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We study the linearized hydrodynamics of a two-component fluid membrane neara repulsive wall, via a model which incorporates curvature- concentrationcoupling as well as hydrodynamic interactions. This model is a simplifiedversion of a recently proposed one [J.-B. Manneville et al. Phys. Rev. E, 64,021908 (2001)] for non-equilibrium force-centres embedded in fluid membranes,such as light-activated bacteriorhodopsin pumps incorporated in phospholipid(EPC) bilayers. The pump/membrane system is modeled as an impermeable,two-component bilayer fluid membrane in the presence of an ambient solvent, inwhich one component, representing active pumps, is described in terms of forcedipoles displaced with respect to the bilayer midpoint. We first discuss thecase in which such pumps are rendered inactive, computing the mode structure inthe bulk as well as the modification of hydrodynamic properties by the presenceof a nearby wall. We then discuss the fluctuations and mode structure in steadystate of active two-component membranes near a repulsive wall. We find thatproximity to the wall smoothens membrane height fluctuations in the stableregime, resulting in a logarithmic scaling of the roughness even for initiallytensionless membranes. This explicitly non-equilibrium result, a consequence ofthe incorporation of curvature-concentration coupling in our treatment, alsoindicates that earlier scaling arguments which obtained an increase in theroughness of active membranes near repulsive walls may need to be reevaluated.Comment: 39 page Latex file, 3 encapsulated Postscript figure

Two-component fluid membranes near repulsive walls: Linearized hydrodynamics of equilibrium and nonequilibrium states