Statistical mechanics of point particles with a gravitational interaction
Institut Fourier, Université Joseph Fourier 38402 Saint Martin d'Hères Cedex, France
2 Laboratoire de Physique Statistique, Ecole Normale Supérieure 24 rue Lhomond, 75231 Paris Cedex 05, France
Corresponding author: firstname.lastname@example.org
Accepted: 2 February 2000
We study the dynamics of N point particles with a gravitational interaction. The divergence of the microcanonical partition function prevents this system from reaching equilibrium. Assuming a random diffusion in phase space we deduce a scaling law involving time, which is numerically checked for 3 interacting masses in a quadratic nonsymmetrical potential. This random walk on the potential energy scale is studied in some detail and the results agree with the numerics.
PACS: 05.20-y – Classical statistical mechanics / 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 95.10.Ce – Celestial mechanics (including n-body problems)
© EDP Sciences, 2000