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 language||English (US)|
|Number of pages||15|
|Journal||SIAM Journal on Applied Mathematics|
|State||Published - Jan 2012|
Bibliographical noteKAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-C1-013-04
Acknowledgements: This 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.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.