Tiger and rabbits: a single trap and many random walkers

Haim Taitelbaum; Zbigniew Koza; Tomer Yanir; George H. Weiss

doi:10.1016/s0378-4371(98)00604-9

Tiger and rabbits: a single trap and many random walkers

Haim Taitelbaum, Zbigniew Koza, Tomer Yanir, George H. Weiss

Department of Physics

Research output: Contribution to journal › Conference article › peer-review

9 Scopus citations

Abstract

We study a one-dimensional system with a single trap (Tiger) initially located at the origin, and many random-walkers (Rabbits) initially uniformly distributed throughout the infinite or the semi-infinite space. For a mobile imperfect trap, we study the spatiotemporal properties of the system, such as the trapping rate, the particle distribution and the segregation around the trap, all as a function of the diffusivities of both the trap and the walkers. For a static trap, we present results of various measures of segregation, in particular on a few types of disordered chains, such as random local bias fields (the Sinai model) and random transition rates.

Original language	English
Pages (from-to)	280-290
Number of pages	11
Journal	Physica A: Statistical Mechanics and its Applications
Volume	266
Issue number	1-4
DOIs	https://doi.org/10.1016/s0378-4371(98)00604-9
State	Published - 15 Apr 1999
Event	Proceedings of the 1998 International Conference on Percolation and Disordered Systems: Theory and Applications - Giessen, Ger Duration: 14 Jul 1998 → 17 Jul 1998

Bibliographical note

Funding Information:
Support by the Israel Science Foundation (HT) and the Polish KBN grant no. 2 P03B 059 12 (ZK) is gratefully acknowledged.

Funding

Support by the Israel Science Foundation (HT) and the Polish KBN grant no. 2 P03B 059 12 (ZK) is gratefully acknowledged.

Funders	Funder number
KBN	2 P03B 059 12
Israel Science Foundation

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10.1016/s0378-4371(98)00604-9

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abstract = "We study a one-dimensional system with a single trap (Tiger) initially located at the origin, and many random-walkers (Rabbits) initially uniformly distributed throughout the infinite or the semi-infinite space. For a mobile imperfect trap, we study the spatiotemporal properties of the system, such as the trapping rate, the particle distribution and the segregation around the trap, all as a function of the diffusivities of both the trap and the walkers. For a static trap, we present results of various measures of segregation, in particular on a few types of disordered chains, such as random local bias fields (the Sinai model) and random transition rates.",

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AU - Yanir, Tomer

AU - Weiss, George H.

N1 - Funding Information: Support by the Israel Science Foundation (HT) and the Polish KBN grant no. 2 P03B 059 12 (ZK) is gratefully acknowledged.

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Tiger and rabbits: a single trap and many random walkers

Abstract

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