Improved kinetic description of fast relaxation of cylindrical micelles

L.Ts. Adzhemyan, Yu.A. Eroshkin, A.K. Shchekin and I.A. Babintsev

Physica A: Statistical Mechanics and its Applications, 2019, vol. 518, issue C, 299-311

Abstract: On the basis of the linearized analytical and numerical kinetic description of stepwise aggregation of surfactant aggregates, the hierarchical relaxation times have been found for a polydisperse micellar system close and above the critical micellar concentration. The description was based on the difference and differential Becker–Döring kinetic equations with using a specific boundary condition and improved models for the attachment rates of surfactant monomers to cylindrical aggregates. Two models have been considered: the linear model for cylindrical aggregates and the attachment rate to elongated spheroidal aggregates. The rate of attachment of monomers to an elongated spheroidal aggregate was found explicitly as a function of the aggregation number. With applying the truncation techniques, the analytical solution of differential kinetic equations for fast relaxation of polydisperse micellar systems has been obtained for a linear model of the aggregation rate. In the case of the attachment rate for an elongated spheroidal aggregate, the semi-analytical solution has been found.

Keywords: Cylindrical micelles; Kinetics; Aggregation; Self-assembly and disassembly; Becker–Döring equation; Relaxation (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:518:y:2019:i:c:p:299-311

DOI: 10.1016/j.physa.2018.11.057

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