AN ASYMPTOTIC THEORY FOR THE RE-EQUILIBRATION OF A MICELLAR SURFACTANT SOLUTION

作者：Griffiths I M^*; Bain C D; Breward C J W; Chapman S J; Howell P D; Waters S L

来源：SIAM Journal on Applied Mathematics, 2012, 72(1): 201-215.

DOI：10.1137/110842089

• Becker-Doring equations
• surfactant systems
• micellar kinetics
• asymptotic analysis

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 re-equilibration following a system dilution, known as the tau(1) and tau(2) processes, whose dynamics may be described by the Becker-Doring equations. We use a continuum version of these equations to develop a reduced asymptotic description that elucidates the behavior during each of these processes.

• 出版日期2012