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Radiative heat conduction and the magnetorotational instability

Araya-Góchez, Rafael A. and Vishniac, Ethan T. (2004) Radiative heat conduction and the magnetorotational instability. Monthly Notices of the Royal Astronomical Society, 355 (2). pp. 345-351. ISSN 0035-8711. doi:10.1111/j.1365-2966.2004.08329.x.

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A photon or a neutrino gas, semicontained by a non-diffusive particle species through scattering, comprises a rather peculiar magnetohydrodynamic fluid where the magnetic field is truly frozen only to the comoving volume associated with the mass density. Although radiative diffusion precludes a formal adiabatic treatment of compressive perturbations, we cast the energy equation in quasi-adiabatic form by assuming a negligible rate of energy exchange among species on the time-scale of the perturbation. This leads to a simplified dispersion relation for toroidal, non-axisymmetric magnetorotational modes when the accretion disc has comparable stress contributions from diffusive and non-diffusive components. The properties of the modes of fastest growth are shown to depend strongly on the compressibility of the mode, with a reduction in growth rate consistent with the results of Blaes & Socrates for axisymmetric modes. A clumpy disc structure is anticipated on the basis of the polarization properties of the fastest-growing modes. This analysis is accurate in the near-hole region of locally cooled, hyper-accreting flows if the electron gas becomes moderately degenerate such that non-conductive, thermalizing processes with associated electron–positron release (i.e. neutrino annihilation and neutrino absorption on to nuclei) are effectively blocked by high occupation of the Fermi levels.

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Additional Information:© 2004 RAS. Accepted 2004 August 17. Received 2004 August 4; in original form 2003 December 1. RAG would like to acknowledge discussions with Omer Blaes and the hospitality of Caltech's Theoretical Astrophysics and Relativity Group.
Subject Keywords:accretion, accretion discs, instabilities, MHD, neutrinos, gamma-rays: bursts
Issue or Number:2
Record Number:CaltechAUTHORS:20170408-194203493
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Official Citation:Rafael A. Araya-Góchez, Ethan T. Vishniac; Radiative heat conduction and the magnetorotational instability, Monthly Notices of the Royal Astronomical Society, Volume 355, Issue 2, 1 December 2004, Pages 345–351,
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:76369
Deposited By: 1Science Import
Deposited On:30 Mar 2018 19:46
Last Modified:15 Nov 2021 16:59

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