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Predicting multidimensional distributive properties of hyperbranched polymer resulting from AB2 polymerization with substitution, cyclization and shielding

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arxiv 1305.1034 v1 pith:OB5WDYFQ submitted 2013-05-05 math-ph cs.NAmath.MPmath.NA

classification math-phcs.NAmath.MPmath.NA
keywords polymerizationcyclizationhyperbranchedmultidimensionalshieldingsolutionsubstitutionaccounting
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A deterministic mathematical model for the polymerization of hyperbranched molecules accounting for substitution, cyclization, and shielding effect has been developed as a system of nonlinear population balances. The solution obtained by a novel approximation method shows perfect agreement with the analytical solution in limiting cases and provides, for the first time in this class of polymerization problems, full multidimensional results.

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