Exact non-symmetric closed line vacuum magnetic fields in a topological torus

doi:10.1063/1.5126688

This content will become publicly available on February 13, 2021

Title: Exact non-symmetric closed line vacuum magnetic fields in a topological torus

Authors:

^[1];

^[1]

Courant Institute of Mathematical Sciences, New York University, New York, New York 10012, USA

Publication Date:: 2020-02-01

Sponsoring Org.:: USDOE

OSTI Identifier:: 1599472

Grant/Contract Number:: DEFG02-86ER53223

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physics of Plasmas

Additional Journal Information:: Journal Name: Physics of Plasmas Journal Volume: 27 Journal Issue: 2; Journal ID: ISSN 1070-664X

Publisher:: American Institute of Physics

Country of Publication:: United States

Language:: English

Citation Formats


                    Weitzner, Harold, and Sengupta, Wrick. Exact non-symmetric closed line vacuum magnetic fields in a topological torus.  United States: N. p., 2020. 
        Web.  doi:10.1063/1.5126688.

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                    Weitzner, Harold, & Sengupta, Wrick. Exact non-symmetric closed line vacuum magnetic fields in a topological torus.  United States.  doi:10.1063/1.5126688.

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                    Weitzner, Harold, and Sengupta, Wrick. Sat .  
        "Exact non-symmetric closed line vacuum magnetic fields in a topological torus".  United States.  doi:10.1063/1.5126688.

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@article{osti_1599472,

  title        = {Exact non-symmetric closed line vacuum magnetic fields in a topological torus},

  author       = {Weitzner, Harold and Sengupta, Wrick},

  abstractNote = {},

  doi          = {10.1063/1.5126688},

  journal      = {Physics of Plasmas},

  number       = 2,

  volume       = 27,

  place        = {United States},

  year         = {2020},

  month        = {2}

}

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Works referenced in this record:

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journal, January 1984

Cary, John R.
Physics of Fluids, Vol. 27, Issue 1
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Low-shear three-dimensional equilibria and vacuum magnetic fields with flux surfaces
journal, April 2019

Sengupta, Wrick; Weitzner, Harold
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Electron energy transport in the presence of rational surfaces in the Wendelstein 7-AS stellarator
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Brakel, R.; Team, the W7-AS
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Three-dimensional magnetohydrodynamic equilibria with continuous magnetic fields
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Hudson, S. R.; Kraus, B. F.
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Hirsch, M.; Baldzuhn, J.; Beidler, C.
Plasma Physics and Controlled Fusion, Vol. 50, Issue 5
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journal, July 1982

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Expansions of non-symmetric toroidal magnetohydrodynamic equilibria
journal, June 2016

Weitzner, Harold
Physics of Plasmas, Vol. 23, Issue 6
DOI: 10.1063/1.4954048

Limiting beta of stellarators with no net current
journal, January 1981

Strauss, H. R.
Physics of Fluids, Vol. 24, Issue 6
DOI: 10.1063/1.863504

Constructing stellarators with quasisymmetry to high order
journal, November 2019

Landreman, Matt; Sengupta, Wrick
Journal of Plasma Physics, Vol. 85, Issue 6
DOI: 10.1017/S0022377819000783

Overview of first Wendelstein 7-X high-performance operation
journal, June 2019

Klinger, T.; Andreeva, T.; Bozhenkov, S.
Nuclear Fusion, Vol. 59, Issue 11
DOI: 10.1088/1741-4326/ab03a7

Tuning of the rotational transform in Wendelstein 7-X
journal, September 2019

Lazerson, Samuel A.; Gao, Yu; Hammond, Kenneth
Nuclear Fusion, Vol. 59, Issue 12
DOI: 10.1088/1741-4326/ab3df0

Vacuum Magnetic Fields with Dense Flux Surfaces
journal, July 1982

Cary, John R.
Physical Review Letters, Vol. 49, Issue 4
DOI: 10.1103/PhysRevLett.49.276

Radial confinement of deeply trapped particles in a non-symmetric magnetohydrodynamic equilibrium
journal, February 2018

Sengupta, Wrick; Weitzner, Harold
Physics of Plasmas, Vol. 25, Issue 2
DOI: 10.1063/1.5011760

Toroidal Containment of a Plasma
journal, January 1967

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Physics of Fluids, Vol. 10, Issue 1
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Direct construction of optimized stellarator shapes. Part 1. Theory in cylindrical coordinates
journal, December 2018

Landreman, Matt; Sengupta, Wrick
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Stellarator microinstabilities and turbulence at low magnetic shear
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Ideal magnetohydrodynamic equilibrium in a non-symmetric topological torus
journal, February 2014

