%0 Journal Article %T Dynamic scaling of migration-driven aggregate growth %A Ke Jian-Hong %A Wang Xiang-Hong %A Lin Zhen-Quan %A Zhuang You-Yi %A
柯见洪 %A 王向红 %A 林振权 %A 庄友谊 %J 中国物理 B %D 2004 %I %X We study the kinetic behaviour of the growth of aggregates driven by reversible migration between any two aggregates. For a simple model with the migration rate K(i;j)=K′(i;j)∝i^uj^v at which the monomers migrate from the aggregates of size i to those of size j, we find that the aggregate size distribution in the system with u+v≤3 and u<2 approaches a conventional scaling form, which reduces to the Smoluchovski form in the u=1 case. On the other hand, for the system with u<2, the average aggregate size S(t) grows exponentially in the u+v=3 case and as (tlnt)^{1/(5-2u)} in another special case of v=u-2. Moreover, this typical size S(t) grows as t^{1/(3-u-v)} in the general u-2 %K kinetic behaviour %K migration %K aggregate growth %K scaling law
动力学定标 %K 迁移 %K 聚合体生长 %K 定标规则 %K 边界条件 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=CD8D6A6897B9334F09D8D1648C376FB4&aid=3A2187390353DC7198A72AD6414A978F&yid=D0E58B75BFD8E51C&vid=FC0714F8D2EB605D&iid=94C357A881DFC066&sid=FAC9AF09A23B46DD&eid=583C993D4E08F5CE&journal_id=1009-1963&journal_name=中国物理&referenced_num=0&reference_num=35