The Gibbs-Thomson Law

  • Augusto Visintin
Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 28)


The free energy and the entropy are the relevant thermodynamical potentials at constant temperature and at constant energy, respectively. Expressions are here derived for these potentials in solid-liquid systems, including interface contributions.

It is then shown that relative minimizers of the free energy (as well as relative maximizers of the entropy) fulfill the Gibbs-Thomson law at phase interfaces, and the associated contact angle condition on the boundary.

Finally, the so-called phase field model is outlined.


Free Energy Contact Angle Condition Phase Field Model Relative Minimizer Surface Tension Coefficient 
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Copyright information

© Birkhäuser Boston 1996

Authors and Affiliations

  • Augusto Visintin
    • 1
  1. 1.Dipartimento di MatematicaUniversità Degli Studi di TrentoPovoItaly

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