Variational theory of multilayer solid adsorption

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Abstract
We present a simple variational theory describing the adsorption of successive solid layers on a homogeneous substrate. Infinitely far from the substrate the theory reduces to the self-consistent theory of Saito for the roughening transition. In agreement with recent Monte Carlo simulations a sequence of first-order transitions is found at low temperatures. However, at temperatures greater than the roughening temperature, all layers are adsorbed in a continuous manner.