Violent Relaxation: Difficulties with Maximum Entropy States

  • H. Wiechen
  • H. J. Ziegler


We prove that for all entropy-like concave functionals stationary points do not exist for arbitrary fixed total mass and energy, considering isolated self-gravitating systems in ℜ3. Only for a special choice for mass and energy, solutions of the variational problem are possible.


Total Mass Stationary Point Convex Function Variational Problem Maximum Entropy 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • H. Wiechen
    • 1
  • H. J. Ziegler
    • 1
  1. 1.Theoretische Physik IVRuhr-Universität BochumBochum 1Fed. Rep. of Germany

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