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Dynamics of Aggregate Growth Through Monomer Birth and Death |
| KE Jian-Hong;LIN Zhen-Quan |
| School of Physics and Electronic Information, Wenzhou Normal College, Wenzhou 325027 |
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KE Jian-Hong, LIN Zhen-Quan 2004 Chin. Phys. Lett. 21 972-975 |
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Abstract We investigate the kinetic behaviour of the growth of aggregates through monomer birth and death and propose a simple model with the rate kernels K(k) ∝ ku and K'(k) ∝ kv at which the aggregate Ak of size k respectively yields and loses a monomer. For the symmetrical system with K(k) = K'(k), the aggregate size distribution approaches the conventional scaling form in the case of u < 2, while the system may undergo a gelation-like transition in the u > 2 case. Moreover, the typical aggregate size S(t) grows as t1/(2-u) in the u < 2 case and increases exponentially with time in the u = 2 case. We also investigate several solvable systems with asymmetrical rate kernels and find that the scaling of the aggregate size distribution may break down in most cases.
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| Keywords:
82.20.-w
05.40.-a
68.43.Jk
89.75.Da
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Published: 01 May 2004
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| PACS: |
82.20.-w
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(Chemical kinetics and dynamics)
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05.40.-a
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(Fluctuation phenomena, random processes, noise, and Brownian motion)
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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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