The Large Deviation Principle and some Models of an Interacting Boson Gas

van den Burg, M. and Lewis, J. T. and Pulé, J. V. (1988) The Large Deviation Principle and some Models of an Interacting Boson Gas. (Preprint)

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Abstract

This is a study of the equilibrium thermodynamics of the Huang-Yang-Luttinger model of a boson gas with a hard-sphere repulsion using large deviation methods; we contrast its properties with those of the mean field model. We prove the existence of the grand canonical pressure in the thermodynamic limit and derive two alternative expressions for the pressure as a function of the chemical potential. We prove the existence of condensate for the values of the chemical potential above a critical value and verify a prediction of Thouless that there is a jump in the density of condensate at the critical value. We also show that, at fixed mean density, the density of the condensate is an increasing function of the strength of the repulsive interaction. In an appendix, we give proofs of the large deviation results used in the body of the paper.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 19 Jun 2018 14:17
Last Modified: 23 Jul 2018 13:39
URI: http://dair.dias.ie/id/eprint/797

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