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Nonlinear Hall effect in a stationary cylinder with a radial heat flux

Published online by Cambridge University Press:  15 February 2024

G.S. Bisnovatyi-Kogan Open the ORCID record for G.S. Bisnovatyi-Kogan [Opens in a new window]  and
M.V. Glushikhina Open the ORCID record for M.V. Glushikhina [Opens in a new window]
G.S. Bisnovatyi-Kogan
Affiliation:
Space Research Institute of Russian Academy of Sciences, 84/32, Profsoyuznaya str., 117997 Moscow, Russia National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 31, Kashirskoe shosse, 115409 Moscow, Russia
M.V. Glushikhina*
Affiliation:
Space Research Institute of Russian Academy of Sciences, 84/32, Profsoyuznaya str., 117997 Moscow, Russia
*
†Email address for correspondence: m.glushikhina@cosmos.ru
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Abstract

A conducting cylinder with a uniform magnetic field along its axis and radial temperature gradient is considered at the stationary state. At large temperature gradients the azimuthal Hall electrical current creates an axial magnetic field whose strength may be comparable with the original one. It is shown that the magnetic field, generated by the azimuthal Hall current, leads to the decrease of a magnetic field originated by external sources, and this suppression increases with an increase of the electromotive force, connected with thermodiffusion. Obtained results can help to investigate the influence of the Hall current on the coupled magnetothermal evolution of magnetic and electric fields in neutron stars, white dwarfs and, possibly, in laboratory facilities.

Keywords

plasma nonlinear phenomenaastrophysical plasmasplasma properties
Type
Research Article
Information
Journal of Plasma Physics , Volume 90 , Issue 1 , June 2024 , 905900112
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Copyright
Copyright © The Author(s), 2024. Published by Cambridge University Press

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