ISSN:
1572-9613
Keywords:
Wetting
;
random surface
;
Ising model
;
monolayer
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
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 temperatureT w 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,T w is independent ofb and there is a logarithmic specific heat divergence asT w is approached fromeither side. Here we show that forb〈0,T w does depend onb and there isno thermodynamic singularity from the wet phase. The partially wet phases forb⩽0 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〈T w.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01030001
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