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Exact Solution of the Cluster Size Distribution for Multi-polymer Coagulation Process |
| KE Jian-Hong;LIN Zhen-Quan;WANG Xiang-Hong |
| Department of Physics and Electronic Information Science, Wenzhou Normal College, Wenzhou 325027 |
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| Cite this article: |
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KE Jian-Hong, LIN Zhen-Quan, WANG Xiang-Hong 2003 Chin. Phys. Lett. 20 151-154 |
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Abstract We propose a simple irreversible multi-polymer coagulation model in which m polymers consist of multiple components bond spontaneously to form a larger cluster. We solve the generalized Smoluchowski rate equation with constant reaction rates to obtain the exact solution of the cluster size distribution. The results indicate that the evolution behaviour of the system depends crucially on the polymer number m of the coagulation reaction. The cluster concentrations decay as t-m/ (m-1)2, and the typical size S(t) of the m-polymer coagulation system grows as t1/(m-1). On the other hand, the cluster size distribution may approach unusual scaling form in some cases.
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| Keywords:
82.20.-w
68.43.Jk
89.75.Da
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Published: 01 January 2003
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| PACS: |
82.20.-w
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(Chemical kinetics and dynamics)
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68.43.Jk
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(Diffusion of adsorbates, kinetics of coarsening and aggregation)
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89.75.Da
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(Systems obeying scaling laws)
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