Numerical Experiments on Lynden-Bell’s Statistics

  • Myron Lecar
  • Leon Cohen
Conference paper
Part of the Astrophysics and Space Science Library book series (ASSL, volume 31)


We performed computer experiments on 13 different initial configurations of one-dimensional self-gravitating systems. The three most and the three least violently relaxed systems were compared with the predictions of Lynden-Bell’s statistical mechanics. The agreement between the experimental results and the theoretical predictions became worse as the relaxation became more violent. While all six systems were theoretically nondegenerate, the violent systems invariably flung out a halo that took most of the energy, leaving behind a low-energy degenerate core.


Phase Density Elliptical Galaxy Virial Theorem Monthly Notice Violent System 
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Copyright information

© D. Reidel Publishing Company, Dordrecht, Holland 1972

Authors and Affiliations

  • Myron Lecar
    • 1
  • Leon Cohen
    • 2
  1. 1.Smithsonian Astrophysical Observatory and Harvard College ObservatoryCambridgeUSA
  2. 2.Hunter College of the City University of New YorkNew YorkUSA

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