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. https://resolver.caltech.edu/CaltechAUTHORS:20170408-194203493
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Abstract
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.
Item Type: | Article | |||||||||
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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. | |||||||||
Group: | TAPIR | |||||||||
Subject Keywords: | accretion, accretion discs, instabilities, MHD, neutrinos, gamma-rays: bursts | |||||||||
Issue or Number: | 2 | |||||||||
DOI: | 10.1111/j.1365-2966.2004.08329.x | |||||||||
Record Number: | CaltechAUTHORS:20170408-194203493 | |||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170408-194203493 | |||||||||
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, https://doi.org/10.1111/j.1365-2966.2004.08329.x | |||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
ID Code: | 76369 | |||||||||
Collection: | CaltechAUTHORS | |||||||||
Deposited By: | 1Science Import | |||||||||
Deposited On: | 30 Mar 2018 19:46 | |||||||||
Last Modified: | 15 Nov 2021 16:59 |
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