Abstract
This paper considers the nonlinear effects of collective fluctuations about a slowly-varying solution of the ‘collisionless Boltzmann’ equation appropriate for a system of stars with a distribution of masses. It is argued that these effects should be manifest on a time-scalet M intermediate between the violent and collisional relaxation times, inhibiting the natural progression towards equipartition induced by collisions, and favouring instead a ‘well-mixed’ state, realized in numerical simulations, in which the mean square velocity is independent of the mass.
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Kandrup, H.E., Severne, G. Mean field fluctuations and the evolution of self-gravitating systems. Astrophys Space Sci 126, 177–184 (1986). https://doi.org/10.1007/BF00644185
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DOI: https://doi.org/10.1007/BF00644185