A Proof of the Gibbs – Thomson Formula in the Droplet Formation Regime 1

  • Biskup M
  • Chayes L
  • Koteck\`y R
  • 4

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Abstract

We study equilibrium droplets in two-phase systems at parameter values
corre- sponding 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 inter- pretation 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

Author-supplied keywords

  • cluster expansion
  • correlation inequality
  • droplet formation
  • gibbs
  • thomson formula
  • tion
  • wulff construc-
  • wulff construction

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Authors

  • Marek Biskup

  • Lincoln Chayes

  • R. Koteck\`y

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