Transverse conductivity of a relativistic plasma in oblique electric and magnetic fields

Fulvio Melia, Marco Fatuzzo

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Resistive tearing is a primary candidate for flares occurring in stressed magnetic fields. Its possible application to the strongly magnetized environments (Hz ∼ 1012 G) near the surface of neutron stars, particularly as a mechanism for generating the plasma heating and particle acceleration leading to gamma-ray bursts, has motivated a quantum treatment of this process, which requires knowledge of the electrical conductivity σ of a relativistic gas in a new domain, i.e., that of a low-density (ne) plasma in oblique electric [E = (0, Ey, Ez)] and magnetic fields. We discuss the mathematical formalism for calculating σ and present numerical results for the range of parameter values 109 ≤ Hz ≤ 1012 G, Ez/Hz ≲ 10-4, Ey ≲ 10-4Hz2/£2, and 1020 ≤ ne ≤ 1025 cm-3. Our results indicate that σ depends very strongly on both the applied electric and magnetic fields, and that σ ∼ Ez2 Ez/Hz2 over this range.

Original languageEnglish (US)
Pages (from-to)198-207
Number of pages10
JournalAstrophysical Journal
Volume373
Issue number1
StatePublished - May 20 1991
Externally publishedYes

Fingerprint

relativistic plasmas
electric field
conductivity
magnetic field
plasma
electric fields
magnetic fields
tearing
plasma heating
particle acceleration
gamma ray bursts
flares
neutron stars
plasma density
electrical conductivity
formalism
heating
electrical resistivity
gases
gas

Keywords

  • Gamma rays: bursts
  • Magnetic fields
  • Particle acceleration
  • Pulsars
  • Quantum mechanics
  • Stars: neutron

ASJC Scopus subject areas

  • Space and Planetary Science

Cite this

Transverse conductivity of a relativistic plasma in oblique electric and magnetic fields. / Melia, Fulvio; Fatuzzo, Marco.

In: Astrophysical Journal, Vol. 373, No. 1, 20.05.1991, p. 198-207.

Research output: Contribution to journalArticle

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