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

Bellan, Paul M.

doi:10.1063/1.4897375

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

Authors:

Bellan, Paul M. ^[1]

Applied Physics and Materials Science, Caltech, Pasadena, California 91125, USA

Publication Date:: Fri Oct 10 00:00:00 EDT 2014

Sponsoring Org.:: USDOE

OSTI Identifier:: 1223052

Grant/Contract Number:: FG02-04ER54755; SC0010471

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physics of Plasmas

Additional Journal Information:: Journal Name: Physics of Plasmas Journal Volume: 21 Journal Issue: 10; Journal ID: ISSN 1070-664X

Publisher:: American Institute of Physics

Country of Publication:: United States

Language:: English

Citation Formats


                    Bellan, Paul M. Fast, purely growing collisionless reconnection as an eigenfunction problem related to but not involving linear whistler waves.  United States: N. p., 2014. 
Web.  doi:10.1063/1.4897375.

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                    Bellan, Paul M. Fast, purely growing collisionless reconnection as an eigenfunction problem related to but not involving linear whistler waves.  United States.  https://doi.org/10.1063/1.4897375

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                    Bellan, Paul M. Fri .  
"Fast, purely growing collisionless reconnection as an eigenfunction problem related to but not involving linear whistler waves".  United States.  https://doi.org/10.1063/1.4897375.

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@article{osti_1223052,

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

  author       = {Bellan, Paul M.},

  abstractNote = {},

  doi          = {10.1063/1.4897375},

  journal      = {Physics of Plasmas},

  number       = 10,

  volume       = 21,

  place        = {United States},

  year         = {Fri Oct 10 00:00:00 EDT 2014},

  month        = {Fri Oct 10 00:00:00 EDT 2014}

}

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Works referenced in this record:

Magnetic Reconnection
book, October 2009

Priest, Eric; Forbes, Terry
DOI: 10.1017/CBO9780511525087

Electron Whistler Mode Waves Associated with Collisionless Magnetic Reconnection
journal, February 2011

Guo, Jun; Yu, Bin; Guo, Guang-Hai
Chinese Physics Letters, Vol. 28, Issue 2
DOI: 10.1088/0256-307X/28/2/025201

Catastrophe Model for Fast Magnetic Reconnection Onset
journal, November 2005

Cassak, P. A.; Shay, M. A.; Drake, J. F.
Physical Review Letters, Vol. 95, Issue 23
DOI: 10.1103/PhysRevLett.95.235002

A loop-top hard X-ray source in a compact solar flare as evidence for magnetic reconnection
journal, October 1994

Masuda, S.; Kosugi, T.; Hara, H.
Nature, Vol. 371, Issue 6497
DOI: 10.1038/371495a0

Experimental study of two-fluid effects on magnetic reconnection in a laboratory plasma with variable collisionality
journal, May 2006

Yamada, Masaaki; Ren, Yang; Ji, Hantao
Physics of Plasmas, Vol. 13, Issue 5
DOI: 10.1063/1.2203950

The Internal-Collision-Induced Magnetic Reconnection and Turbulence (Icmart) Model of Gamma-Ray Bursts
journal, December 2010

Zhang, Bing; Yan, Huirong
The Astrophysical Journal, Vol. 726, Issue 2
DOI: 10.1088/0004-637X/726/2/90

Magnetic reconnection in electron magnetohydrodynamics
journal, August 1992

Bulanov, S. V.; Pegoraro, F.; Sakharov, A. S.
Physics of Fluids B: Plasma Physics, Vol. 4, Issue 8
DOI: 10.1063/1.860467

Rapid magnetic reconnection in the Earth’s magnetosphere mediated by whistler waves
journal, March 2001

Deng, X. H.; Matsumoto, H.
Nature, Vol. 410, Issue 6828
DOI: 10.1038/35069018

Dynamics of the Geomagnetic Tail
journal, June 1966

Coppi, B.; Laval, G.; Pellat, R.
Physical Review Letters, Vol. 16, Issue 26
DOI: 10.1103/PhysRevLett.16.1207

Runaway acceleration during magnetic reconnection in tokamaks
journal, November 2002

