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A global model for violent relaxation

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Abstract

A global model for violent relaxation in dynamical systems is developed on basis of the virial equation and a second equation which describes the approach to equilibrium of the potential energy. It is shown under very general arguments, that the central region of the system must shed mass to an extended envelope in the collapse episode. Specific upper and lower limits for the mass in the core can be calculated.

Comparison with numerical experiments agrees with the predictions of the model in a satisfactory fashion.

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Lambas, D.G., Mosconi, M.B. & Sérsic, J.L. A global model for violent relaxation. Astrophys Space Sci 113, 89–98 (1985). https://doi.org/10.1007/BF00650273

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  • DOI: https://doi.org/10.1007/BF00650273

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