Abstract

By describing the bimolecular kinetics a multiparticle problem is solved. The state of the system is described not by the mean number of particles (or concentration), but by the set of probabilities P N ( t), N=0, 1, 2, …, N 0, that the system consists of N particles. This is especially important for systems comprised of a small number of particles grouped into clusters or spurs. The probabilities P N ( t) are interrelated by balance equations. The rates of transfer of the system between states with different N depend on the spatial distribution of particles and are calculated in a biparticle approximation. The theoretical results are compared with a Monte Carlo simulation of the kinetics. The fluctuational asymptote of bimolecular kinetics at long times is also discussed.

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