Brownian dynamics around the core of self-gravitating systems

Details Brownian dynamics around the core of self-gravitating systems Brownian dynamics around the core of self-gravitating systems

2011-08-06

arxiv.org/abs/1108.1432v1

J. Phys. Soc. Jpn. 79 (2010) 063001

Astronomy and Astrophysics

Astrophysics

Galaxy Astrophysics

11 pages, 4 figures

Scientific paper

10.1143/JPSJ.79.063001

We derive the non-Maxwellian distribution of self-gravitating $N$-body systems around the core by a model based on the random process with the additive and the multiplicative noise. The number density can be obtained through the steady state solution of the Fokker-Planck equation corresponding to the random process. We exhibit that the number density becomes equal to that of the King model around the core by adjusting the friction coefficient and the intensity of the multiplicative noise. We also show that our model can be applied in the system which has a heavier particle. Moreover, we confirm the validity of our model by comparing with our numerical simulation.

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