Abstract
The discrete coagulation-fragmentation equations are a model for the kinetics of cluster growth in which clusters can coagulate via binary interactions to form larger clusters or fragment to form smaller ones. The assumptions made on the fragmentation coefficients have the physical interpretation that surface effects are important. Our results on the asymptotic behavior of solutions generalize the corresponding results of Ball, Carr, and Penrose for the Becker-Doring equation.
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Dedicated to Oliver Penrose on the occasion of his 65th birthday
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Carr, J., da Costa, F.P. Asymptotic behavior of solutions to the coagulation-fragmentation equations. II. Weak fragmentation. J Stat Phys 77, 89–123 (1994). https://doi.org/10.1007/BF02186834
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DOI: https://doi.org/10.1007/BF02186834