Kinetics of a Diffusive Capture Process: Lamb Besieged by a Pride of Lions

Preprint

28 March 1996

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9603176

Abstract

The survival probability, S_N(t), of a diffusing prey (``lamb'') in the proximity of N diffusing predators (a ``pride of lions'') in one dimension is investigated. When the lions are all to one side of the lamb, the survival probability decays as a non-universal power law, S_N(t) is proportional to t^{-beta_N}, with the decay exponent beta_N proportional to ln N. The crossover behavior as a function of the relative diffusivities of the lions and the lamb is also discussed. When N--->oo, the lamb survival probability exhibits a log-normal decay, exp(-ln^2 t).

Keywords

BEHAVIOR AS A FUNCTION
DIFFUSIVE CAPTURE
PRIDE OF LIONS
LAMB BESIEGED
DIFFUSING
PREDATORS
KINETICS
S_N

All Related Versions

Version 1, 1996-03-28, ArXiv
Published version: Journal of Physics A: General Physics, 29 (17), 5347.

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