Dresden 2009 – wissenschaftliches Programm
DY 12.28: Poster
Dienstag, 24. März 2009, 14:30–16:30, P1A
Shape Dependence of Free Energies — •Anatoly Danilevich, Thorsten Hiester, and Klaus Mecke — Institut für Theoretische Physik Universität Erlangen-Nürnberg, Staudtstrasse 7, 91058 Erlangen, Germany.
Thermodynamic potentials of a fluid bounded by a finite, arbitrarily shaped convex container K⊂Rd are expected to be dependent only on d+1 morphometric measures, the so-called Minkowski functionals Mi(K), and additional terms which decrease exponentially with the size of K . This conjecture has been tested analytically for lattice models and - by reducing the problem to integral geometric calculations - also for a cluster expansion of a continuous fluid model.
The results can be used in combination with density functional theory to derive an explicit expression for the Tolman length, i.e., the curvature correction to the surface tension of a spherical drop.
 P. König, R. Roth and K. Mecke, Phys. Rev. Lett. 93, 160601 (2004).