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Energetics and the resistive tearing mode - Effects of Joule heating and radiationThe contribution of energy flux to the dynamics of magnetic field reconnection is analytically studied in order to determine the influence of Joule heating and radiation on the linear development of the tearing instability in slab geometry. A temperature-dependent Coulomb-like resistivity is used to provide the coupling between the dynamics and the energy equation. Analytical expressions are derived for the growth rates utilizing constant-psi and long-wavelength approximations. The solutions indicate the occurrence of several modes in addition to the usual tearing mode, several of which have relatively slow, complex growth rates. At large values of the magnetic Reynolds number, there are at least two modes with purely exponential growth when the radiative loss decreases with increasing temperature. If the radiation is neglected, the Joule heating alone also results in two modes with real, positive growth at large S. Below a particular value of S, all the modes are generally stabilized.
Document ID
19830064797
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Steinolfson, R. S.
(California, University Irvine, CA, United States)
Date Acquired
August 11, 2013
Publication Date
September 1, 1983
Publication Information
Publication: Physics of Fluids
Volume: 26
ISSN: 0031-9171
Subject Category
Plasma Physics
Accession Number
83A46015
Funding Number(s)
CONTRACT_GRANT: NSF ATM-79-11912
CONTRACT_GRANT: NAGW-93
Distribution Limits
Public
Copyright
Other

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