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\iteman{io-port 05582679}
\itemau{Ke, Jian-Hong; Lin, Zhen-Quan; Zhuang, You-Yi}
\itemti{Scaling behavior of an aggregation-migration model.}
\itemso{Commun. Theor. Phys. 41, No. 5, 781-786 (2004).}
\itemab
Summary: We study the kinetic behavior of a two-species aggregation-migration model in which an irreversible aggregation occurs between any two clusters of the same species and a reversible migration occurs simultaneously between two different species. For a simple model with constant aggregation rates and with the migration rates $K_{A}(i;j)=K'_{A}(i;j) \alpha ij^{(v_{1})}$ and $K_{B}(i;j)=K'_{B}(i;j) \alpha ij^{(v_{2})}$, we find that the evolution behavior of the system depends crucially on the values of the indexes $v_1$ and $v_2$. The aggregate size distribution of either species obeys a conventional scaling law for most cases. Moreover, we also generalize the two-species system to the multi-species case and analyze its kinetic behavior under the symmetrical conditions.
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\itemcc{}
\itemut{kinetic behavior; aggregation-migration process; scaling law}
\itemli{}
\end