J. Phys. I France
Volume 2, Number 9, September 1992
Page(s) 1741 - 1754
DOI: 10.1051/jp1:1992108
J. Phys. I France 2 (1992) 1741-1754

Flory theory of the unbinding transition

S. T. Milner1 and D. Roux2

1  Exxon Research and Engineering, Annandale, NJ 08801, U.S.A.
2  Centre de Recherche Paul Pascal, F-33405 Talence Cedex, France

(Received 22 January 1992, revised 1 June 1992, accepted 2 June 1992)

The transition between bound and unbound surfactant bilayers, controlled by the strength of attractive van der Waals interactions, is described in a simple Flory-type picture. All the main features of the transition previously described only by functional renormalization group methods are recovered, including 1) second-order nature of the transition; 2) estimate of the critical strength of van der Waals interactions; 3) dependence of tricritical point on bilayer stiffness. Our Flory picture also reproduces known exponents for unbinding and wetting transitions in d=2 dimensions.

© Les Editions de Physique 1992