Kinetics of reversible polymerization |
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Authors: | P G J van Dongen M H Ernst |
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Institution: | (1) Institute for Theoretical Physics, State University, P.O. Box 80.006, 3508 TA Utrecht, The Netherlands |
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Abstract: | This paper extends the kinetic theory of irreversible polymerization (Smoluchowski's equation) by including fragmentation effects in such a way, that the most probable (equilibrium) size distribution from the classical polymerization theories is contained in our theory as the stationary distribution. The time-dependent cluster size distributionc
k
(a(t)) in Flory's polymerization modelsRA
f
andA
f
RB
g
, expressed in terms of the extent of reaction, has the same canonical form as in equilibrium, and the time dependence of(t) is determined from a macroscopic rate equation. We show that a gelation transition may or may not occur, depending on the value of the fragmentation strength, and, in case a phase transition takes place, we give Flory- and Stockmayer-type postgel distributions.Inspec numbers: 0550, 6460, 8235, 6475. |
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Keywords: | Reversible polymerization coagulation fragmentation RA
f
andA
f
RB
g
models gelation clustering aggregation |
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