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Dynamic scaling of migration-driven aggregate growth
作者姓名:柯见洪  王向红  林振权  庄友谊
作者单位:School of Physics and Electronic Information, Wenzhou Normal College, Wenzhou 325027, China;School of Physics and Electronic Information, Wenzhou Normal College, Wenzhou 325027, China;School of Physics and Electronic Information, Wenzhou Normal College, Wenzhou 325027, China;School of Physics and Electronic Information, Wenzhou Normal College, Wenzhou 325027, China
基金项目:Project supported by the National Natural Science Foundation of China (Grant Nos 10305009, 10275048 and 10175008) and by the Zhejiang Provincial Natural Science Foundation of China (Grant Nos 102067 and 101002).
摘    要: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
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Dynamic scaling of migration-driven aggregate growth
Ke Jian-Hong,Wang Xiang-Hong,Lin Zhen-Quan and Zhuang You-Yi.Dynamic scaling of migration-driven aggregate growth[J].Chinese Physics B,2004,13(5):772-777.
Authors:Ke Jian-Hong  Wang Xiang-Hong  Lin Zhen-Quan and Zhuang You-Yi
Abstract:
Keywords:kinetic behaviour  migration  aggregate growth  scaling law
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