Woltjer-Taylor State without Taylor’s Conjecture: Plasma Relaxation at all Wavelengths

Qin, Hong; Liu, Wandong; Li, Hong; Squire, Jonathan

doi:10.1103/PhysRevLett.109.235001

Title: Woltjer-Taylor State without Taylor’s Conjecture: Plasma Relaxation at all Wavelengths

Authors:: Qin, Hong; Liu, Wandong; Li, Hong; Squire, Jonathan

Publication Date:: Mon Dec 03 00:00:00 EST 2012

Sponsoring Org.:: USDOE

OSTI Identifier:: 1102451

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Name: Physical Review Letters Journal Volume: 109 Journal Issue: 23; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Qin, Hong, Liu, Wandong, Li, Hong, and Squire, Jonathan. Woltjer-Taylor State without Taylor’s Conjecture: Plasma Relaxation at all Wavelengths.  United States: N. p., 2012. 
Web.  doi:10.1103/PhysRevLett.109.235001.

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                    Qin, Hong, Liu, Wandong, Li, Hong, & Squire, Jonathan. Woltjer-Taylor State without Taylor’s Conjecture: Plasma Relaxation at all Wavelengths.  United States.  https://doi.org/10.1103/PhysRevLett.109.235001

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                    Qin, Hong, Liu, Wandong, Li, Hong, and Squire, Jonathan. Mon .  
"Woltjer-Taylor State without Taylor’s Conjecture: Plasma Relaxation at all Wavelengths".  United States.  https://doi.org/10.1103/PhysRevLett.109.235001.

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@article{osti_1102451,

  title        = {Woltjer-Taylor State without Taylor’s Conjecture: Plasma Relaxation at all Wavelengths},

  author       = {Qin, Hong and Liu, Wandong and Li, Hong and Squire, Jonathan},

  abstractNote = {},

  doi          = {10.1103/PhysRevLett.109.235001},

  journal      = {Physical Review Letters},

  number       = 23,

  volume       = 109,

  place        = {United States},

  year         = {Mon Dec 03 00:00:00 EST 2012},

  month        = {Mon Dec 03 00:00:00 EST 2012}

}

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Works referenced in this record:

Nonlinear dynamics of tearing modes in the reversed field pinch
journal, January 1988

Holmes, J. A.; Carreras, B. A.; Diamond, P. H.
Physics of Fluids, Vol. 31, Issue 5
DOI: 10.1063/1.866746

Double Curl Beltrami Flow: Diamagnetic Structures
journal, November 1998

Mahajan, S. M.; Yoshida, Z.
Physical Review Letters, Vol. 81, Issue 22
DOI: 10.1103/PhysRevLett.81.4863

The dynamo effect in fusion plasmas
journal, September 1985

Strauss, H. R.
Physics of Fluids, Vol. 28, Issue 9
DOI: 10.1063/1.865238

Increased Confinement and $β$ by Inductive Poloidal Current Drive in the Reversed Field Pinch
journal, January 1997

Sarff, J. S.; Lanier, N. E.; Prager, S. C.
Physical Review Letters, Vol. 78, Issue 1
DOI: 10.1103/PhysRevLett.78.62

Self-organized helical equilibria as a new paradigm for ohmically heated fusion plasmas
journal, June 2009

Lorenzini, R.; Martines, E.; Piovesan, P.
Nature Physics, Vol. 5, Issue 8
DOI: 10.1038/nphys1308

Energy principle with global invariants
journal, January 1982

Bhattacharjee, A.
Physics of Fluids, Vol. 25, Issue 5
DOI: 10.1063/1.863819

Relaxation and magnetic reconnection in plasmas
journal, July 1986

Taylor, J. B.
Reviews of Modern Physics, Vol. 58, Issue 3
DOI: 10.1103/RevModPhys.58.741

On Hydromagnetic Equilibrium
journal, September 1958

Woltjer, L.
Proceedings of the National Academy of Sciences, Vol. 44, Issue 9
DOI: 10.1073/pnas.44.9.833

Three‐dimensional magnetohydrodynamic studies of the reversed‐field pinch
journal, January 1985

