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

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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.

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Authors and Affiliations

  1. Department of Mathematics, Heriot-Watt University, Riccarton, EH144AS, Edinburgh, Scotland

    M. van den Berg

  2. School of Theoretical Physics, Dublin Institute for Advanced Studies, 10 Burlington Road, 4, Dublin, Ireland

    T. C. Dorlas, J. T. Lewis & J. V. Pulé

  3. Department of Mathematical Physics, University College, 4, Belfield, Dublin, Ireland

    J. V. Pulé

Authors
  1. M. van den Berg
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  2. T. C. Dorlas
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  3. J. T. Lewis
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  4. J. V. Pulé
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Communicated by J. Fröhlich

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van den Berg, M., Dorlas, T.C., Lewis, J.T. et al. The pressure in the Huang-Yang-Luttinger model of an interacting boson gas. Commun.Math. Phys. 128, 231–245 (1990). https://doi.org/10.1007/BF02108780

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  • DOI: https://doi.org/10.1007/BF02108780

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