Tiger and Rabbits: a single trap and many random walkers

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

Physica A: Statistical Mechanics and its Applications, 1999, vol. 266, issue 1, 280-290

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.

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:266:y:1999:i:1:p:280-290

DOI: 10.1016/S0378-4371(98)00604-9

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