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Journal of Chemical Physics / Volume 107 / Issue 23

J. Chem. Phys. 107, 10207 (1997); http://dx.doi.org/10.1063/1.474157 (7 pages)

Exact results and mean field approximation for a model of molecular aggregation

Daniel Duque1 and Pedro Tarazona2

1Departamento de Física Teórica de la Materia Condensada (C-V), Universidad Autónoma de Madrid, E-28049 Madrid, Spain
2Departamento de Física Teórica de la Materia Condensada (C-V) and Instituto Nicolás Cabrera, Universidad Autónoma de Madrid, E-28049 Madrid, Spain

(Received 21 May 1997; accepted 11 September 1997)

We present a simple one-dimensional model with molecular interactions favoring the formation of clusters with a defined optimal size. Increasing the density, at low temperature, the system goes from a nearly ideal gas of independent molecules to a system with most of the molecules in optimal clusters, in a way that resembles the formation of micelles in a dilution of amphiphilic molecules, at the critical micellar concentration. Our model is simple enough to have an exact solution, but it contains some basic features of more realistic descriptions of amphiphilic systems: molecular excluded volume and molecular attractions which are saturated at the optimal cluster. The comparison between the exact results and the mean field density functional approximation suggests new approaches to study the more complex and realistic models of micelle formation; in particular it addresses the long-standing controversy surrounding the separation of internal degrees of freedom in the formulation of cluster association phenomena. © 1997 American Institute of Physics.

© 1997 American Institute of Physics

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KEYWORDS and PACS

Keywords

aggregation, colloids, density functional theory, association

PACS

  • 82.70.Dd

    Colloids

  • 82.30.Nr

    Association, addition, insertion, cluster formation

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.474157

PUBLICATION DATA

ISSN

0021-9606 (print)  
1089-7690 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    J. R. Henderson, Phys. Rev. Lett. 77, 2316 (1996).


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