Communications in Mathematical Physics

, Volume 78, Issue 1, pp 83–98 | Cite as

Gravitating fermions in an infinite configuration space

  • A. Pflug


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.


Entropy Neural Network Phase Transition Free Energy Statistical Physic 
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Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • A. Pflug
    • 1
  1. 1.Institut für Theoretische PhysikUniversität WienWienAustria

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