### Abstract

Resistive tearing is a primary candidate for flares occurring in stressed magnetic fields. Its possible application to the strongly magnetized environments (H_{z} ∼ 10^{12} 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 (n_{e}) plasma in oblique electric [E = (0, E_{y}, E_{z})] and magnetic fields. We discuss the mathematical formalism for calculating σ and present numerical results for the range of parameter values 10^{9} ≤ H_{z} ≤ 10^{12} G, E_{z}/H_{z} ≲ 10^{-4}, E_{y} ≲ 10^{-4}H_{z}^{2}/£2, and 10^{20} ≤ n_{e} ≤ 10^{25} cm^{-3}. Our results indicate that σ depends very strongly on both the applied electric and magnetic fields, and that σ ∼ E_{z}^{2} E_{z}/H_{z}^{2} over this range.

Original language | English (US) |
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Pages (from-to) | 198-207 |

Number of pages | 10 |

Journal | Astrophysical Journal |

Volume | 373 |

Issue number | 1 |

DOIs | |

State | Published - May 20 1991 |

Externally published | Yes |

### Keywords

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

### ASJC Scopus subject areas

- Astronomy and Astrophysics
- Space and Planetary Science

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## Cite this

*Astrophysical Journal*,

*373*(1), 198-207. https://doi.org/10.1086/170037