An Asymptotic Theory for the Re-Equilibration of a Micellar Surfactant Solution

I. M. Griffiths, C. D. Bain, C. J. W. Breward, S. J. Chapman, P. D. Howell, S. L. Waters

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

Micellar surfactant solutions are characterized by a distribution of aggregates made up predominantly of premicellar aggregates (monomers, dimers, trimers, etc.) and a region of proper micelles close to the peak aggregation number, connected by an intermediate region containing a very low concentration of aggregates. Such a distribution gives rise to a distinct two-timescale reequilibration following a system dilution, known as the t1 and t2 processes, whose dynamics may be described by the Becker-Döring equations. We use a continuum version of these equations to develop a reduced asymptotic description that elucidates the behavior during each of these processes.© 2012 Society for Industrial and Applied Mathematics.
Original languageEnglish (US)
Pages (from-to)201-215
Number of pages15
JournalSIAM Journal on Applied Mathematics
Volume72
Issue number1
DOIs
StatePublished - Jan 2012
Externally publishedYes

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