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

Journal Article · 02 June 2016 · Physics of Plasmas

DOI: https://doi.org/10.1063/1.4952641 · OSTI ID:1255629

^[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

Not Available

View Accepted Manuscript (Publisher)

Cite

Export

Save

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-09CH11466; FG02-04ER54742

OSTI ID:: 1255629

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 6 Vol. 23; ISSN PHPAEN; ISSN 1070-664X

Publisher:: American Institute of PhysicsCopyright Statement

Country of Publication:: United States

Language:: English

References (50)

Über die Ausbreitung von Wellen in einem Plasma Lüst, Reimar Fortschritte der Physik, Vol. 7, Issue 9 https://doi.org/10.1002/prop.19590070902	journal	January 1959
A variational principle and an energy theorem for small-amplitude disturbances of electron beams and of electron-ion plasmas Sturrock, P. A. Annals of Physics, Vol. 4, Issue 3 https://doi.org/10.1016/0003-4916(58)90051-4	journal	July 1958
Poisson brackets and clebsch representations for magnetohydrodynamics, multifluid plasmas, and elasticity Holm, Darryl D.; Kupershmidt, Boris A. Physica D: Nonlinear Phenomena, Vol. 6, Issue 3 https://doi.org/10.1016/0167-2789(83)90017-9	journal	April 1983
Nonlinear stability of fluid and plasma equilibria Holm, Darryl D.; Marsden, Jerrold E.; Ratiu, Tudor Physics Reports, Vol. 123, Issue 1-2 https://doi.org/10.1016/0370-1573(85)90028-6	journal	July 1985
Fluid element relabeling symmetry Padhye, Nikhil; Morrison, P. J. Physics Letters A, Vol. 219, Issue 5-6 https://doi.org/10.1016/0375-9601(96)00472-0	journal	August 1996
Higher-order Hamiltonian fluid reduction of Vlasov equation Perin, M.; Chandre, C.; Morrison, P. J. Annals of Physics, Vol. 348 https://doi.org/10.1016/j.aop.2014.05.011	journal	September 2014
Weakly nonlinear dynamics in noncanonical Hamiltonian systems with applications to fluids and plasmas Morrison, P. J.; Vanneste, J. Annals of Physics, Vol. 368 https://doi.org/10.1016/j.aop.2016.02.003	journal	May 2016
Nonlinear Alfvén/Beltrami waves—An integrable structure built around the Casimir Yoshida, Z. Communications in Nonlinear Science and Numerical Simulation, Vol. 17, Issue 5 https://doi.org/10.1016/j.cnsns.2011.04.010	journal	May 2012
Hamiltonian discontinuous Galerkin FEM for linear, rotating incompressible Euler equations: Inertial waves Nurijanyan, S.; van der Vegt, J. J. W.; Bokhove, O. Journal of Computational Physics, Vol. 241 https://doi.org/10.1016/j.jcp.2013.01.017	journal	May 2013
The action principle for generalized fluid motion including gyroviscosity Lingam, M.; Morrison, P. J. Physics Letters A, Vol. 378, Issue 47 https://doi.org/10.1016/j.physleta.2014.10.013	journal	November 2014
Inertial magnetohydrodynamics Lingam, M.; Morrison, P. J.; Tassi, E. Physics Letters A, Vol. 379, Issue 6 https://doi.org/10.1016/j.physleta.2014.12.008	journal	March 2015
Concomitant Hamiltonian and topological structures of extended magnetohydrodynamics Lingam, Manasvi; Miloshevich, George; Morrison, Philip J. Physics Letters A, Vol. 380, Issue 31-32 https://doi.org/10.1016/j.physleta.2016.05.024	journal	July 2016
A Lagrangian theory for nonlinear wave packets in a collisionless plasma Dewar, R. L. Journal of Plasma Physics, Vol. 7, Issue 2 https://doi.org/10.1017/S0022377800006590	journal	April 1972
