Some results for a cluster-monomer model of aggregation with fragmentation
Por:
Chávez F., Moreau M., Vicente L.
Publicada:
1 ene 1997
Resumen:
We study analytic and numerical solutions for a model for the dynamics of cluster growth with fragmentation. The model is restricted to a process involving a monomer-cluster reaction and the cluster of N particles cannot adsorb particles, it can only split up, that is, the XN cluster is unstable, and for mathematical convenience we propose that it is split up mainly into monomers. In this model both coagulation and fragmentation processes scale with cluster size. Both sourceless and with-source evolutions are discussed. Our analysis shows that in the with-source case the final evolution for the concentrations is of the form t1/2 for Xn(n < N) and linear on t for XN. By comparison, when there is no restriction to the maximum size for polymers and no dissociation the evolution goes asymptotically as Xn ? e-? = 1/t.
Filiaciones:
Chávez F.:
Depto. de Fis. y Quim. Teor., Facultad de Química, UNAM, 04510 México, DF, Mexico
Moreau M.:
Lab. de Phys. Theor. des Liquides, Univ. Pierre et Marie Curie, 4 Place Jussieu, 75252 Paris Cedex 05, France
Vicente L.:
Lab. de Phys. Theor. des Liquides, Univ. Pierre et Marie Curie, 4 Place Jussieu, 75252 Paris Cedex 05, France
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