Brownian motion of a massive binary
Dec, 200027 pages
Published in:
- Astrophys.J. 556 (2001) 245
e-Print:
- astro-ph/0012264 [astro-ph]
DOI:
Report number:
- RUTGERS-ASTROPHYSICS-PREPRINT-SERIES-NO-296-SUBJ-CLASS:-ASTROPHYSICS:-STATISTICA-L-MECHANICS
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Abstract: (arXiv)
The dynamical friction and diffusion coefficients are derived for a massive binary that moves against a uniform background of stars. The random impulses exerted on the binary's center of mass by the field stars are greater than those exerted on a point particle due to inelastic scattering. The frictional force acting on the binary is less than that acting on a point particle due to randomization of the trajectories of field stars that pass near the binary. Both effects tend to increase the random motion of a binary compared with that of a point mass. If the maximum effective impact parameter for gravitational encounters is comparable to the radius of gravitational influence of the binary, its Brownian velocity can be increased by a modest factor compared with that of a single particle. This condition is probably fulfilled in the case of binary supermassive black holes in galactic nuclei.References(28)
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