@article {IOPORT.05582679, author = {Ke, Jian-Hong and Lin, Zhen-Quan and Zhuang, You-Yi}, title = {Scaling behavior of an aggregation-migration model.}, year = {2004}, journal = {Communications in Theoretical Physics}, volume = {41}, number = {5}, issn = {0253-6102}, pages = {781-786}, publisher = {Institute of Theoretical Physics of the Chinese Academy of Sciences and the Chinese Physical Society, Beijing; IOP Publishing, Bristol}, abstract = {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.}, identifier = {05582679}, }