A global model for violent relaxation

Mathematics – Dynamical Systems

Scientific paper

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Dynamical Systems, Gravitational Collapse, Gravitational Fields, Particle Interactions, Relaxation (Mechanics), Many Body Problem, Particle Motion, Potential Energy, Virial Theorem

Scientific paper

In the present global model for violent dynamical systems' relaxation, which is based on both the virial equation and an additional equation for the potential energy's approach to equilibrium, the central region of the system is shown in light of very general arguments to shed mass to an extended envelope in the collapse episode. Specific upper and lower limits for the mass in the core can be calculated. The standard Aarseth N-body code was used to describe mutual interactions, and comparison with numerical experiments yield agreement with model predictions.

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