On the predictions and limitations of the Becker–Döring model for reaction kinetics in micellar surfactant solutions

Handle URI:
http://hdl.handle.net/10754/599065
Title:
On the predictions and limitations of the Becker–Döring model for reaction kinetics in micellar surfactant solutions
Authors:
Griffiths, I.M.; Bain, C.D.; Breward, C.J.W.; Colegate, D.M.; Howell, P.D.; Waters, S.L.
Abstract:
We investigate the breakdown of a system of micellar aggregates in a surfactant solution following an order-one dilution. We derive a mathematical model based on the Becker-Döring system of equations, using realistic expressions for the reaction constants fit to results from Molecular Dynamics simulations. We exploit the largeness of typical aggregation numbers to derive a continuum model, substituting a large system of ordinary differential equations for a partial differential equation in two independent variables: time and aggregate size. Numerical solutions demonstrate that re-equilibration occurs in two distinct stages over well-separated timescales, in agreement with experiment and with previous theories. We conclude by exposing a limitation in the Becker-Döring theory for re-equilibration of surfactant solutions. © 2011 Elsevier Inc.
Citation:
Griffiths IM, Bain CD, Breward CJW, Colegate DM, Howell PD, et al. (2011) On the predictions and limitations of the Becker–Döring model for reaction kinetics in micellar surfactant solutions. Journal of Colloid and Interface Science 360: 662–671. Available: http://dx.doi.org/10.1016/j.jcis.2011.04.074.
Publisher:
Elsevier BV
Journal:
Journal of Colloid and Interface Science
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
Aug-2011
DOI:
10.1016/j.jcis.2011.04.074
PubMed ID:
21571292
Type:
Article
ISSN:
0021-9797
Sponsors:
This publication is based on work supported by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST) and by EPSRC Grant EP/E019323. IMG gratefully acknowledges helpful discussions with Dr. P. J. Dellar, Professor S.D. Howison and Professor J.R. Ockendon. SLW is grateful to the EPSRC for funding in the form of an Advanced Research Fellowship.
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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.authorColegate, D.M.en
dc.contributor.authorHowell, P.D.en
dc.contributor.authorWaters, S.L.en
dc.date.accessioned2016-02-25T13:52:12Zen
dc.date.available2016-02-25T13:52:12Zen
dc.date.issued2011-08en
dc.identifier.citationGriffiths IM, Bain CD, Breward CJW, Colegate DM, Howell PD, et al. (2011) On the predictions and limitations of the Becker–Döring model for reaction kinetics in micellar surfactant solutions. Journal of Colloid and Interface Science 360: 662–671. Available: http://dx.doi.org/10.1016/j.jcis.2011.04.074.en
dc.identifier.issn0021-9797en
dc.identifier.pmid21571292en
dc.identifier.doi10.1016/j.jcis.2011.04.074en
dc.identifier.urihttp://hdl.handle.net/10754/599065en
dc.description.abstractWe investigate the breakdown of a system of micellar aggregates in a surfactant solution following an order-one dilution. We derive a mathematical model based on the Becker-Döring system of equations, using realistic expressions for the reaction constants fit to results from Molecular Dynamics simulations. We exploit the largeness of typical aggregation numbers to derive a continuum model, substituting a large system of ordinary differential equations for a partial differential equation in two independent variables: time and aggregate size. Numerical solutions demonstrate that re-equilibration occurs in two distinct stages over well-separated timescales, in agreement with experiment and with previous theories. We conclude by exposing a limitation in the Becker-Döring theory for re-equilibration of surfactant solutions. © 2011 Elsevier Inc.en
dc.description.sponsorshipThis publication is based on work supported by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST) and by EPSRC Grant EP/E019323. IMG gratefully acknowledges helpful discussions with Dr. P. J. Dellar, Professor S.D. Howison and Professor J.R. Ockendon. SLW is grateful to the EPSRC for funding in the form of an Advanced Research Fellowship.en
dc.publisherElsevier BVen
dc.subjectAggregation kineticsen
dc.subjectMicellizationen
dc.subjectSurfactanten
dc.titleOn the predictions and limitations of the Becker–Döring model for reaction kinetics in micellar surfactant solutionsen
dc.typeArticleen
dc.identifier.journalJournal of Colloid and Interface Scienceen
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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