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Published February 11, 1993 | public
Journal Article

Flexible micelles and the n → 0 vector spin model


We show how the n → 0 vector spin model is especially naturally suited for treating the solution properties of flexible, cylindrical micelles. In particular, an isomorphism is established between coupling constants in the spin Hamiltonian and surfactant energies in the micellar situation. The appropriately generalized n → 0 vector spin model is then solved in mean field approximation and shown to describe the phenomenon of mi cellar growth at low concentrations and crossover through the semidilute regime. Osmotic pressure and average aggregation number are calculated as a function of concentration, and our basic approach is compared and contrasted with those for "ordinary" and "living" polymer solutions.

Additional Information

© 1993 American Chemical Society. Received: July 17, 1992; In Final Form: October 28, 1992. It is a pleasure to thank Dr. Jaime Ruiz-Garcia and Profs. Avi Ben-Shaul and Bob Scott for several helpful discussions. This work was partially supported by the U.S. National Science Foundation (Grant CHE92-01166 to W.M.G.) and the Camille and Henry Dreyfus New Faculty Award Program (Z.-G.W.). M.E.C. is grateful for a postdoctoral fellowship from the Universidad Nacional Autonoma de Mexico, which helped support her work at UCLA.

Additional details

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