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

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.

arXiv commentLaTeX+times; version to appear in J. Statist. Phys

References in corpus (5)

• The Gibbs-Thomson formula at small island sizes - corrections for high vapour densities
• On the formation/dissolution of equilibrium droplets
• Rigorous Probabilistic Analysis of Equilibrium Crystal Shapes
• Critical region for droplet formation in the two-dimensional Ising model
• SURFACE INDUCED FINITE-SIZE EFFECTS FOR FIRST ORDER PHASE TRANSITIONS

Cited by in corpus (7)

• Monte Carlo study of the evaporation/condensation transition on different Ising lattices
• Thermodynamics of amyloid formation and the role of intersheet interactions
• Optimized broad-histogram simulations for strong first-order phase transitions: Droplet transitions in the large-Q Potts model
• Application of the parallel multicanonical method to lattice gas condensation
• Numerical test of finite-size scaling predictions for the droplet condensation-evaporation transition
• The Droplet Formation-Dissolution Transition in Different Ensembles: Finite-Size Scaling from Two Perspectives
• Anisotropic step stiffness from a kinetic model of epitaxial growth