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

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dc.creatorBiskup, Marek
dc.creatorChayes, Lincoln
dc.creatorKotecky, Roman
dc.date2003-02-12
dc.date2003-09-30
dc.date.accessioned2026-07-07T04:29:47Z
dc.date.available2026-07-07T04:29:47Z
dc.descriptionWe 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.
dc.descriptionLaTeX+times; version to appear in J. Statist. Phys
dc.identifierhttps://arxiv.org/abs/math-ph/0302031
dc.identifierhttp://arxiv.org/abs/math-ph/0302031
dc.identifierJ. Statist. Phys. 116 (2004), no. 1-4, 175-203
dc.identifierdoi:10.1023/B:JOSS.0000037209.36990.eb
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57288
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.subjectProbability
dc.subjectChemical Physics
dc.subject82B05; 82B20; 82B26
dc.titleA proof of the Gibbs-Thomson formula in the droplet formation regime
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