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Gravitating fermions in an infinite configuration space

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Abstract

For a system of (infinitely many) nonrelativistic gravitating fermions described rigorously by Thomas-Fermi theory, a nontrivial limit of infinite configuration volume |∧| is shown to exist for the microcanonical free energy, and for the entropy divided by log|∧|. It can be calculated explicitly using the scaling behaviour of the (ground state). Thomas-Fermi equation and shows a phase transition at zero energy. For all (possible) negative energies, the heat capacity of the infinitely extended system is negative and a nonzero fraction of the particles is in the condensed phase.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5, A-1090, Wien, Austria

    A. Pflug

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  1. A. Pflug
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Additional information

Communicated by E. Lieb

Work supported in part by Fonds zur Förderung der wissenschaftlichen Forschung in Österreich, Project No. 3569

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Pflug, A. Gravitating fermions in an infinite configuration space. Commun.Math. Phys. 78, 83–98 (1980). https://doi.org/10.1007/BF01941971

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  • DOI: https://doi.org/10.1007/BF01941971

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