Collisionless relaxation of self-gravitating systems with spherically symmetric dynamics

Abstract

view Abstract Citations (8) References (14) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Collisionless Relaxation of Self-gravitating Systems with Spherically Symmetric Dynamics Ziegler, Harald J. ; Wiechen, Heinz Abstract A recent theory of the collisionless relaxation of self-gravitating matter is applied to systems with spherically symmetric dynamics. Therefore consideration is given to additional constants of motion of the exact dynamics, which arise from the given symmetry, i.e. conservation of phase-space density and conservation of single particle angular momentum of the exact dynamics as well as total energy conservation and the mixing character of collisionless relaxation are considered. The strength of the relaxation process is governed by the amount of nonequilibrium energy of a given initial state. As can be expected by heuristic arguments the resulting final equilibrium states on macroscopic scales show a stronger dependence on the initial states compared with systems having an arbitrarily (more violent) dynamical evolution. Publication: The Astrophysical Journal Pub Date: October 1990 DOI: 10.1086/169298 Bibcode: 1990ApJ...362..595Z Keywords: Astrodynamics; Mathematical Models; Relaxation (Mechanics); Stellar Motions; Angular Momentum; Celestial Mechanics; Entropy; Equilibrium Equations; Operators (Mathematics); Astrophysics; STARS: STELLAR DYNAMICS full text sources ADS |