### 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) |
---|---|

Pages (from-to) | 198-207 |

Number of pages | 10 |

Journal | Astrophysical Journal |

Volume | 373 |

Issue number | 1 |

State | Published - May 20 1991 |

Externally published | Yes |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Space and Planetary Science

### Cite this

*Astrophysical Journal*,

*373*(1), 198-207.

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

Research output: Contribution to journal › Article

*Astrophysical Journal*, vol. 373, no. 1, pp. 198-207.

}

TY - JOUR

T1 - Transverse conductivity of a relativistic plasma in oblique electric and magnetic fields

AU - Melia, Fulvio

AU - Fatuzzo, Marco

PY - 1991/5/20

Y1 - 1991/5/20

N2 - 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.

AB - 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.

KW - Gamma rays: bursts

KW - Magnetic fields

KW - Particle acceleration

KW - Pulsars

KW - Quantum mechanics

KW - Stars: neutron

UR - http://www.scopus.com/inward/record.url?scp=12044252516&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=12044252516&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:12044252516

VL - 373

SP - 198

EP - 207

JO - Astrophysical Journal

JF - Astrophysical Journal

SN - 0004-637X

IS - 1

ER -