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

Journal of Colloid and Interface Science

Volumn 360, Issue 2, 2011, Pages 662-671

  Griffiths, I M ^a   Bain, C D ^b   Breward, C J W ^a   Colegate, D M ^b   Howell, P D ^a   Waters, S L ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b DURHAM UNIVERSITY   (United Kingdom)

Author keywords

Aggregation kinetics; Micellization; Surfactant

Indexed keywords

AGGREGATE SIZE; AGGREGATION KINETICS; AGGREGATION NUMBERS; CONTINUUM MODEL; INDEPENDENT VARIABLES; LARGE SYSTEM; MICELLAR AGGREGATES; MICELLAR SURFACTANTS; MOLECULAR DYNAMICS SIMULATIONS; NUMERICAL SOLUTION; RE-EQUILIBRATION; RING MODEL; RING SYSTEMS; RING THEORY; SURFACTANT; SURFACTANT SOLUTION; TIME-SCALES;

CONTINUUM MECHANICS; MATHEMATICAL MODELS; MOLECULAR DYNAMICS; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; SURFACE ACTIVE AGENTS;

REACTION KINETICS;

SURFACTANT;

ARTICLE; BECKER DORING MODEL; CELL AGGREGATION; CHEMICAL REACTION KINETICS; FOLLOW UP; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; MICELLE; MOLECULAR DYNAMICS; PREDICTION; PRIORITY JOURNAL;

EID: 79958781882     PISSN: 00219797     EISSN: 10957103     Source Type: Journal    
DOI: 10.1016/j.jcis.2011.04.074     Document Type: Article

References (31)

1. D.M. Colegate, Structure-Kinetics Relationships in Micellar Solutions of Nonionic Surfactants, Ph.D. Thesis, Durham University, 2009.
2. Aniansson E.A.G., Wall S.N. On the kinetics of step-wise micelle association. J. Phys. Chem. 1974, 78:1024-1030.
3. Aniansson E.A.G., Wall S.N. Kinetics of step-wise micelle association and dissociation. Correction and improvement. J. Phys. Chem. 1975, 79:857-858.
4. Aniansson E.A.G., Wall S.N., Almgren M., Hoffmann H., Kielmann I., Ulbricht W., Zana R., Lang J., Tondre C. Theory of the kinetics of micellar equilibria and quantitative interpretation of chemical relaxation studies of micellar solutions of ionic surfactants. J. Phys. Chem. 1976, 80(9):905-922.
5. Nagarajan R., Ruckenstein E. Theory of surfactant self-assembly: a predictive molecular thermodynamic approach. Langmuir 1991, 7:2934-2969.
6. Becker R., Döring W. Kinetische behandlung der Keimbildung in ubersattigten dampfern. Ann. Phys. 1935, 24:719-752.
7. Smoluchowski V. Mathematical theory of the kinetics of the coagulation of colloidal particles. Phys. Chem 1917, 92:129-168.
8. Wattis J.A.D. An introduction to mathematical models of coagulation-fragmentation processes: a discrete deterministic mean-field approach. Physica D: Nonlinear Phenom. 2006, 222(1-2):1-20.
9. Penrose O., Lebowitz J.L. Towards a rigorous molecular theory of metastability. Fluct. Phenom. 1987, 7:293-340.
10. Billingham J., Coveney P.V. Kinetics of self-replicating micelles. J. Chem. Soc. 1994, 90(13):1953-1959.
11. Coveney P.V., Wattis J.A.D. Analysis of a generalized Becker-Döring model of self-reproducing micelles. Proc. Math. Phys. Eng. Sci. 1996, 2079-2102.
12. Band L.R., Cummings L.J., Waters S.L., Wattis J.A. Modelling crystal aggregation and deposition in the catheterised lower urinary tract. J. Math. Biol. 2009, 59:809-840.
13. Guy R.D., Fogelson A.L., Keener J.P. Modeling fibrin gel formation in a shear flow. Math. Med. Biol. 2007, 24:111-130.
14. Lang J., Tondre C., Zana R., Bauer R., Hoffmann H., Ulbricht W. Chemical relaxation studies of micellar equilibriums. J. Phys. Chem. 1975, 79(3):276-283.
15. Kuni F.M., Grinin A.P., Shchekin A.K., Rusanov A.I. Thermodynamic and kinetic foundations of the micellization theory: 4. Kinetics of establishment of equilibrium in a micellar solution. Colloid J. 2001, 63(2):197-204.
16. Kuni F.M., Grinin A.P., Shekin A.K., Rusanov A.I. Thermodynamic and kinetic foundations of the micellization theory: 3. Initial stages of micellization. Colloid J. 2000, 62(4):451-456.
17. Kuni F.M., Rusanov A.I., Grinin A.P., Shchekin A.K. Thermodynamic and kinetic foundations of the micellization theory: 5. Hierarchy of kinetic times. Colloid J. 2001, 63(6):723-730.
18. Kuni F.M., Shchekin A.K., Grinin A.P., Rusanov A.I. Thermodynamic and kinetic foundations of the micellization theory: 2. Direct and reverse fluxes of molecular aggregates over the activation barrier of micellization. Colloid J. 2000, 62(2):172-178.
19. Rusanov A.I., Kuni F.M., Shchekin A.K. Thermodynamic and kinetic foundations of the micellization theory: 1. General aspects. Colloid J. 2000, 62(2):167-171.
20. Richardson G., Cummings L.J., Harris H.J., O'Shea P. Toward a mathematical model of the assembly and disassembly of membrane microdomains: comparison with experimental models. Biophys. J. 2007, 92:4145-4156.
21. Wattis J., King J. Asymptotic solutions of the Becker-Döring equations. J. Phys. A 1998, 31:7169.
22. de Moraes J.N.B., Figueiredo W. Dynamical study of a micellar system. Phys. Status Solidi 2001, 187(1):57-62.
23. Jorge M. Molecular dynamics simulation of self-assembly of n-Decyltrimethylammonium Bromide micelles. Langmuir 2008, 24(11):5714-5725.
24. Mohan G., Kopelevich D.I. A multiscale model for kinetics of formation and disintegration of spherical micelles. J. Chem. Phys. 2008, 128:044905.
25. Nagarajan R., Ruckenstein E. Aggregation of amphiphiles as micelles or vesicles in aqueous media. J. Colloid Interface Sci. 1979, 71(5):580-604.
26. Puvvada S., Blankschtein D. Molecular-thermodynamic approach to predict micellization, phase behavior and phase separation of micellar solutions. I. Application to nonionic surfactants. J. Chem. Phys. 1990, 92:3710.
27. Teubner M. Theory of ultrasonic-adsorption in micellar solutions. J. Phys. Chem. 1979, 83:2917-2920.
28. Yasunaga T., Takeda K., Harada S. Kinetic study of sodium dodecyl sulfate micelle dissociation by a stopped-flow method. J. Colloid Interface Sci. 1973, 42:457-463.
29. Corkill J.M., Goodman J.F., Harrold S.P. Thermodynamics of micellization of non-ionic detergents. Trans. Faraday Soc. 1964, 60:202-207.
30. Ueno M., Takasawa Y., Miyashige H., Tabata Y., Meguro K. Effects of alkyl chain length on surface and micellar properties of octaethyleneglycol-n alkyl ethers. Colloid Polym. Sci. 1981, 259(7):761-766.
31. D.M. Colegate, Private Communication, 2008.