The pressure in the Huang-Yang-Luttinger model of an interacting boson gas

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

Research output: Contribution to journalArticle

Abstract

This completes our study of the equilibrium thermodynamics of the Huang-Yang-Luttinger model of a boson gas with a hard-sphere repulsion. In an earlier paper we obtained a lower bound on the pressure, but our proof of an upper bound held only for a truncated version of the model. In this paper we establish an upper bound on the pressure in the full model; the upper and lower bounds coincide and provide a variational formula for the pressure. The proof relies on recent second-level large deviation results for the occupation measure of the free boson gas. © 1990 Springer-Verlag.

Original languageEnglish
Pages (from-to)231-245
Number of pages15
JournalCommunications in Mathematical Physics
Volume128
Issue number2
DOIs
Publication statusPublished - Mar 1990

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