We study the kinetics of an irreversible aggregation model with removal term. We solve the mean-field rate equation to obtain the general solution of the cluster-mass distribution for the case with arbitrary time-dep...We study the kinetics of an irreversible aggregation model with removal term. We solve the mean-field rate equation to obtain the general solution of the cluster-mass distribution for the case with arbitrary time-dependent remora/probability P(t). In particular, we analyze the scaling properties of the cluster distribution in the case with P(t)=u(t+t0)^v and find that the cluster-mass distribution always obeys a scaling law. We also investigate the kinetic behavior of another simple system, in which the removal probability of a cluster is proportional to its mass, and the results indicate that for this system the scaring description of the cluster-mass distribution breaks down completely.展开更多
文摘We study the kinetics of an irreversible aggregation model with removal term. We solve the mean-field rate equation to obtain the general solution of the cluster-mass distribution for the case with arbitrary time-dependent remora/probability P(t). In particular, we analyze the scaling properties of the cluster distribution in the case with P(t)=u(t+t0)^v and find that the cluster-mass distribution always obeys a scaling law. We also investigate the kinetic behavior of another simple system, in which the removal probability of a cluster is proportional to its mass, and the results indicate that for this system the scaring description of the cluster-mass distribution breaks down completely.
