Chin. Phys. Lett.  2004, Vol. 21 Issue (5): 972-975    DOI:
Original Articles |
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.
Keywords: 82.20.-w      05.40.-a      68.43.Jk      89.75.Da     
Published: 01 May 2004
PACS:  82.20.-w (Chemical kinetics and dynamics)  
  05.40.-a (Fluctuation phenomena, random processes, noise, and Brownian motion)  
  68.43.Jk (Diffusion of adsorbates, kinetics of coarsening and aggregation)  
  89.75.Da (Systems obeying scaling laws)  
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https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2004/V21/I5/0972
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