Stochastic analysis of the asymptotic kinetics of multi-particle spurs

Abstract

Analyses are presented of the long-time asymptotic kinetics of spur reactions in the absence of scavenger, and of the asymptotic concentration dependence of the scavenging yield. The results show no dependence on the initial spatial distribution of the particles apart from that inherent in the escape yield. However, the asymptotics are shown to provide further information about the probability distribution of the numbers of particles escaping, and hence to provide an indirect probe of the initial number distribution.