Kinetics of a diffusive capture process: lamb besieged by a pride of lions
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) is proportional to t^{-beta_N}, …