The wetting transition in a random surface model |
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Authors: | D. B. Abraham C. M. Newman |
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Affiliation: | (1) Theoretical Physics, OX1 3NP Oxford, England;(2) Courant Institute of Mathematical Sciences, 10012 New York, New York |
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Abstract: | We continue our analysis of the phase diagram of a discrete random surface, with no downward fingers, lying above a flat two-dimensional substrate. The surface is closely related to the 2D Ising model and its free energy is exactly solvable in much (but not all) of the phase diagram. There is a transition at temperatureTw from a high-T infinite height or wet phase to a low-T finite height or partially wet phase. Previously it was shown that when a parameterb, related to the contact interaction, is positive,Tw is independent ofb and there is a logarithmic specific heat divergence asTw is approached fromeither side. Here we show that forb<0,Tw does depend onb and there isno thermodynamic singularity from the wet phase. The partially wet phases forb0 andb>0 differ in the absence or presence of a monolayer covering the entire substrate; this results in a first-order transition across the lineb=0,T<Tw.This paper is dedicated to Jerry Percus. |
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Keywords: | Wetting random surface Ising model monolayer |
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