Marek Biskup, Lincoln Chayes and Roman Kotecky
A proof of the Gibbs-Thomson formula in the droplet formation regime
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ABSTRACT.  We study equilibrium droplets in two-phase systems at parameter values corresponding to phase coexistence. 
Specifically, we give a self-contained microscopic derivation of the Gibbs-Thomson formula for the deviation 
of the pressure and the density away from their equilibrium values which, according to the interpretation 
of the classical thermodynamics, appears due to the presence of a curved interface. 
The general---albeit heuristic---reasoning is corroborated by a rigorous proof in the case 
of the two-dimensional~Ising lattice gas.