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

Handle URI:
http://hdl.handle.net/10754/597512
Title:
An Asymptotic Theory for the Re-Equilibration of a Micellar Surfactant Solution
Authors:
Griffiths, I. M.; Bain, C. D.; Breward, C. J. W.; Chapman, S. J.; Howell, P. D.; Waters, S. L.
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.
Citation:
Griffiths 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.
Publisher:
Society for Industrial & Applied Mathematics (SIAM)
Journal:
SIAM Journal on Applied Mathematics
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
Jan-2012
DOI:
10.1137/110842089
Type:
Article
ISSN:
0036-1399; 1095-712X
Sponsors:
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.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorGriffiths, I. M.en
dc.contributor.authorBain, C. D.en
dc.contributor.authorBreward, C. J. W.en
dc.contributor.authorChapman, S. J.en
dc.contributor.authorHowell, P. D.en
dc.contributor.authorWaters, S. L.en
dc.date.accessioned2016-02-25T12:41:11Zen
dc.date.available2016-02-25T12:41:11Zen
dc.date.issued2012-01en
dc.identifier.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.en
dc.identifier.issn0036-1399en
dc.identifier.issn1095-712Xen
dc.identifier.doi10.1137/110842089en
dc.identifier.urihttp://hdl.handle.net/10754/597512en
dc.description.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.en
dc.description.sponsorshipThis 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.en
dc.publisherSociety for Industrial & Applied Mathematics (SIAM)en
dc.subjectAsymptotic analysisen
dc.subjectBecker-Döring equationsen
dc.subjectMicellar kineticsen
dc.subjectSurfactant systemsen
dc.titleAn Asymptotic Theory for the Re-Equilibration of a Micellar Surfactant Solutionen
dc.typeArticleen
dc.identifier.journalSIAM Journal on Applied Mathematicsen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
dc.contributor.institutionUniversity of Durham, Durham, United Kingdomen
kaust.grant.numberKUK-C1-013-04en
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