Weitzner, Harold
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Similar Records

This content will become publicly available on February 13, 2021

Title: Exact non-symmetric closed line vacuum magnetic fields in a topological torus

Citation Formats

Construction of three-dimensional vacuum magnetic fields with dense nested flux surfaces journal, January 1984

Low-shear three-dimensional equilibria and vacuum magnetic fields with flux surfaces journal, April 2019

Magnetic Differential Equations journal, January 1959

Electron energy transport in the presence of rational surfaces in the Wendelstein 7-AS stellarator journal, July 2002

Three-dimensional magnetohydrodynamic equilibria with continuous magnetic fields journal, July 2017

Major results from the stellarator Wendelstein 7-AS journal, March 2008

Ideal magnetohydrodynamic theory of magnetic fusion systems journal, July 1982

Expansions of non-symmetric toroidal magnetohydrodynamic equilibria journal, June 2016

Limiting beta of stellarators with no net current journal, January 1981

Constructing stellarators with quasisymmetry to high order journal, November 2019

Overview of first Wendelstein 7-X high-performance operation journal, June 2019

Tuning of the rotational transform in Wendelstein 7-X journal, September 2019

Vacuum Magnetic Fields with Dense Flux Surfaces journal, July 1982

Radial confinement of deeply trapped particles in a non-symmetric magnetohydrodynamic equilibrium journal, February 2018

Toroidal Containment of a Plasma journal, January 1967

Direct construction of optimized stellarator shapes. Part 1. Theory in cylindrical coordinates journal, December 2018

Stellarator microinstabilities and turbulence at low magnetic shear journal, October 2018

Magnetofluid-Dynamic Spectrum and Low Shear Stability journal, December 1973

Confinement in W7-AS and the role of radial electric field and magnetic shear journal, December 1997

Ideal magnetohydrodynamic equilibrium in a non-symmetric topological torus journal, February 2014

Equilibrium and stability of a toroidal magnetohydrodynamic system in the neighbourhood of a magnetic axis journal, September 1964

Study of the interplay between magnetic shear and resonances using Hamiltonian models for the magnetic field lines journal, March 2011

Über die Existenz toroidaler magnetohydrostatischer Gleichgewichte ohne Rotationstransformation journal, March 1970

Magnetic Surfaces and Localized Perturbations in the Wendelstein VII-A Stellarator journal, October 1987

Construction of three-dimensional vacuum magnetic fields with dense nested flux surfaces
journal, January 1984

Low-shear three-dimensional equilibria and vacuum magnetic fields with flux surfaces
journal, April 2019

Magnetic Differential Equations
journal, January 1959

Electron energy transport in the presence of rational surfaces in the Wendelstein 7-AS stellarator
journal, July 2002

Three-dimensional magnetohydrodynamic equilibria with continuous magnetic fields
journal, July 2017

Major results from the stellarator Wendelstein 7-AS
journal, March 2008

Ideal magnetohydrodynamic theory of magnetic fusion systems
journal, July 1982

Expansions of non-symmetric toroidal magnetohydrodynamic equilibria
journal, June 2016

Limiting beta of stellarators with no net current
journal, January 1981

Constructing stellarators with quasisymmetry to high order
journal, November 2019

Overview of first Wendelstein 7-X high-performance operation
journal, June 2019

Tuning of the rotational transform in Wendelstein 7-X
journal, September 2019

Vacuum Magnetic Fields with Dense Flux Surfaces
journal, July 1982

Radial confinement of deeply trapped particles in a non-symmetric magnetohydrodynamic equilibrium
journal, February 2018

Toroidal Containment of a Plasma
journal, January 1967

Direct construction of optimized stellarator shapes. Part 1. Theory in cylindrical coordinates
journal, December 2018

Stellarator microinstabilities and turbulence at low magnetic shear
journal, October 2018

Magnetofluid-Dynamic Spectrum and Low Shear Stability
journal, December 1973

Confinement in W7-AS and the role of radial electric field and magnetic shear
journal, December 1997

Ideal magnetohydrodynamic equilibrium in a non-symmetric topological torus
journal, February 2014

Equilibrium and stability of a toroidal magnetohydrodynamic system in the neighbourhood of a magnetic axis
journal, September 1964

Study of the interplay between magnetic shear and resonances using Hamiltonian models for the magnetic field lines
journal, March 2011

Über die Existenz toroidaler magnetohydrostatischer Gleichgewichte ohne Rotationstransformation
journal, March 1970

Magnetic Surfaces and Localized Perturbations in the Wendelstein VII-A Stellarator
journal, October 1987