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

Author: 

Griffiths, I
Bain, C
Breward, C
Colegate, D
Howell, P
Waters, S

Publication Date: 

15 August 2011

Journal: 

J Colloid Interface Sci

Last Updated: 

2020-06-19T13:02:11.797+01:00

Issue: 

2

Volume: 

360

DOI: 

10.1016/j.jcis.2011.04.074

page: 

662-671

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.

Symplectic id: 

164053

Download URL: 

Submitted to ORA: 

Not Submitted

Publication Type: 

Journal Article