Lagrangian methods in plasma dynamics. Part 2. Construction of Lagrangians for plasmas Dougherty, J. P. Journal of Plasma Physics, Vol. 11, Issue 2 https://doi.org/10.1017/S0022377800024685	journal	April 1974
Lagrangian approach to non-linear wave interactions in a warm plasma Galloway, J. J.; Kim, H. Journal of Plasma Physics, Vol. 6, Issue 1 https://doi.org/10.1017/S002237780002568X	journal	August 1971
Variational formulation for weakly nonlinear perturbations of ideal magnetohydrodynamics Hirota, M. Journal of Plasma Physics, Vol. 77, Issue 5 https://doi.org/10.1017/S0022377810000760	journal	January 2011
Variational Principle in Magnetohydrodynamics Merches, Ioan Physics of Fluids, Vol. 12, Issue 10 https://doi.org/10.1063/1.1692333	journal	January 1969
Interaction between Hydromagnetic Waves and a Time-Dependent, Inhomogeneous Medium Dewar, R. L. Physics of Fluids, Vol. 13, Issue 11 https://doi.org/10.1063/1.1692854	journal	January 1970
Variational Principles in Plasma Dynamics Su, Chau-Hsing Physics of Fluids, Vol. 4, Issue 11 https://doi.org/10.1063/1.1706227	journal	January 1961
Hamilton's Variational Principle for a Perfectly Conducting Plasma Continuum Lundgren, T. S. Physics of Fluids, Vol. 6, Issue 7 https://doi.org/10.1063/1.1706844	journal	January 1963
Hamilton's Principle for Electromagnetic Fluids Penfield, Paul Physics of Fluids, Vol. 9, Issue 6 https://doi.org/10.1063/1.1761820	journal	January 1966
Hamiltonian and action principle formulations of plasma physics Morrison, P. J. Physics of Plasmas, Vol. 12, Issue 5 https://doi.org/10.1063/1.1882353	journal	May 2005
On Hamiltonian and Action Principle Formulations of Plasma Dynamics 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 https://doi.org/10.1063/1.3266810	conference	January 2009
Poisson brackets for fluids and plasmas Morrison, Philip J. AIP Conference Proceedings Volume 88 https://doi.org/10.1063/1.33633	conference	January 1982
Computation of multi-region relaxed magnetohydrodynamic equilibria Hudson, S. R.; Dewar, R. L.; Dennis, G. Physics of Plasmas, Vol. 19, Issue 11 https://doi.org/10.1063/1.4765691	journal	November 2012
Hamiltonian magnetohydrodynamics: Lagrangian, Eulerian, and dynamically accessible stability—Theory Andreussi, T.; Morrison, P. J.; Pegoraro, F. Physics of Plasmas, Vol. 20, Issue 9 https://doi.org/10.1063/1.4819779	journal	September 2013
Gyro-induced acceleration of magnetic reconnection Comisso, L.; Grasso, D.; Waelbroeck, F. L. Physics of Plasmas, Vol. 20, Issue 9 https://doi.org/10.1063/1.4821840	journal	September 2013
On energy conservation in extended magnetohydrodynamics Kimura, Keiji; Morrison, P. J. Physics of Plasmas, Vol. 21, Issue 8 https://doi.org/10.1063/1.4890955	journal	August 2014
Hamiltonian and action formalisms for two-dimensional gyroviscous magnetohydrodynamics Morrison, P. J.; Lingam, M.; Acevedo, R. Physics of Plasmas, Vol. 21, Issue 8 https://doi.org/10.1063/1.4891321	journal	August 2014
Action principles for extended magnetohydrodynamic models Keramidas Charidakos, I.; Lingam, M.; Morrison, P. J. Physics of Plasmas, Vol. 21, Issue 9 https://doi.org/10.1063/1.4896336	journal	September 2014
Variational integration for ideal magnetohydrodynamics with built-in advection equations Zhou, Yao; Qin, Hong; Burby, J. W. Physics of Plasmas, Vol. 21, Issue 10 https://doi.org/10.1063/1.4897372	journal	October 2014
