Analytic Model for the Time-dependent Electromagnetic Field of an Astrophysical Jet

Creators: Bellan, P. M.

Abstract

An analytic model of the time-dependent electric and magnetic fields of an astrophysical jet is presented. These fields satisfy the time-dependent Faraday's law and describe a jet with increasing length. The electric field contains both electrostatic and inductive parts. The electrostatic part corresponds to the rate of injection of toroidal magnetic flux, while the sum of the electrostatic and inductive parts results in the electric field parallel to the magnetic field being zero everywhere. The pinch force associated with the electric current provides a peaked pressure on the jet axis and a pressure minimum at the radius where the poloidal magnetic field reverses direction.

Additional Information

© 2020. The American Astronomical Society. Received 2019 May 20; revised 2019 November 17; accepted 2019 December 3; published 2020 January 9. This material is based upon work supported by the NSF/DOE Partnership in Plasma Science and Engineering via U.S. Department of Energy Office of Science, Office of Fusion Energy Sciences via Award Number DE-FG02-04ER54755, by the USDOE ARPA-E via Award Number DE-AR0000565, by the Air Force Office of Scientific Research via Award Number FA9550-11-1-0184, and by the National Science Foundation Division of Atmospheric and Geospace Sciences via Award Number 1914599.

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