Nonlinear dynamics in micellar surfactant solutions. II. Diffusion

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We discuss diffusion in micellar surfactant solutions in a form appropriate for analyzing experiments that involve large deviations from equilibrium. A general nonlinear dynamical model for inhomogeneous systems is developed that describes the effects of diffusion and micelle kinetics as a set of coupled partial differential equations for unimer concentration, micelle number concentration, average micelle aggregation number, and, optionally, the variance of the micelle aggregation number. More specialized models are developed to describe slow dynamics in situations in which the system stays in a state of partial local equilibrium or full local equilibrium. As an illustrative example of a nonlinear transport phenomenon, we discuss a simple model of diffusion from an initially homogeneous micellar solution to a rapidly created absorbing interface with fast unimer adsorption.

Original languageEnglish (US)
Article number034603
JournalPhysical Review E
Issue number3
StatePublished - Mar 2022

Bibliographical note

Funding Information:
This work was supported primarily by NSF Grant No. DMR-1310436, with partial support from the NMP and MP programs of the University of Minnesota Industrial Partnership for Interfacial and Materials Engineering (IPRIME) center.

Publisher Copyright:
© 2022 American Physical Society.

PubMed: MeSH publication types

  • Journal Article


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