• Corpus ID: 219635991

Lonely planets and light belts: the Statistical Mechanics of Gravitational Systems

  title={Lonely planets and light belts: the Statistical Mechanics of Gravitational Systems},
  author={Gabriella Pinzari and Benedetto Scoppola and Alessio Troiani},
  journal={arXiv: Mathematical Physics},
In this paper we propose a notion of stability, that we call $\varepsilon$-stability, for systems of particles interacting via Newton's gravitational potential, and orbiting around a much bigger object. For these systems the usual thermodynamical stability condition, ensuring the possibility to perform the thermodynamical limit, fails, but one can use as relevant parameter the maximum number of particles that guarantees the $\varepsilon$-stability. With some judicious but not particularly… 


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