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- W2044870136 abstract "We propose an irreversible binary coagulation model with a constant-reaction-number kernel, in which, among all the possible binary coagulation reactions, only p reactions are permitted to take place at every time. By means of the generalized rate equation we investigate the kinetic behaviour of the system with the reaction rate kernel K(i;j) = (ij)ω (0⩽ω<1/2), at which an i-mer and a j-mer coagulate together to form a large one. It is found that for such a system there always exists a gelation transition at a finite time tc, which is in contrast to the ordinary binary coagulation with the same rate kernel. Moreover, the pre-gelation behaviour of the cluster size distribution near the gelation point falls in a scaling regime and the typical cluster size grows as (tc−t)−1/(1−2ω). On the other hand, our model can also provide some predictions for the evolution of the cluster distribution in multicomponent complex networks." @default.
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- W2044870136 date "2006-02-24" @default.
- W2044870136 modified "2023-09-22" @default.
- W2044870136 title "Pregelation Behaviour of Coagulation Processes with the Constant-Reaction-Number Kernel" @default.
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- W2044870136 doi "https://doi.org/10.1088/0256-307x/23/3/054" @default.
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