Abstract
We suggest a new approach to the problem of taking account of many-body effects in the kinetics of diffusion-controlled reactions of the type A+B→Pr for the survival probability of particles A which uniformly describes the process within the entire time interval is obtained. It is shown that the conventional expression which was derived without regarding many-body effects always underestimates the probability of survival of parti stage of the process. At the asymptotically large times when the conventional expression appreciably lowers the survival probability the fluctuation as
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