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Relativistic charge currents in oblique electric and magnetic fields

Published online by Cambridge University Press:  13 March 2009

Fulvio Melia  and
Marco Fatuzzo
Fulvio Melia
Affiliation:
Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208, U.S.A.
Marco Fatuzzo
Affiliation:
Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208, U.S.A.
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Abstract

Runaway processes on neutron stars leading to the sudden release of large quantities of energy (up to of order 1040 erg) on time scales as short as a fraction of a second involve plasma heating and particle acceleration in superstrong magnetic fields H (of order 1012 G). These transient events are interesting from a theoretical standpoint because they require knowledge of particle transport properties in low-density plasmas (εe ≲ 1025 cm−3) threaded by both electric (E) and magnetic fields. The evaluation of matrix elements involving solutions to the Dirac equation for such a field configuration is often difficult and sometimes impossible, since no completely normalized wave function has yet been found. Here it is shown that, in the special case of E/H ≲ 10−4, a simplification of the overlap integrals permits an analytical integration that yields explicit expressions for the relativistic charge currents needed in the computation of the anisotropic conductivity tensor when E.H ≠ 0. The application of these results to the evaluation of the conductivity is briefly discussed. Among other things, this work is relevant to a theory of resistive magnetic tearing instabilities in a quantizing field.

Type
Research Article
Information
Journal of Plasma Physics , Volume 45 , Issue 3 , June 1991 , pp. 415 - 425
Copyright
Copyright © Cambridge University Press 1991

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