A proof of the Gibbs-Thomson formula in the droplet formation regime

Details A proof of the Gibbs-Thomson formula in the droplet formation regime A proof of the Gibbs-Thomson formula in the droplet formation regime

2003-02-12

arxiv.org/abs/math-ph/0302031v2

J. Statist. Phys. 116 (2004), no. 1-4, 175-203

Physics

Mathematical Physics

LaTeX+times; version to appear in J. Statist. Phys

Scientific paper

10.1023/B:JOSS.0000037209.36990.

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.

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