Monomer Migration and Annihilation Processes |
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Authors: | KE Jian-Hong LIN Zhen-Quan ZHUANG You-Yi |
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Institution: | School of Physics and Electronic Information, Wenzhou Normal College, Wenzhou 325027, China |
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Abstract: | We propose a two-species monomer migration-annihilation model, in
which monomer migration reactions occur between any two aggregates
of the same species and monomer annihilation reactions occur
between two different species. Based on the mean-field rate
equations, we investigate the evolution behaviors of the
processes. For the case with an annihilation rate kernel
proportional to the sizes of the reactants, the aggregation size
distribution of either species approaches the modified scaling
form in the symmetrical initial case, while for the asymmetrical
initial case the heavy species 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
scale according to the conventional scaling law in the symmetrical
case and survive together at the end. |
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Keywords: | kinetic behavior migration annihilation scaling law |
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