Helander, P.; Eriksson, L-G; Andersson, F.
Plasma Physics and Controlled Fusion, Vol. 44, Issue 12B
DOI: 10.1088/0741-3335/44/12B/318

Whistler waves associated with magnetic reconnection
journal, January 2008

Fujimoto, Keizo; Sydora, Richard D.
Geophysical Research Letters, Vol. 35, Issue 19
DOI: 10.1029/2008GL035201

Fast collisionless reconnection in the whistler frequency range
journal, June 2000

Attico, N.; Califano, F.; Pegoraro, F.
Physics of Plasmas, Vol. 7, Issue 6
DOI: 10.1063/1.874076

Energetic particles from three-dimensional magnetic reconnection events in the Swarthmore Spheromak Experiment
journal, May 2002

Brown, M. R.; Cothran, C. D.; Landreman, M.
Physics of Plasmas, Vol. 9, Issue 5
DOI: 10.1063/1.1458589

Experimental investigation of three-component magnetic reconnection by use of merging spheromaks and tokamaks
journal, May 1997

Ono, Y.; Inomoto, M.; Okazaki, T.
Physics of Plasmas, Vol. 4, Issue 5
DOI: 10.1063/1.872337

Geospace Environmental Modeling (GEM) Magnetic Reconnection Challenge
journal, March 2001

Birn, J.; Drake, J. F.; Shay, M. A.
Journal of Geophysical Research: Space Physics, Vol. 106, Issue A3
DOI: 10.1029/1999JA900449

Identification of the Electron-Diffusion Region during Magnetic Reconnection in a Laboratory Plasma
journal, August 2008

Ren, Yang; Yamada, Masaaki; Ji, Hantao
Physical Review Letters, Vol. 101, Issue 8
DOI: 10.1103/PhysRevLett.101.085003

Transition to whistler mediated magnetic reconnection
journal, January 1994

Mandt, M. E.; Denton, R. E.; Drake, J. F.
Geophysical Research Letters, Vol. 21, Issue 1
DOI: 10.1029/93GL03382

On a plasma sheath separating regions of oppositely directed magnetic field
journal, January 1962

Harris, E. G.
Il Nuovo Cimento, Vol. 23, Issue 1
DOI: 10.1007/BF02733547

Generalized Ohm's law in a 3-D reconnection experiment
journal, January 2005

Cothran, C. D.
Geophysical Research Letters, Vol. 32, Issue 3
DOI: 10.1029/2004GL021245

Geospace Environment Modeling magnetic reconnection challenge: Simulations with a full particle electromagnetic code
journal, March 2001

Pritchett, P. L.
Journal of Geophysical Research: Space Physics, Vol. 106, Issue A3
DOI: 10.1029/1999JA001006

In situ detection of collisionless reconnection in the Earth's magnetotail
journal, July 2001

Øieroset, M.; Phan, T. D.; Fujimoto, M.
Nature, Vol. 412, Issue 6845
DOI: 10.1038/35086520

Magnetic reconnection
journal, March 2010

Yamada, Masaaki; Kulsrud, Russell; Ji, Hantao
Reviews of Modern Physics, Vol. 82, Issue 1
DOI: 10.1103/RevModPhys.82.603

Physical constraints on the coefficients of Fourier expansions in cylindrical coordinates
journal, November 1990

Lewis, H. Ralph; Bellan, Paul M.
Journal of Mathematical Physics, Vol. 31, Issue 11
DOI: 10.1063/1.529009

Experimental studies of magnetic reconnection
journal, May 1999

Brown, M. R.
Physics of Plasmas, Vol. 6, Issue 5
DOI: 10.1063/1.873430

Finite-Resistivity Instabilities of a Sheet Pinch
journal, January 1963

Furth, Harold P.; Killeen, John; Rosenbluth, Marshall N.
Physics of Fluids, Vol. 6, Issue 4
DOI: 10.1063/1.1706761

Current sheet structure near magnetic X-line observed by Cluster
journal, January 2003

Runov, A.
Geophysical Research Letters, Vol. 30, Issue 11
DOI: 10.1029/2002GL016730

An Effective Numerical Method for Linear Mode Conversion Problems
journal, September 1997

Bellan, P. M.
Journal of Computational Physics, Vol. 136, Issue 2
DOI: 10.1006/jcph.1997.5792

