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

I. M. Griffiths; C. D. Bain; C. J. W. Breward; S. J. Chapman; P. D. Howell; S. L. Waters

doi:10.1137/110842089

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

I. M. Griffiths, C. D. Bain, C. J. W. Breward, S. J. Chapman, P. D. Howell, S. L. Waters

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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.

Original language	English (US)
Pages (from-to)	201-215
Number of pages	15
Journal	SIAM Journal on Applied Mathematics
Volume	72
Issue number	1
DOIs	https://doi.org/10.1137/110842089
State	Published - Jan 2012
Externally published	Yes

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10.1137/110842089

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title = "An Asymptotic Theory for the Re-Equilibration of a Micellar Surfactant Solution",

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-D{\"o}ring equations. We use a continuum version of these equations to develop a reduced asymptotic description that elucidates the behavior during each of these processes.{\textcopyright} 2012 Society for Industrial and Applied Mathematics.",

author = "Griffiths, {I. M.} and Bain, {C. D.} and Breward, {C. J. W.} and Chapman, {S. J.} and Howell, {P. D.} and Waters, {S. L.}",

note = "KAUST 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.",

year = "2012",

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language = "English (US)",

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AU - Griffiths, I. M.

AU - Bain, C. D.

AU - Breward, C. J. W.

AU - Chapman, S. J.

AU - Howell, P. D.

AU - Waters, S. L.

N1 - KAUST 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.

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N2 - 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.

AB - 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.

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JO - SIAM Journal on Applied Mathematics

JF - SIAM Journal on Applied Mathematics

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

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