ar 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

نویسندگان

  • P. L. Krapivsky
  • S. Redner
چکیده

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 diffusivities of the lions and the lamb is also discussed. When N → ∞, the lamb survival probability exhibits a log-normal decay, S ∞ (t) ∝ exp(− ln 2 t).

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Kinetics of a diffusive capture process: lamb besieged by a pride of lions

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تاریخ انتشار 1996