A perturbed mean field model of an interacting boson gas and the large deviation principle

M. van den Berg; T. C. Dorlas; J. T. Lewis; J. V. Pulé

doi:10.1007/BF02096493

A perturbed mean field model of an interacting boson gas and the large deviation principle

M. van den Berg, T. C. Dorlas, J. T. Lewis, J. V. Pulé

School of Mathematical & Computer Sciences

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Abstract

This is a study of the equilibrium thermodynamics of a mean-field model of an interacting boson gas perturbed by a term quadratic in the occupation numbers of the free-gas energy-levels. We prove the existence of the pressure in the thermodynamic limit. We obtain also a variational formula for the pressure; this enables us to compare the effect of a smooth quadratic perturbation with that of a singular one (the Huang-Yang-Luttinger model). The proof uses a large deviation result for the occupation measure of the free boson gas which is of independent interest. © 1990 Springer-Verlag.

Original language	English
Pages (from-to)	41-69
Number of pages	29
Journal	Communications in Mathematical Physics
Volume	127
Issue number	1
DOIs	https://doi.org/10.1007/BF02096493
Publication status	Published - Jan 1990

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abstract = "This is a study of the equilibrium thermodynamics of a mean-field model of an interacting boson gas perturbed by a term quadratic in the occupation numbers of the free-gas energy-levels. We prove the existence of the pressure in the thermodynamic limit. We obtain also a variational formula for the pressure; this enables us to compare the effect of a smooth quadratic perturbation with that of a singular one (the Huang-Yang-Luttinger model). The proof uses a large deviation result for the occupation measure of the free boson gas which is of independent interest. {\textcopyright} 1990 Springer-Verlag.",

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AU - Dorlas, T. C.

AU - Lewis, J. T.

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AB - This is a study of the equilibrium thermodynamics of a mean-field model of an interacting boson gas perturbed by a term quadratic in the occupation numbers of the free-gas energy-levels. We prove the existence of the pressure in the thermodynamic limit. We obtain also a variational formula for the pressure; this enables us to compare the effect of a smooth quadratic perturbation with that of a singular one (the Huang-Yang-Luttinger model). The proof uses a large deviation result for the occupation measure of the free boson gas which is of independent interest. © 1990 Springer-Verlag.

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JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

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A perturbed mean field model of an interacting boson gas and the large deviation principle

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