Thermodynamics of the self-gravitating ring model.

@article{Tatekawa2005ThermodynamicsOT,
  title={Thermodynamics of the self-gravitating ring model.},
  author={Takayuki Tatekawa and Freddy Bouchet and Thierry Dauxois and Stefano Ruffo},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2005},
  volume={71 5 Pt 2},
  pages={056111}
}
We present the phase diagram, in both the microcanonical and the canonical ensemble, of the self-gravitating-ring (SGR) model, which describes the motion of equal point masses constrained on a ring and subject to 3D gravitational attraction. If the interaction is regularized at short distances by the introduction of a softening parameter, a global entropy maximum always exists, and thermodynamics is well defined in the mean-field limit. However, ensembles are not equivalent and a phase of… CONTINUE READING
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