Capture of the Lamb: Diffusing Predators Seeking a Diffusing Prey
Statistical Mechanics
2009-10-31 v1 q-bio
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/9905299,
title = {Capture of the Lamb: Diffusing Predators Seeking a Diffusing Prey},
author = {S. Redner and P. L. Krapivsky},
journal= {arXiv preprint arXiv:cond-mat/9905299},
year = {2009}
}
Comments
11 pages, 6 figures, Invited paper for American Journal of Physics