Fluctuation-induced forces between rough surfaces

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Abstract
External boundaries change the fluctuations of a correlated fluid, such as a liquid crystal, thereby causing long-range interactions. We compute how the interaction between two parallel plates is modified by the deformations of one plate. Corrections to the leading interaction decay with the average separation of the plates through an exponent related to the roughness of the boundary. These interactions may also modify the surface fluctuations of thin liquid films.