Kinetics of a diffusive capture process: lamb besieged by a pride of lions
- 7 September 1996
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 29 (17) , 5347-5357
- https://doi.org/10.1088/0305-4470/29/17/011
Abstract
The survival probability, , 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, , with the decay exponent proportional to . The crossover behaviour as a function of the relative diffusivities of the lions and the lamb is also discussed. When , the lamb survival probability exhibits a log-normal decay, .Keywords
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This publication has 26 references indexed in Scilit:
- Vicious walkers and directed polymer networks in general dimensionsPhysical Review E, 1995
- Number of distinct sites visited byNrandom walkersPhysical Review A, 1992
- Probability of survival for vicious walkers near a cliffJournal of Physics A: General Physics, 1989
- The reunions of three dissimilar vicious walkersJournal of Statistical Physics, 1988
- Computer simulation methods for diffusion-controlled reactionsThe Journal of Chemical Physics, 1988
- Intermediate fluctuation regime for wetting transitions in two dimensionsJournal of Physics A: General Physics, 1988
- Walks, walls, wetting, and meltingJournal of Statistical Physics, 1984
- Commensurate melting, domain walls, and dislocationsPhysical Review B, 1984
- Random Walks: Theory and Selected ApplicationsPublished by Wiley ,1982
- Exit times of Brownian motion, harmonic majorization, and Hardy spacesAdvances in Mathematics, 1977