Adsorption of polymer chains at two impenetrable interfaces

We study the problem of adsorption of polymer chains in a system containing two impenetrable attracting interfaces within the mean-field approximation. We find the exact solution of this mean-field polymer adsorption problem that is controlled by a single scaling variable describing the coupling between the impenetrable interfaces due to the polymer chains. At the saturation point we obtain the total number of adsorbed monomers, the total energy of the system and the force acting between impenetrable interfaces that is turned to be strictly attractive and monotonously decaying towards zero for increasing distance between the interfaces.