Collapse of the neutral current sheet and reconnection at micro-scales
journal, April 2008

Shaikhislamov, I. F.
Journal of Plasma Physics, Vol. 74, Issue 2
DOI: 10.1017/S0022377807006757

Role of Dispersive Waves in Collisionless Magnetic Reconnection
journal, October 2001

Rogers, B. N.; Denton, R. E.; Drake, J. F.
Physical Review Letters, Vol. 87, Issue 19
DOI: 10.1103/PhysRevLett.87.195004

New insights into dissipation in the electron layer during magnetic reconnection
journal, January 2008

Ji, H.; Ren, Y.; Yamada, M.
Geophysical Research Letters, Vol. 35, Issue 13
DOI: 10.1029/2008GL034538

Two fluid effects on three-dimensional reconnection in the Swarthmore Spheromak Experiment with comparisons to space data
journal, May 2006

Brown, M. R.; Cothran, C. D.; Fung, J.
Physics of Plasmas, Vol. 13, Issue 5
DOI: 10.1063/1.2180729

Experimental investigation of the neutral sheet profile during magnetic reconnection
journal, May 2000

Yamada, Masaaki; Ji, Hantao; Hsu, Scott
Physics of Plasmas, Vol. 7, Issue 5
DOI: 10.1063/1.873999

Experimental study of the Hall effect and electron diffusion region during magnetic reconnection in a laboratory plasma
journal, August 2008

Ren, Yang; Yamada, Masaaki; Ji, Hantao
Physics of Plasmas, Vol. 15, Issue 8
DOI: 10.1063/1.2936269

Recent Evolution in the Theory of Magnetic Reconnection and Its Connection with Turbulence
journal, September 2013

Karimabadi, Homa; Roytershteyn, Vadim; Daughton, William
Space Science Reviews, Vol. 178, Issue 2-4
DOI: 10.1007/s11214-013-0021-7

Sweet's mechanism for merging magnetic fields in conducting fluids
journal, December 1957

Parker, E. N.
Journal of Geophysical Research, Vol. 62, Issue 4
DOI: 10.1029/JZ062i004p00509

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

Citation Formats

Magnetic Reconnection book, October 2009

Electron Whistler Mode Waves Associated with Collisionless Magnetic Reconnection journal, February 2011

Catastrophe Model for Fast Magnetic Reconnection Onset journal, November 2005

A loop-top hard X-ray source in a compact solar flare as evidence for magnetic reconnection journal, October 1994

Experimental study of two-fluid effects on magnetic reconnection in a laboratory plasma with variable collisionality journal, May 2006

The Internal-Collision-Induced Magnetic Reconnection and Turbulence (Icmart) Model of Gamma-Ray Bursts journal, December 2010

Magnetic reconnection in electron magnetohydrodynamics journal, August 1992

Rapid magnetic reconnection in the Earth’s magnetosphere mediated by whistler waves journal, March 2001

Dynamics of the Geomagnetic Tail journal, June 1966

Runaway acceleration during magnetic reconnection in tokamaks journal, November 2002

Whistler waves associated with magnetic reconnection journal, January 2008

Fast collisionless reconnection in the whistler frequency range journal, June 2000

Energetic particles from three-dimensional magnetic reconnection events in the Swarthmore Spheromak Experiment journal, May 2002

Experimental investigation of three-component magnetic reconnection by use of merging spheromaks and tokamaks journal, May 1997

Geospace Environmental Modeling (GEM) Magnetic Reconnection Challenge journal, March 2001

Identification of the Electron-Diffusion Region during Magnetic Reconnection in a Laboratory Plasma journal, August 2008

Transition to whistler mediated magnetic reconnection journal, January 1994

On a plasma sheath separating regions of oppositely directed magnetic field journal, January 1962

Generalized Ohm's law in a 3-D reconnection experiment journal, January 2005

Geospace Environment Modeling magnetic reconnection challenge: Simulations with a full particle electromagnetic code journal, March 2001

In situ detection of collisionless reconnection in the Earth's magnetotail journal, July 2001

Magnetic reconnection journal, March 2010

Physical constraints on the coefficients of Fourier expansions in cylindrical coordinates journal, November 1990

