Smoothening Transition of Rough Surfactant Surfaces

Details Smoothening Transition of Rough Surfactant Surfaces Smoothening Transition of Rough Surfactant Surfaces

1998-06-05

arxiv.org/abs/cond-mat/9806077v3

Physics

Condensed Matter

Soft Condensed Matter

11 pages, 1 figure, harvmac, minor corrections

Scientific paper

We propose a model for surfaces in mixtures of oil, water and surfactants with strong electric dipoles. The dipole interactions give rise to a non-local interaction with negative stiffness between surface elements. We show that, for large space dimension D, this model has a phase transition from rough to smooth surfaces. Contrary to models with a simple quadratic curvature energy of positive sign, which always have a finite persistence length typical of rough surfaces, the smooth surfaces in our model exhibit long-range correlations of a generalized antiferromagnetic type. These correlations might be related to the recently observed "egg carton" superstructure of membranes.

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