The virial expansion of a classical interacting system

Abstract

We consider N particles interacting pair-wise by an inverse square potential in one dimension (Calogero-Sutherland-Moser model). When trapped harmonically, its classical canonical partition function for the repulsive regime is known in the literature. We start by presenting a concise re-derivation of this result. The equation of state is then calculated both for the trapped and the homogeneous gas. Finally, the classical limit of Wu's distribution function for fractional exclusion statistics is obtained and we re-derive the classical virial expansion of the homogeneous gas using this distribution function.

9 pages; added references to some earlier work on this problem; this has led to a significant shortening of the paper and a changed title

References in corpus (2)

• Physics and Mathematics of Calogero particles
• Number Fluctuation in an interacting trapped gas in one and two dimensions

Cited by in corpus (2)

• Coulomb and Riesz gases: The known and the unknown
• Derivation of a statistical model for classical systems obeying fractional exclusion principle