Monomer Migration and Annihilation Processes

来源 :Communications in Theoretical Physics | 被引量 : 0次 | 上传用户:fslihua
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We propose a two-species monomer migration-annihilation model, in which monomer migration reactionsoccur between any two aggregates of the same species and monomer annihilation reactions occur between two differentspecies. Based on the mean-field rate equations, we investigate the ewolution behaviors of the processes. For the case withan annihilation rate kernel proportional to the sizes of the reaetants, the aggregation size distribution of either speciesapproaches the modified scaling form in the symmetrical initial case, while for the asymmetrical initial case the heavyspecies with a large initial data scales according to the conventional form and the light one does not scale. Moreover,at most one species can survive finally, For the case with a constant annihilation rate kernel, both species may scaleaccording to the conventional scaling law in the symmetrical case and survive together at the end. We propose a two-species monomer migration-annihilation model, in which monomer migration reactionsoccur between any two aggregates of the same species and monomer annihilation reactions occur between two differentspecies. Based on the mean-field rate equations, we investigate the ewolution behaviors of the For the case withan annihilation rate kernel proportional to the sizes of the reaetants, the aggregation size distribution of either species approaches the modified scaling form in the symmetrical initial case, while for the asymmetrical initial case the heavyspecies with a large initial data scales according to the conventional form and the light one does not scale. Moreover, at most one species can survive finally, for the case with a constant annihilation rate kernel, both species may scaleaccording to the conventional scaling law in the symmetrical case and survive together at the end .
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