Schnack, D. D.; Caramana, E. J.; Nebel, R. A.
Physics of Fluids, Vol. 28, Issue 1
DOI: 10.1063/1.865151

On Force-Free Magnetic Fields
journal, January 1956

Chandrasekhar, S.
Proceedings of the National Academy of Sciences, Vol. 42, Issue 1
DOI: 10.1073/pnas.42.1.1

Dynamics of helicity transport and Taylor relaxation
journal, June 2003

Diamond, P. H.; Malkov, M.
Physics of Plasmas, Vol. 10, Issue 6
DOI: 10.1063/1.1576390

Turbulent relaxation of compressible plasmas with flow
journal, January 1983

Finn, John M.
Physics of Fluids, Vol. 26, Issue 12
DOI: 10.1063/1.864115

Overview of results in the MST reversed field pinch experiment
journal, October 2005

Prager, S. C.; Adney, J.; Almagri, A.
Nuclear Fusion, Vol. 45, Issue 10
DOI: 10.1088/0029-5515/45/10/S23

Measurement of the Hall Dynamo Effect during Magnetic Reconnection in a High-Temperature Plasma
journal, July 2004

Ding, W. X.; Brower, D. L.; Craig, D.
Physical Review Letters, Vol. 93, Issue 4
DOI: 10.1103/PhysRevLett.93.045002

Forced reconnection and current sheet formation in Taylor’s model
journal, March 1992

Wang, Xiaogang; Bhattacharjee, A.
Physics of Fluids B: Plasma Physics, Vol. 4, Issue 7
DOI: 10.1063/1.860035

Non-linear coupling effects on the relaxation process in the reversed field pinch
journal, May 1987

Kusano, K.; Sato, T.
Nuclear Fusion, Vol. 27, Issue 5
DOI: 10.1088/0029-5515/27/5/011

Energy Principle with Global Invariants for Toroidal Plasmas
journal, August 1980

Bhattacharjee, A.; Dewar, R. L.; Monticello, D. A.
Physical Review Letters, Vol. 45, Issue 5
DOI: 10.1103/PhysRevLett.45.347

Reversed-field-pinch research
journal, October 1980

Bodin, H. A. B.; Newton, A. A.
Nuclear Fusion, Vol. 20, Issue 10
DOI: 10.1088/0029-5515/20/10/006

Relaxation of a Two-Specie Magnetofluid
journal, November 1997

Steinhauer, L. C.; Ishida, A.
Physical Review Letters, Vol. 79, Issue 18
DOI: 10.1103/PhysRevLett.79.3423

Variational Principles and Self-Organization in Two-Fluid Plasmas
journal, February 2002

Yoshida, Z.; Mahajan, S. M.
Physical Review Letters, Vol. 88, Issue 9
DOI: 10.1103/PhysRevLett.88.095001

Tokamak-like confinement at a high beta and low toroidal field in the MST reversed field pinch
journal, December 2003

Sarff, J. S.; Almagri, A. F.; Anderson, J. K.
Nuclear Fusion, Vol. 43, Issue 12
DOI: 10.1088/0029-5515/43/12/014

Nonlinear dynamics of field maintenance and quasiperiodic relaxation in reversed‐field pinches
journal, March 1991

Ho, Y. L.; Craddock, G. G.
Physics of Fluids B: Plasma Physics, Vol. 3, Issue 3
DOI: 10.1063/1.859868

A Theorem on Force-Free Magnetic Fields
journal, June 1958

Woltjer, L.
Proceedings of the National Academy of Sciences, Vol. 44, Issue 6
DOI: 10.1073/pnas.44.6.489

Nonlinear, single-helicity magnetic reconnection in the reversed-field pinch
journal, January 1983

Caramana, E. J.
Physics of Fluids, Vol. 26, Issue 5
DOI: 10.1063/1.864253

Relaxation of Toroidal Plasma and Generation of Reverse Magnetic Fields
journal, November 1974

Taylor, J. B.
Physical Review Letters, Vol. 33, Issue 19
DOI: 10.1103/PhysRevLett.33.1139

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Title: Woltjer-Taylor State without Taylor’s Conjecture: Plasma Relaxation at all Wavelengths

