Convective and rotational stability of a dilute plasma

The stability of a dilute plasma to local convective and rotational disturbances is examined. A subthermal magnetic field and finite thermal conductivity along the field lines are included in the analysis. Stability criteria similar in form to the classical Høiland inequalities are found, but with a...

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Main Author: Balbus, SA
Format: Journal article
Language:English
Published: Institute of Physics Publishing 2001
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author Balbus, SA
author_facet Balbus, SA
author_sort Balbus, SA
collection OXFORD
description The stability of a dilute plasma to local convective and rotational disturbances is examined. A subthermal magnetic field and finite thermal conductivity along the field lines are included in the analysis. Stability criteria similar in form to the classical Høiland inequalities are found, but with angular velocity gradients replacing angular momentum gradients, and temperature gradients replacing entropy gradients. These criteria are indifferent to the properties of the magnetic field and to the magnitude of the thermal conductivity. Angular velocity gradients and temperature gradients are both free energy sources; it is not surprising that they are directly relevant to the stability of the gas. Magnetic fields and thermal conductivity provide the means by which these sources can be tapped. Previous studies have generally been based upon the classical Holland criteria, which are inappropriate for magnetized, dilute astrophysical plasmas. In sharp contrast to recent claims in the literature, the new stability criteria demonstrate that marginal flow stability is not a fundamental property of accreting plasmas thought to be associated with low-luminosity X-ray sources. © 2001. The American Astronomical Society. All rights reserved.
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spelling oxford-uuid:9de45a8c-11d3-4ed3-8168-d6d562f9cd562022-03-27T00:46:21ZConvective and rotational stability of a dilute plasmaJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:9de45a8c-11d3-4ed3-8168-d6d562f9cd56EnglishSymplectic Elements at OxfordInstitute of Physics Publishing2001Balbus, SAThe stability of a dilute plasma to local convective and rotational disturbances is examined. A subthermal magnetic field and finite thermal conductivity along the field lines are included in the analysis. Stability criteria similar in form to the classical Høiland inequalities are found, but with angular velocity gradients replacing angular momentum gradients, and temperature gradients replacing entropy gradients. These criteria are indifferent to the properties of the magnetic field and to the magnitude of the thermal conductivity. Angular velocity gradients and temperature gradients are both free energy sources; it is not surprising that they are directly relevant to the stability of the gas. Magnetic fields and thermal conductivity provide the means by which these sources can be tapped. Previous studies have generally been based upon the classical Holland criteria, which are inappropriate for magnetized, dilute astrophysical plasmas. In sharp contrast to recent claims in the literature, the new stability criteria demonstrate that marginal flow stability is not a fundamental property of accreting plasmas thought to be associated with low-luminosity X-ray sources. © 2001. The American Astronomical Society. All rights reserved.
spellingShingle Balbus, SA
Convective and rotational stability of a dilute plasma
title Convective and rotational stability of a dilute plasma
title_full Convective and rotational stability of a dilute plasma
title_fullStr Convective and rotational stability of a dilute plasma
title_full_unstemmed Convective and rotational stability of a dilute plasma
title_short Convective and rotational stability of a dilute plasma
title_sort convective and rotational stability of a dilute plasma
work_keys_str_mv AT balbussa convectiveandrotationalstabilityofadiluteplasma