skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Derivation of the Hall and extended magnetohydrodynamics brackets

Authors:
ORCiD logo [1]; ORCiD logo [1];  [2]
  1. Department of Physics and Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712, USA
  2. Department of Astrophysical Sciences, Princeton University, Princeton, New Jersey 08544, USA
Publication Date:
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.
D'Avignon, Eric C., Morrison, Philip J., & Lingam, Manasvi. Derivation of the Hall and extended magnetohydrodynamics brackets. United States. doi:10.1063/1.4952641.
D'Avignon, Eric C., Morrison, Philip J., and Lingam, Manasvi. Fri . "Derivation of the Hall and extended magnetohydrodynamics brackets". United States. doi:10.1063/1.4952641.
@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}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1063/1.4952641

Citation Metrics:
Cited by: 11 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

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

  • Abdelhamid, Hamdi M.; Yoshida, Zensho
  • Physics of Plasmas, Vol. 23, Issue 2
  • DOI: 10.1063/1.4941596

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

  • Morrison, P. J.; Eliasson, Bengt; Shukla, Padma K.
  • NEW DEVELOPMENTS IN NONLINEAR PLASMA PHYSICS: Proceedings of the 2009 ICTP Summer College on Plasma Physics and International Symposium on Cutting Edge Plasma Physics, AIP Conference Proceedings
  • DOI: 10.1063/1.3266810

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


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

  • Mahajan, Swadesh M.; Lingam, Manasvi
  • Physics of Plasmas, Vol. 22, Issue 9
  • DOI: 10.1063/1.4931069

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

  • Zhou, Yao; Qin, Hong; Burby, J. W.
  • Physics of Plasmas, Vol. 21, Issue 10
  • DOI: 10.1063/1.4897372

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

  • Lingam, M.; Morrison, P. J.; Miloshevich, G.
  • Physics of Plasmas, Vol. 22, Issue 7
  • DOI: 10.1063/1.4926821

Action principle for relativistic magnetohydrodynamics
journal, April 2015


Poisson brackets for fluids and plasmas
conference, January 1982

  • Morrison, Philip J.
  • AIP Conference Proceedings Volume 88
  • DOI: 10.1063/1.33633

Double Curl Beltrami Flow: Diamagnetic Structures
journal, November 1998


Gyro-induced acceleration of magnetic reconnection
journal, September 2013

  • Comisso, L.; Grasso, D.; Waelbroeck, F. L.
  • Physics of Plasmas, Vol. 20, Issue 9
  • DOI: 10.1063/1.4821840

Hamiltonian approach to hybrid plasma models
journal, July 2010


An Action Principle for Magnetohydrodynamics
journal, December 1963

  • Calkin, M. G.
  • Canadian Journal of Physics, Vol. 41, Issue 12
  • DOI: 10.1139/p63-216

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


Hamiltonian formalism of extended magnetohydrodynamics
journal, May 2015

  • Abdelhamid, H. M.; Kawazura, Y.; Yoshida, Z.
  • Journal of Physics A: Mathematical and Theoretical, Vol. 48, Issue 23
  • DOI: 10.1088/1751-8113/48/23/235502

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

  • Andreussi, T.; Morrison, P. J.; Pegoraro, F.
  • Physics of Plasmas, Vol. 20, Issue 9
  • DOI: 10.1063/1.4819779

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

  • Morrison, P. J.; Lingam, M.; Acevedo, R.
  • Physics of Plasmas, Vol. 21, Issue 8
  • DOI: 10.1063/1.4891321

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

  • Hirota, M.; Hattori, Y.; Morrison, P. J.
  • Physics of Plasmas, Vol. 22, Issue 5
  • DOI: 10.1063/1.4921329

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


A Hamiltonian five-field gyrofluid model
journal, November 2015

  • Keramidas Charidakos, I.; Waelbroeck, F. L.; Morrison, P. J.
  • Physics of Plasmas, Vol. 22, Issue 11
  • DOI: 10.1063/1.4936102

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

  • Hudson, S. R.; Dewar, R. L.; Dennis, G.
  • Physics of Plasmas, Vol. 19, Issue 11
  • DOI: 10.1063/1.4765691

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

  • Keramidas Charidakos, I.; Lingam, M.; Morrison, P. J.
  • Physics of Plasmas, Vol. 21, Issue 9
  • DOI: 10.1063/1.4896336

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

  • Nurijanyan, S.; van der Vegt, J. J. W.; Bokhove, O.
  • Journal of Computational Physics, Vol. 241
  • DOI: 10.1016/j.jcp.2013.01.017

On energy conservation in extended magnetohydrodynamics
journal, August 2014

  • Kimura, Keiji; Morrison, P. J.
  • Physics of Plasmas, Vol. 21, Issue 8
  • DOI: 10.1063/1.4890955