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The virial expansion of a classical interacting system

Bhaduri, RK and Murthy, MVN and Sen, Diptiman (2010) The virial expansion of a classical interacting system. In: Journal Of Physics A-Mathematical And Theoretical, 43 (4).

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Official URL: http://www.iop.org/EJ/abstract/1751-8121/43/4/0450...


We consider N particles interacting pairwise by an inverse square potential in one dimension (Calogero-Sutherland-Moser model). For a system placed in a harmonic trap, its classical partition function for the repulsive regime is recognised 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.

Item Type: Journal Article
Publication: Journal Of Physics A-Mathematical And Theoretical
Publisher: Institute of physics
Additional Information: Copyright for this article belongs to Institute of physics.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 02 Feb 2010 07:16
Last Modified: 19 Sep 2010 05:54
URI: http://eprints.iisc.ac.in/id/eprint/25484

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