The Mathematical Institute, University of Oxford, Eprints Archive

An asymptotic theory for the re-equilibration of a micellar surfactant solution

Griffiths, I. M. and Bain, C. D. and Breward, C. J. W. and Chapman, S. J. and Howell, P. D. and Waters, S. L. (2011) An asymptotic theory for the re-equilibration of a micellar surfactant solution. SIAM Journal on Applied Mathematics . (Submitted)

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Abstract

Micellar surfactant solutions are characterized by a distribution of aggregates comprised predominantly of pre-micellar 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 re-equilibration following a system dilution, known as the 1 and 2 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.

Item Type:Article
Subjects:D - G > General
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:1427
Deposited By:Peter Hudston
Deposited On:11 Nov 2011 07:48
Last Modified:15 Dec 2014 14:21

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