Non-Uniform Mixing in Collisionless Self-Gravitating Systems

Details Non-Uniform Mixing in Collisionless Self-Gravitating Systems Non-Uniform Mixing in Collisionless Self-Gravitating Systems

Jan 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994mnras.266..263z&link_type=abstract

Monthly Notices of the Royal Astronomical Society, Vol. 266, NO. 1/JAN, P. 263, 1994

Astronomy and Astrophysics

Astronomy

7

Gravitation - Methods: Numerical - Celestial Mechanics, Stellar Dynamics

Scientific paper

The results of dynamical, spherically symmetric and fully three-dimensional numerical simulations of self-gravitating systems are analysed with respect to their mixing behaviour in phase space. The recent results of Nozakura are confirmed for different initial conditions and using a different code. A new data analysis strongly supports the view that mixing leads to globally stable states (lowest energy states on macroscopic scales) in the sense of Wiechen, Ziegler & Schindler for generic initial conditions that are moderately distant or far away from an equilibrium state. With increasing distance from an equilibrium state, however, mixing becomes non-uniform and the theoretical predictions based on the assumption of uniform mixing fail. Systems very far away from an equilibrium state typically relax not to a globally stable state, but to a locally stable one that is energetically close to a globally stable one.

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