Capture of the Lamb: Diffusing Predators Seeking a Diffusing Prey

Details Capture of the Lamb: Diffusing Predators Seeking a Diffusing Prey Capture of the Lamb: Diffusing Predators Seeking a Diffusing Prey

1999-05-20

arxiv.org/abs/cond-mat/9905299v1

Am. J. Phys. 67, 1277-1283 (1999)

Physics

Condensed Matter

Statistical Mechanics

11 pages, 6 figures, Invited paper for American Journal of Physics

Scientific paper

10.1119/1.19115

We study the capture of a diffusing "lamb" by diffusing "lions" in one
dimension. The capture dynamics is exactly soluble by probabilistic techniques
when the number of lions is very small, and is tractable by extreme statistics
considerations when the number of lions is very large. However, the exact
solution for the general case of three or more lions is still not known.

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