Derivation of the Hall and extended magnetohydrodynamics brackets

D'Avignon, Eric C.; Morrison, Philip J.; Lingam, Manasvi

doi:10.1063/1.4952641

Title: Derivation of the Hall and extended magnetohydrodynamics brackets

Authors:

^[1];

^[1]; Lingam, Manasvi ^[2]

Department of Physics and Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712, USA
Department of Astrophysical Sciences, Princeton University, Princeton, New Jersey 08544, USA

Publication Date:: 2016-06-03

Sponsoring Org.:: USDOE

OSTI Identifier:: 1255629

Grant/Contract Number:: AC02-09CH-11466; FG02-04ER-54742

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physics of Plasmas

Additional Journal Information:: Journal Name: Physics of Plasmas Journal Volume: 23 Journal Issue: 6; Journal ID: ISSN 1070-664X

Publisher:: American Institute of Physics

Country of Publication:: United States

Language:: English

Citation Formats


                    D'Avignon, Eric C., Morrison, Philip J., and Lingam, Manasvi. Derivation of the Hall and extended magnetohydrodynamics brackets.  United States: N. p., 2016. 
Web.  doi:10.1063/1.4952641.

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                    D'Avignon, Eric C., Morrison, Philip J., & Lingam, Manasvi. Derivation of the Hall and extended magnetohydrodynamics brackets.  United States.  https://doi.org/10.1063/1.4952641

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                    D'Avignon, Eric C., Morrison, Philip J., and Lingam, Manasvi. Fri .  
"Derivation of the Hall and extended magnetohydrodynamics brackets".  United States.  https://doi.org/10.1063/1.4952641.

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@article{osti_1255629,

  title        = {Derivation of the Hall and extended magnetohydrodynamics brackets},

  author       = {D'Avignon, Eric C. and Morrison, Philip J. and Lingam, Manasvi},

  abstractNote = {},

  doi          = {10.1063/1.4952641},

  journal      = {Physics of Plasmas},

  number       = 6,

  volume       = 23,

  place        = {United States},

  year         = {2016},

  month        = {6}

}

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Works referenced in this record:

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Title: Derivation of the Hall and extended magnetohydrodynamics brackets

Citation Formats

Helicity-based particle-relabeling operator and normal mode expansion of the dissipationless incompressible Hall magnetohydrodynamics journal, December 2015

Lagrangian methods in plasma dynamics. Part 2. Construction of Lagrangians for plasmas journal, April 1974

Lagrangian approach to non-linear wave interactions in a warm plasma journal, August 1971

Hamiltonian closures for fluid models with four moments by dimensional analysis journal, June 2015

Über die Ausbreitung von Wellen in einem Plasma journal, January 1959

Variational Principle in Magnetohydrodynamics journal, January 1969

Inertial magnetohydrodynamics journal, March 2015

Interaction between Hydromagnetic Waves and a Time-Dependent, Inhomogeneous Medium journal, January 1970

Nonlinear Alfvén waves in extended magnetohydrodynamics journal, February 2016

Canonical Hamiltonian mechanics of Hall magnetohydrodynamics and its limit to ideal magnetohydrodynamics journal, July 2013

Fluid element relabeling symmetry journal, August 1996

On Hamiltonian and Action Principle Formulations of Plasma Dynamics conference, January 2009

Higher-order Hamiltonian fluid reduction of Vlasov equation journal, September 2014

Multi-fluid systems—Multi-Beltrami relaxed states and their implications journal, September 2015

Variational formulation for weakly nonlinear perturbations of ideal magnetohydrodynamics journal, January 2011

Variational integration for ideal magnetohydrodynamics with built-in advection equations journal, October 2014

Hamiltonian and action principle formulations of plasma physics journal, May 2005

Variational Principles in Plasma Dynamics journal, January 1961

Concomitant Hamiltonian and topological structures of extended magnetohydrodynamics journal, July 2016

Hamiltonian structure of two-fluid plasma dynamics journal, April 1982

Hamilton's Principle for Electromagnetic Fluids journal, January 1966

Noncanonical Hamiltonian Density Formulation of Hydrodynamics and Ideal Magnetohydrodynamics journal, September 1980

Remarkable connections between extended magnetohydrodynamics models journal, July 2015

Action principle for relativistic magnetohydrodynamics journal, April 2015

Poisson brackets for fluids and plasmas conference, January 1982

Double Curl Beltrami Flow: Diamagnetic Structures journal, November 1998

Gyro-induced acceleration of magnetic reconnection journal, September 2013

Hamiltonian approach to hybrid plasma models journal, July 2010

A variational principle and an energy theorem for small-amplitude disturbances of electron beams and of electron-ion plasmas journal, July 1958

An Action Principle for Magnetohydrodynamics journal, December 1963

Hybrid Vlasov-MHD models: Hamiltonian vs. non-Hamiltonian journal, July 2014

Hamiltonian formalism of extended magnetohydrodynamics journal, May 2015

A Lagrangian theory for nonlinear wave packets in a collisionless plasma journal, April 1972

The action principle for generalized fluid motion including gyroviscosity journal, November 2014

Hamiltonian magnetohydrodynamics: Lagrangian, Eulerian, and dynamically accessible stability—Theory journal, September 2013

Hamiltonian and action formalisms for two-dimensional gyroviscous magnetohydrodynamics journal, August 2014

Explosive magnetic reconnection caused by an X-shaped current-vortex layer in a collisionless plasma journal, May 2015

Poisson brackets and clebsch representations for magnetohydrodynamics, multifluid plasmas, and elasticity journal, April 1983

