Regensburg 2010 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 1: Statistical Physics (general) I

DY 1.6: Vortrag

Montag, 22. März 2010, 11:30–11:45, H47

Shape Dependent Partition Sums of Bounded Systems — •Anatoly Danilevich and Klaus Mecke — Institut für Theoretische Physik Universität Erlangen-Nürnberg, Staudtstrasse 7, 91058 Erlangen, Germany

We consider classical many-particle systems bounded by an arbitrarily shaped convex container D⊂R^d. In the asymptotic limit D→R^d thermodynamic potentials are expected to be extensive, meaning to be a linear combination of d+1 Minkowski functionals M_i(D) (e.g. the volume, the surface area, etc.) and correction terms which decrease exponentially with the size of D [1]. This conjecture has been tested analytically for Ising models and for a cluster expansion of a continuous fluid model in the grandcanonical ensemble.

[1] P. König, R. Roth and K. Mecke, Phys. Rev. Lett. 93, 160601 (2004).