An Asymptotic Theory for the Re-Equilibration of a Micellar Surfactant Solution
KAUST Grant NumberKUK-C1-013-04
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AbstractMicellar 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.
CitationGriffiths IM, Bain CD, Breward CJW, Chapman SJ, Howell PD, et al. (2012) An Asymptotic Theory for the Re-Equilibration of a Micellar Surfactant Solution. SIAM Journal on Applied Mathematics 72: 201–215. Available: http://dx.doi.org/10.1137/110842089.
SponsorsThis work was supported by Award KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST), and by EPSRC grant EP/E019323.