Experimental studies of magnetic reconnection journal, May 1999

Finite-Resistivity Instabilities of a Sheet Pinch journal, January 1963

Current sheet structure near magnetic X-line observed by Cluster journal, January 2003

An Effective Numerical Method for Linear Mode Conversion Problems journal, September 1997

Collapse of the neutral current sheet and reconnection at micro-scales journal, April 2008

Role of Dispersive Waves in Collisionless Magnetic Reconnection journal, October 2001

New insights into dissipation in the electron layer during magnetic reconnection journal, January 2008

Two fluid effects on three-dimensional reconnection in the Swarthmore Spheromak Experiment with comparisons to space data journal, May 2006

Experimental investigation of the neutral sheet profile during magnetic reconnection journal, May 2000

Experimental study of the Hall effect and electron diffusion region during magnetic reconnection in a laboratory plasma journal, August 2008

Recent Evolution in the Theory of Magnetic Reconnection and Its Connection with Turbulence journal, September 2013

Sweet's mechanism for merging magnetic fields in conducting fluids journal, December 1957

Magnetic Reconnection
book, October 2009

Electron Whistler Mode Waves Associated with Collisionless Magnetic Reconnection
journal, February 2011

Catastrophe Model for Fast Magnetic Reconnection Onset
journal, November 2005

A loop-top hard X-ray source in a compact solar flare as evidence for magnetic reconnection
journal, October 1994

Experimental study of two-fluid effects on magnetic reconnection in a laboratory plasma with variable collisionality
journal, May 2006

The Internal-Collision-Induced Magnetic Reconnection and Turbulence (Icmart) Model of Gamma-Ray Bursts
journal, December 2010

Magnetic reconnection in electron magnetohydrodynamics
journal, August 1992

Rapid magnetic reconnection in the Earth’s magnetosphere mediated by whistler waves
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Dynamics of the Geomagnetic Tail
journal, June 1966

Runaway acceleration during magnetic reconnection in tokamaks
journal, November 2002

Whistler waves associated with magnetic reconnection
journal, January 2008

Fast collisionless reconnection in the whistler frequency range
journal, June 2000

Energetic particles from three-dimensional magnetic reconnection events in the Swarthmore Spheromak Experiment
journal, May 2002

Experimental investigation of three-component magnetic reconnection by use of merging spheromaks and tokamaks
journal, May 1997

Geospace Environmental Modeling (GEM) Magnetic Reconnection Challenge
journal, March 2001

Identification of the Electron-Diffusion Region during Magnetic Reconnection in a Laboratory Plasma
journal, August 2008

Transition to whistler mediated magnetic reconnection
journal, January 1994

On a plasma sheath separating regions of oppositely directed magnetic field
journal, January 1962

Generalized Ohm's law in a 3-D reconnection experiment
journal, January 2005

Geospace Environment Modeling magnetic reconnection challenge: Simulations with a full particle electromagnetic code
journal, March 2001

In situ detection of collisionless reconnection in the Earth's magnetotail
journal, July 2001

Magnetic reconnection
journal, March 2010

Physical constraints on the coefficients of Fourier expansions in cylindrical coordinates
journal, November 1990

Experimental studies of magnetic reconnection
journal, May 1999

Finite-Resistivity Instabilities of a Sheet Pinch
journal, January 1963

Current sheet structure near magnetic X-line observed by Cluster
journal, January 2003

An Effective Numerical Method for Linear Mode Conversion Problems
journal, September 1997

Collapse of the neutral current sheet and reconnection at micro-scales
journal, April 2008

Role of Dispersive Waves in Collisionless Magnetic Reconnection
journal, October 2001

New insights into dissipation in the electron layer during magnetic reconnection
journal, January 2008

Two fluid effects on three-dimensional reconnection in the Swarthmore Spheromak Experiment with comparisons to space data
journal, May 2006

Experimental investigation of the neutral sheet profile during magnetic reconnection
journal, May 2000

Experimental study of the Hall effect and electron diffusion region during magnetic reconnection in a laboratory plasma
journal, August 2008

Recent Evolution in the Theory of Magnetic Reconnection and Its Connection with Turbulence
journal, September 2013

Sweet's mechanism for merging magnetic fields in conducting fluids
journal, December 1957