Relativistic charge currents in oblique electric and magnetic fields

Fulvio Melia, Marco Fatuzzo

Research output: Contribution to journalArticle

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 (ne ≲ 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.

Original languageEnglish (US)
Pages (from-to)415-425
Number of pages11
JournalJournal of Plasma Physics
Volume45
Issue numberpt 3
StatePublished - Jun 1991
Externally publishedYes

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conductivity
tearing
plasma heating
electric fields
evaluation
particle acceleration
Dirac equation
simplification
magnetic fields
neutron stars
plasma density
transport properties
wave functions
tensors
matrices
configurations
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics

Cite this

Relativistic charge currents in oblique electric and magnetic fields. / Melia, Fulvio; Fatuzzo, Marco.

In: Journal of Plasma Physics, Vol. 45, No. pt 3, 06.1991, p. 415-425.

Research output: Contribution to journalArticle

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