The Open Chemical Physics Journal

2011, 3 : 10-35
Published online 2011 September 12. DOI: 10.2174/1874412501103010010
Publisher ID: TOCPJ-3-10

Equilibrium Conformations of Fluid Films with Bending Stiffness

Arnold Krawietz
Beuth Hochschule für Technik Berlin, Germany.

ABSTRACT

Minimal energy conformations of amphiphilic monolayers within a microemulsion are investigated. An exploitation of the Euler-Lagrange equations yields the internal forces and torques of the fluid film, which cannot be characterized by a simple surface tension. A numerical scheme reveals various properties of the equilibrium solutions of three families of bicontinuous structures. The influence of the constitutive behaviour is demonstrated not only on the basis of a quadratic bending energy density but also with a non-linear extension which exhibits symmetry breaking. The latter is essential to allow the three-phase coexistence of a microemulsion with excess phases of oil and water and hence the existence of an X point in the phase map.

Keywords:

Amphiphile, curvature elasticity, bicontinuous structures, symmetry breaking, numerical scheme.