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Improved kinetic description of fast relaxation of cylindrical micelles

Author

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

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.

Suggested Citation

  • Adzhemyan, L.Ts. & Eroshkin, Yu.A. & Shchekin, A.K. & Babintsev, I.A., 2019. "Improved kinetic description of fast relaxation of cylindrical micelles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 518(C), pages 299-311.
    • Handle: RePEc:eee:phsmap:v:518:y:2019:i:c:p:299-311
    DOI: 10.1016/j.physa.2018.11.057
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    References listed on IDEAS

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    1. Babintsev, I.A. & Adzhemyan, L.Ts. & Shchekin, A.K., 2017. "Extension of the analytical kinetics of micellar relaxation: Improving a relation between the Becker–Döring difference equations and their Fokker–Planck approximation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 551-562.
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    Cited by:

    1. Adzhemyan, L.Ts. & Eroshkin, Yu.A. & Shchekin, A.K., 2021. "Localization and transformation of physically significant modes in relaxation of ensembles of spherical and cylindrical micelles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).
    2. Eroshkin, Yu.A. & Adzhemyan, L.Ts. & Shchekin, A.K., 2023. "Model of inverse “dry” micelles with coexisting spherical, globular and cylindrical aggregates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).

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    1. Adzhemyan, L.Ts. & Eroshkin, Yu.A. & Shchekin, A.K., 2021. "Localization and transformation of physically significant modes in relaxation of ensembles of spherical and cylindrical micelles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).

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