Abstract
The statistical theory of gelation in the simplest process of the non-random polycondensation (S. I. Kuchanov, T. V. Zharnikov, J. Stat. Phys., 111(5/6), 1273 (2003)) has been refined as to be able to take into account the effect of a monomer configuration on topological characteristics of the polymer network of the gel. Proceeding from the kinetic analysis of such a polycondensation, we rigorously prove that it can be described in terms of some stochastic branching process. The parameters of the process depend on the overall number of functional groups in the monomer as well as on the pattern of their mutual arrangement. Examples of some model systems illustrate the effect of kinetic and configurational factors on the topology of a polymer network formed in the course of non-random polycondensation.
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Kuchanov, S.I., Tarasevich, K.V. & Zharnikov, T.V. Configurational Effects in Statistical Theory of Branched Non-Random Polycondensation. J Stat Phys 122, 875–908 (2006). https://doi.org/10.1007/s10955-005-9016-4
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DOI: https://doi.org/10.1007/s10955-005-9016-4