Fluctuations of a membrane interacting with a diffusion field

We analyze the dynamics and fluctuations of phospholipidic membrane containing inclusions which may diffuse long the membrane as well as in the aqueous solution. A kinetic law of exchange between the membrane and the fluid is introduced. It is shown that the membrane may become morphologically unstable. In the stable regime the fluctuations kinetics are analyzed. Diffusion as well as desorption lead to dynamical laws for the fluctuation width which assumes different scaling laws with time (e.g., t(1/2), t ln(t),...) depending on the prevailing dissipation mechanism. The experimental analysis of dynamical fluctuations should give access to the microscopic physical parameters.