 1986
Externally published	Yes

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title = "Anomalously slow trapping of nonidentical interacting particles by random sinks",

abstract = "We find an anomalously slow trapping rate Q for trapping of nonidentical interacting particles in topologically linear systems with randomly distributed sinks which are selective for particles below a critical radius rS. The particles have an arbitrary size distribution and interact by a hard-core repulsion. Our quantitative result, Q∼exp(-At1/5), is general, and the amplitude A can be tuned since it depends on the concentration of the nontrappable particles.",

author = "Armin Bunde and Moseley, {Leo L.} and Stanley, {H. Eugene} and Daniel Ben-Avraham and Shlomo Havlin",

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AU - Moseley, Leo L.

AU - Stanley, H. Eugene

AU - Ben-Avraham, Daniel

AU - Havlin, Shlomo

PY - 1986

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AB - We find an anomalously slow trapping rate Q for trapping of nonidentical interacting particles in topologically linear systems with randomly distributed sinks which are selective for particles below a critical radius rS. The particles have an arbitrary size distribution and interact by a hard-core repulsion. Our quantitative result, Q∼exp(-At1/5), is general, and the amplitude A can be tuned since it depends on the concentration of the nontrappable particles.

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Anomalously slow trapping of nonidentical interacting particles by random sinks

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