Volume 50, Number 2, April II 2000
|Page(s)||148 - 154|
|Published online||01 September 2002|
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.