A Hamiltonian five-field gyrofluid model journal, November 2015

Helical bifurcation and tearing mode in a plasma—a description based on Casimir foliation journal, August 2012

Computation of multi-region relaxed magnetohydrodynamic equilibria journal, November 2012

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

Weakly nonlinear dynamics in noncanonical Hamiltonian systems with applications to fluids and plasmas journal, May 2016

Nonlinear variational method for predicting fast collisionless magnetic reconnection journal, May 2013

Hamilton's Variational Principle for a Perfectly Conducting Plasma Continuum journal, January 1963

Action principles for extended magnetohydrodynamic models journal, September 2014

Nonlinear stability of fluid and plasma equilibria journal, July 1985

Nonlinear Alfvén/Beltrami waves—An integrable structure built around the Casimir journal, May 2012

Hamiltonian discontinuous Galerkin FEM for linear, rotating incompressible Euler equations: Inertial waves journal, May 2013

On energy conservation in extended magnetohydrodynamics journal, August 2014

Helicity-based particle-relabeling operator and normal mode expansion of the dissipationless incompressible Hall magnetohydrodynamics
journal, December 2015

Lagrangian methods in plasma dynamics. Part 2. Construction of Lagrangians for plasmas
journal, April 1974

Lagrangian approach to non-linear wave interactions in a warm plasma
journal, August 1971

Hamiltonian closures for fluid models with four moments by dimensional analysis
journal, June 2015

Über die Ausbreitung von Wellen in einem Plasma
journal, January 1959

Variational Principle in Magnetohydrodynamics
journal, January 1969

Inertial magnetohydrodynamics
journal, March 2015

Interaction between Hydromagnetic Waves and a Time-Dependent, Inhomogeneous Medium
journal, January 1970

Nonlinear Alfvén waves in extended magnetohydrodynamics
journal, February 2016

Canonical Hamiltonian mechanics of Hall magnetohydrodynamics and its limit to ideal magnetohydrodynamics
journal, July 2013

Fluid element relabeling symmetry
journal, August 1996

On Hamiltonian and Action Principle Formulations of Plasma Dynamics
conference, January 2009

Higher-order Hamiltonian fluid reduction of Vlasov equation
journal, September 2014

Multi-fluid systems—Multi-Beltrami relaxed states and their implications
journal, September 2015

Variational formulation for weakly nonlinear perturbations of ideal magnetohydrodynamics
journal, January 2011

Variational integration for ideal magnetohydrodynamics with built-in advection equations
journal, October 2014

Hamiltonian and action principle formulations of plasma physics
journal, May 2005

Variational Principles in Plasma Dynamics
journal, January 1961

Concomitant Hamiltonian and topological structures of extended magnetohydrodynamics
journal, July 2016

Hamiltonian structure of two-fluid plasma dynamics
journal, April 1982

Hamilton's Principle for Electromagnetic Fluids
journal, January 1966

Noncanonical Hamiltonian Density Formulation of Hydrodynamics and Ideal Magnetohydrodynamics
journal, September 1980

Remarkable connections between extended magnetohydrodynamics models
journal, July 2015

Action principle for relativistic magnetohydrodynamics
journal, April 2015

Poisson brackets for fluids and plasmas
conference, January 1982

Double Curl Beltrami Flow: Diamagnetic Structures
journal, November 1998

Gyro-induced acceleration of magnetic reconnection
journal, September 2013

Hamiltonian approach to hybrid plasma models
journal, July 2010

A variational principle and an energy theorem for small-amplitude disturbances of electron beams and of electron-ion plasmas
journal, July 1958

An Action Principle for Magnetohydrodynamics
journal, December 1963

Hybrid Vlasov-MHD models: Hamiltonian vs. non-Hamiltonian
journal, July 2014

Hamiltonian formalism of extended magnetohydrodynamics
journal, May 2015

A Lagrangian theory for nonlinear wave packets in a collisionless plasma
journal, April 1972

The action principle for generalized fluid motion including gyroviscosity
journal, November 2014

Hamiltonian magnetohydrodynamics: Lagrangian, Eulerian, and dynamically accessible stability—Theory
journal, September 2013

Hamiltonian and action formalisms for two-dimensional gyroviscous magnetohydrodynamics
journal, August 2014

Explosive magnetic reconnection caused by an X-shaped current-vortex layer in a collisionless plasma
journal, May 2015

Poisson brackets and clebsch representations for magnetohydrodynamics, multifluid plasmas, and elasticity
journal, April 1983

A Hamiltonian five-field gyrofluid model
journal, November 2015

Helical bifurcation and tearing mode in a plasma—a description based on Casimir foliation
journal, August 2012

Computation of multi-region relaxed magnetohydrodynamic equilibria
journal, November 2012

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

Weakly nonlinear dynamics in noncanonical Hamiltonian systems with applications to fluids and plasmas
journal, May 2016

Nonlinear variational method for predicting fast collisionless magnetic reconnection
journal, May 2013

Hamilton's Variational Principle for a Perfectly Conducting Plasma Continuum
journal, January 1963

Action principles for extended magnetohydrodynamic models
journal, September 2014

Nonlinear stability of fluid and plasma equilibria
journal, July 1985

Nonlinear Alfvén/Beltrami waves—An integrable structure built around the Casimir
journal, May 2012

Hamiltonian discontinuous Galerkin FEM for linear, rotating incompressible Euler equations: Inertial waves
journal, May 2013

On energy conservation in extended magnetohydrodynamics
journal, August 2014