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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/6679
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dc.contributor.authorSridhar, S.-
dc.contributor.authorTouma, Jihad R.-
dc.date.accessioned2017-07-19T07:58:38Z-
dc.date.available2017-07-19T07:58:38Z-
dc.date.issued2017-02-
dc.identifier.citationMonthly Notices of the Royal Astronomical Society, 2017, Vol. 465, p1856-1878en_US
dc.identifier.issn0035-8711-
dc.identifier.issn1365-2966 - (online)-
dc.identifier.urihttp://hdl.handle.net/2289/6679-
dc.descriptionOpen Accessen_US
dc.description.abstractWe study the resonant relaxation (RR) of an axisymmetric, low-mass (or Keplerian) stellar disc orbiting a more massive black hole (MBH). Our recent work on the general kinetic theory of RR is simplified in the standard manner by the neglect of ‘gravitational polarization’ and applied to a razor-thin axisymmetric disc. The wake of a stellar orbit is expressed in terms of the angular momenta exchanged with other orbits, and used to derive a kinetic equation for RR under the combined actions of self-gravity, 1 PN and 1.5 PN general relativistic effects of the MBH and an arbitrary external axisymmetric potential. This is a Fokker–Planck equation for the stellar distribution function (DF), wherein the diffusion coefficients are given self-consistently in terms of contributions from apsidal resonances between pairs of stellar orbits. The physical kinetics is studied for the two main cases of interest. (1) ‘Lossless’ discs in which the MBH is not a sink of stars, and disc mass, angular momentum and energy are conserved: we prove that general H-functions can increase or decrease during RR, but the Boltzmann entropy is (essentially) unique in being a non-decreasing function of time. Therefore, secular thermal equilibria are maximum entropy states, with DFs of the Boltzmann form; the two-ring correlation function at equilibrium is computed. (2) Discs that lose stars to the MBH through an ‘empty loss cone’: we derive expressions for the MBH feeding rates of mass, angular momentum and energy in terms of the diffusive fluxes at the loss-cone boundaries.en_US
dc.language.isoenen_US
dc.publisherOxford University Press for the Royal Astronomical Societyen_US
dc.relation.urihttp://adsabs.harvard.edu/abs/2017MNRAS.465.1856Sen_US
dc.relation.urihttp://arxiv.org/abs/1602.05763en_US
dc.relation.urihttp://dx.doi.org/10.1093/mnras/stw2765en_US
dc.rights2016 The authors & the Royal Astronomical Societyen_US
dc.subjectCentre galaxiesen_US
dc.subjectKinematics and dynamics galaxiesen_US
dc.titleStellar dynamics around a massive black hole III: Resonant relaxation of axisymmetric discs.en_US
dc.typeArticleen_US
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