Citation Formats

Nonlinear dynamics of tearing modes in the reversed field pinch journal, January 1988

Double Curl Beltrami Flow: Diamagnetic Structures journal, November 1998

The dynamo effect in fusion plasmas journal, September 1985

Increased Confinement and β by Inductive Poloidal Current Drive in the Reversed Field Pinch journal, January 1997

Self-organized helical equilibria as a new paradigm for ohmically heated fusion plasmas journal, June 2009

Energy principle with global invariants journal, January 1982

Relaxation and magnetic reconnection in plasmas journal, July 1986

On Hydromagnetic Equilibrium journal, September 1958

Three‐dimensional magnetohydrodynamic studies of the reversed‐field pinch journal, January 1985

On Force-Free Magnetic Fields journal, January 1956

Dynamics of helicity transport and Taylor relaxation journal, June 2003

Turbulent relaxation of compressible plasmas with flow journal, January 1983

Overview of results in the MST reversed field pinch experiment journal, October 2005

Measurement of the Hall Dynamo Effect during Magnetic Reconnection in a High-Temperature Plasma journal, July 2004

Forced reconnection and current sheet formation in Taylor’s model journal, March 1992

Non-linear coupling effects on the relaxation process in the reversed field pinch journal, May 1987

Energy Principle with Global Invariants for Toroidal Plasmas journal, August 1980

Reversed-field-pinch research journal, October 1980

Relaxation of a Two-Specie Magnetofluid journal, November 1997

Variational Principles and Self-Organization in Two-Fluid Plasmas journal, February 2002

Tokamak-like confinement at a high beta and low toroidal field in the MST reversed field pinch journal, December 2003

Nonlinear dynamics of field maintenance and quasiperiodic relaxation in reversed‐field pinches journal, March 1991

A Theorem on Force-Free Magnetic Fields journal, June 1958

Nonlinear, single-helicity magnetic reconnection in the reversed-field pinch journal, January 1983

Relaxation of Toroidal Plasma and Generation of Reverse Magnetic Fields journal, November 1974

Nonlinear dynamics of tearing modes in the reversed field pinch
journal, January 1988

Double Curl Beltrami Flow: Diamagnetic Structures
journal, November 1998

The dynamo effect in fusion plasmas
journal, September 1985

Increased Confinement and $β$ by Inductive Poloidal Current Drive in the Reversed Field Pinch
journal, January 1997

Self-organized helical equilibria as a new paradigm for ohmically heated fusion plasmas
journal, June 2009

Energy principle with global invariants
journal, January 1982

Relaxation and magnetic reconnection in plasmas
journal, July 1986

On Hydromagnetic Equilibrium
journal, September 1958

Three‐dimensional magnetohydrodynamic studies of the reversed‐field pinch
journal, January 1985

On Force-Free Magnetic Fields
journal, January 1956

Dynamics of helicity transport and Taylor relaxation
journal, June 2003

Turbulent relaxation of compressible plasmas with flow
journal, January 1983

Overview of results in the MST reversed field pinch experiment
journal, October 2005

Measurement of the Hall Dynamo Effect during Magnetic Reconnection in a High-Temperature Plasma
journal, July 2004

Forced reconnection and current sheet formation in Taylor’s model
journal, March 1992

Non-linear coupling effects on the relaxation process in the reversed field pinch
journal, May 1987

Energy Principle with Global Invariants for Toroidal Plasmas
journal, August 1980

Reversed-field-pinch research
journal, October 1980

Relaxation of a Two-Specie Magnetofluid
journal, November 1997

Variational Principles and Self-Organization in Two-Fluid Plasmas
journal, February 2002

Tokamak-like confinement at a high beta and low toroidal field in the MST reversed field pinch
journal, December 2003

Nonlinear dynamics of field maintenance and quasiperiodic relaxation in reversed‐field pinches
journal, March 1991

A Theorem on Force-Free Magnetic Fields
journal, June 1958

Nonlinear, single-helicity magnetic reconnection in the reversed-field pinch
journal, January 1983

Relaxation of Toroidal Plasma and Generation of Reverse Magnetic Fields
journal, November 1974