Adhesion between membranes is studied using a phenomenological model, where
the inter-membrane distance is coupled to the concentration of sticker
molecules on the membranes. The model applies to both for adhesion of two
flexible membranes and to adhesion of one flexible membrane onto a second
membrane supported on a solid substrate. We mainly consider the case where the
sticker molecules form bridges and adhere directly to both membranes. The
calculated mean-field phase diagrams show an upward shift of the transition
temperature indicating that the lateral phase separation in the membrane is
enhanced due to the coupling effect. Hence the possibility of adhesion-induced
lateral phase separation is predicted. For a particular choice of the
parameters, the model exhibits a tricritical behavior. We also discuss the
non-monotonous shape of the inter-membrane distance occurring when the lateral
phase separation takes place. The inter-membrane distance relaxes to the bulk
values with two symmetric overshoots. Adhesion mediated by other types of
stickers is also considered.Comment: 13 pages, 9 PostScript figures included. To be published in Euro.
Phys. J - E. Minor revision