Coupling between membrane tilt-difference and dilation: A new “ripple” instability and multiple crystalline inclusions phases
Laboratoire de Physico-Chimie Théorique, École Supérieure de Physique et de Chimie Industrielles de la Ville de Paris, 10 rue Vauquelin, F-75231 Paris Cédex 05, France
Accepted: 17 July 1998
A continuum Landau theory for the micro-elasticity of membranes is discussed, which incorporates a coupling between the bilayer thickness variation and the difference in the two monolayers' tilts. This coupling stabilizes a new phase with a rippled micro-structure. Interactions among membrane inclusions combine a dilation-induced attraction and a tilt-difference–induced repulsion that yield 2D crystal phases, with possible coexistence of different lattice spacings for large couplings. Inclusions favoring crystals are those with either a long-convex or a short-concave hydrophobic core.
PACS: 87.22.Bt – Membrane and subcellular physics and structure / 34.20.-b – Interatomic and intermolecular potentials and forces, potential energy surfaces for collisions
© EDP Sciences, 1998