2003/02/28 by Marek Biskup, L. Chayes, Lincoln Chayes +2 · 1 citation
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Theoretical and Computational Physics #cond-mat.stat-mech #math-ph #math.MP #math.PR #msc:82B05 #msc:82B20 #msc:82B26 #nanoparticles nucleation surface interactions #physics.chem-ph
paper · pdf · doi:10.1023/b:joss.0000037209.36990.eb
published as J. Statist. Phys. 116 (2004), no. 1-4, 175-203 · LaTeX+times; version to appear in J. Statist. Phys
arxiv created 2003/09/30 · openalex publication_date 2004/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.