Direct interchange reaction in a homopolymer melt. Evolution of the MWD: an analytical solutionстатья
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Аннотация:Kinetics of a direct interchange reaction in a homopolymer melt is studied theoretically. Relaxation of the molecular weight distribution to its most probable (Flory) stationary form[1] is considered. To this end, the time-dependent generating function of the transient distribution is calculated analytically. Peculiarities of the relaxation process are investigated for two kinds of the initial distribution, namely, the sum of two Flory distributions with different number averages N1 and N1, and the delta-function. The former case describes a blend of two polydisperse polymers whereas the latter corresponds to a monodisperse melt. In each case, the dependencies of the differential molecular weight distribution and the weight- and z-average polymerization degrees on the number of interchanges per number average chain are obtained in the explicit form. Earlier studies of this problem are briefly discussed.