EFFECT OF POLYDISPERSITY ON BROWNIAN-PARTICLE TRAPPING BY CLUSTERS OF TRAPSстатья
Статья опубликована в высокорейтинговом журнале
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Дата последнего поиска статьи во внешних источниках: 3 мая 2017 г.
Аннотация:Brownian-particle survival is considered in the case when killing traps are gathered in spherical clusters distributed in space in a noncorrelated manner. Recently, we [J. Chem. Phys. 111, 711 (1999)] have proposed a mean-field theory of trapping by identical clusters of traps, in which the cluster radius R and the number of traps in a cluster n are the same for all of the clusters. Here we focus on a more realistic model, where the parameters R and n vary from one cluster to another, according to a given probabilistic law. For the model of polydisperse clusters, general expressions are obtained for the particle survival probability and the time-dependent rate coefficient. To exhibit the effect of polydispersity, we compare the trapping kinetics for polydisperse clusters with that for the reference system of identical clusters. It is shown, in particular, that fluctuations in n always lead to a process slowdown. An explicit solution is derived for slightly polydisperse nonoverlapping clusters.