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Fast, purely growing collisionless reconnection as an eigenfunction problem related to but not involving linear whistler waves

Bellan, Paul M. (2014) Fast, purely growing collisionless reconnection as an eigenfunction problem related to but not involving linear whistler waves. Physics of Plasmas, 21 (10). Art. No. 102108. ISSN 1070-664X. https://resolver.caltech.edu/CaltechAUTHORS:20141020-084502037

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Abstract

If either finite electron inertia or finite resistivity is included in 2D magnetic reconnection, the two-fluid equations become a pair of second-order differential equations coupling the out-of-plane magnetic field and vector potential to each other to form a fourth-order system. The coupling at an X-point is such that out-of-plane even-parity electric and odd-parity magnetic fields feed off each other to produce instability if the scale length on which the equilibrium magnetic field changes is less than the ion skin depth. The instability growth rate is given by an eigenvalue of the fourth-order system determined by boundary and symmetry conditions. The instability is a purely growing mode, not a wave, and has growth rate of the order of the whistler frequency. The spatial profile of both the out-of-plane electric and magnetic eigenfunctions consists of an inner concave region having extent of the order of the electron skin depth, an intermediate convex region having extent of the order of the equilibrium magnetic field scale length, and a concave outer exponentially decaying region. If finite electron inertia and resistivity are not included, the inner concave region does not exist and the coupled pair of equations reduces to a second-order differential equation having non-physical solutions at an X-point.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://scitation.aip.org/content/aip/journal/pop/21/10/10.1063/1.4897375PublisherArticle
http://dx.doi.org/10.1063/1.4897375DOIArticle
ORCID:
AuthorORCID
Bellan, Paul M.0000-0002-0886-8782
Additional Information:© 2014 AIP Publishing LLC. Received 3 August 2014; accepted 23 September 2014; published online 10 October 2014. This material is based upon work supported by the U.S. Department of Energy Office of Science, Office of Fusion Energy Sciences under Award Nos. DE-FG02-04ER54755 and DE-SC0010471, by the National Science Foundation under Award No. 1059519, and by the Air Force Office of Scientific Research under Award No. FA9550-11-1-0184.
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG02-04ER54755
Department of Energy (DOE)DE-SC0010471
NSFAGS-1059519
Air Force Office of Scientific Research (AFOSR)FA9550-11-1-0184
Issue or Number:10
Record Number:CaltechAUTHORS:20141020-084502037
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20141020-084502037
Official Citation:Fast, purely growing collisionless reconnection as an eigenfunction problem related to but not involving linear whistler waves Paul M. Bellan Phys. Plasmas 21, 102108 (2014); http://dx.doi.org/10.1063/1.4897375
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:50526
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:20 Oct 2014 15:58
Last Modified:03 Oct 2019 07:24

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