Kinetics of a Di usive Capture Process: Lamb Besieged by a Pride of Lions
نویسنده
چکیده
The survival probability, S N (t), of a diiusing prey (\lamb") in the proximity of N diiusing 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) / t ? N , with the decay exponent N proportional to ln N. The crossover behavior as a function of the relative diiusivities of the lions and the lamb is also discussed. When N ! 1, the lamb survival probability exhibits a log-normal decay, S 1 (t) / exp(? ln 2 t).
منابع مشابه
Kinetics of a diffusive capture process: lamb besieged by a pride of lions
The survival probability, SN(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, SN(t) ∝ t−βN , with the decay exponent βN proportional to ln N . The crossover behaviour as a function of the relative diffusivi...
متن کاملar X iv : c on d - m at / 9 60 31 76 v 1 2 8 M ar 1 99 6 Kinetics of a Diffusive Capture Process : Lamb Besieged by a Pride of Lions
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) ∝ t −β N , with the decay exponent β N proportional to ln N. The crossover behavior as a function of the relative ...
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