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Title: Collisionless tearing instability of a bi-Maxwellian neutral sheet with exact particle orbits. Interim report

Abstract

The tearing instability of a neutral sheet may be important to reconnection in the magnetosphere and elsewhere. The use of a bi-Maxwellian Harris equilibrium is broadly applicable to the physical environment and allows a continuous variation from isotropic situations. The integro-differential equation describing the linear tearing instability in the bi-Maxwellian neutral sheet is solved without approximating the particle orbits. Results of this calculation are presented. Comparison between the exact solution and the 3-region approximation motivates the piecewise-straight-line approximation, a simplification which allows faster solution of the integro-differential equation, yet retains the important features of the exact solution.

Authors:
;
Publication Date:
Research Org.:
Naval Research Lab., Washington, DC (USA)
OSTI Identifier:
5840977
Report Number(s):
AD-A-207310/4/XAB; NRL-MR-6405
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COLLISIONLESS PLASMA; PLASMA SHEET; EARTH MAGNETOSPHERE; TEARING INSTABILITY; ANISOTROPY; DIFFERENTIAL EQUATIONS; INTEGRAL EQUATIONS; MAGNETIC RECONNECTION; NEUTRAL PARTICLES; ORBITS; PROGRESS REPORT; STABILITY; VARIATIONS; DOCUMENT TYPES; EARTH ATMOSPHERE; EQUATIONS; INSTABILITY; PARTICLES; PLASMA; PLASMA INSTABILITY; PLASMA MACROINSTABILITIES; 700107* - Fusion Energy- Plasma Research- Instabilities; 640201 - Atmospheric Physics- Auroral, Ionospheric, & Magetospheric Phenomena

Citation Formats

Burkhart, G R, and Chen, J. Collisionless tearing instability of a bi-Maxwellian neutral sheet with exact particle orbits. Interim report. United States: N. p., 1989. Web.
Burkhart, G R, & Chen, J. Collisionless tearing instability of a bi-Maxwellian neutral sheet with exact particle orbits. Interim report. United States.
Burkhart, G R, and Chen, J. 1989. "Collisionless tearing instability of a bi-Maxwellian neutral sheet with exact particle orbits. Interim report". United States.
@article{osti_5840977,
title = {Collisionless tearing instability of a bi-Maxwellian neutral sheet with exact particle orbits. Interim report},
author = {Burkhart, G R and Chen, J},
abstractNote = {The tearing instability of a neutral sheet may be important to reconnection in the magnetosphere and elsewhere. The use of a bi-Maxwellian Harris equilibrium is broadly applicable to the physical environment and allows a continuous variation from isotropic situations. The integro-differential equation describing the linear tearing instability in the bi-Maxwellian neutral sheet is solved without approximating the particle orbits. Results of this calculation are presented. Comparison between the exact solution and the 3-region approximation motivates the piecewise-straight-line approximation, a simplification which allows faster solution of the integro-differential equation, yet retains the important features of the exact solution.},
doi = {},
url = {https://www.osti.gov/biblio/5840977}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Mon Mar 27 00:00:00 EST 1989},
month = {Mon Mar 27 00:00:00 EST 1989}
}

Technical Report:
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