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)
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.
|Subjects:||D - G > General|
|Research Groups:||Oxford Centre for Collaborative Applied Mathematics|
|Deposited By:||Peter Hudston|
|Deposited On:||11 Nov 2011 07:48|
|Last Modified:||29 May 2015 19:07|
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