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

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, .

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