Explosive magnetic reconnection caused by an X-shaped current-vortex layer in a collisionless plasma Hirota, M.; Hattori, Y.; Morrison, P. J. Physics of Plasmas, Vol. 22, Issue 5 https://doi.org/10.1063/1.4921329	journal	May 2015
Remarkable connections between extended magnetohydrodynamics models Lingam, M.; Morrison, P. J.; Miloshevich, G. Physics of Plasmas, Vol. 22, Issue 7 https://doi.org/10.1063/1.4926821	journal	July 2015
Multi-fluid systems—Multi-Beltrami relaxed states and their implications Mahajan, Swadesh M.; Lingam, Manasvi Physics of Plasmas, Vol. 22, Issue 9 https://doi.org/10.1063/1.4931069	journal	September 2015
A Hamiltonian five-field gyrofluid model Keramidas Charidakos, I.; Waelbroeck, F. L.; Morrison, P. J. Physics of Plasmas, Vol. 22, Issue 11 https://doi.org/10.1063/1.4936102	journal	November 2015
Nonlinear Alfvén waves in extended magnetohydrodynamics Abdelhamid, Hamdi M.; Yoshida, Zensho Physics of Plasmas, Vol. 23, Issue 2 https://doi.org/10.1063/1.4941596	journal	February 2016
Nonlinear variational method for predicting fast collisionless magnetic reconnection Hirota, M.; Morrison, P. J.; Ishii, Y. Nuclear Fusion, Vol. 53, Issue 6 https://doi.org/10.1088/0029-5515/53/6/063024	journal	May 2013
Hybrid Vlasov-MHD models: Hamiltonian vs. non-Hamiltonian Tronci, Cesare; Tassi, Emanuele; Camporeale, Enrico Plasma Physics and Controlled Fusion, Vol. 56, Issue 9 https://doi.org/10.1088/0741-3335/56/9/095008	journal	July 2014
Hamiltonian approach to hybrid plasma models Tronci, Cesare Journal of Physics A: Mathematical and Theoretical, Vol. 43, Issue 37 https://doi.org/10.1088/1751-8113/43/37/375501	journal	July 2010
Helical bifurcation and tearing mode in a plasma—a description based on Casimir foliation Yoshida, Z.; Dewar, R. L. Journal of Physics A: Mathematical and Theoretical, Vol. 45, Issue 36 https://doi.org/10.1088/1751-8113/45/36/365502	journal	August 2012
Canonical Hamiltonian mechanics of Hall magnetohydrodynamics and its limit to ideal magnetohydrodynamics Yoshida, Z.; Hameiri, E. Journal of Physics A: Mathematical and Theoretical, Vol. 46, Issue 33 https://doi.org/10.1088/1751-8113/46/33/335502	journal	July 2013
Hamiltonian formalism of extended magnetohydrodynamics Abdelhamid, H. M.; Kawazura, Y.; Yoshida, Z. Journal of Physics A: Mathematical and Theoretical, Vol. 48, Issue 23 https://doi.org/10.1088/1751-8113/48/23/235502	journal	May 2015
Hamiltonian closures for fluid models with four moments by dimensional analysis Perin, M.; Chandre, C.; Morrison, P. J. Journal of Physics A: Mathematical and Theoretical, Vol. 48, Issue 27 https://doi.org/10.1088/1751-8113/48/27/275501	journal	June 2015
Hamiltonian structure of two-fluid plasma dynamics Spencer, Richard G.; Kaufman, Allan N. Physical Review A, Vol. 25, Issue 4 https://doi.org/10.1103/PhysRevA.25.2437	journal	April 1982
Action principle for relativistic magnetohydrodynamics D’Avignon, Eric; Morrison, P. J.; Pegoraro, F. Physical Review D, Vol. 91, Issue 8 https://doi.org/10.1103/PhysRevD.91.084050	journal	April 2015
Helicity-based particle-relabeling operator and normal mode expansion of the dissipationless incompressible Hall magnetohydrodynamics Araki, Keisuke Physical Review E, Vol. 92, Issue 6 https://doi.org/10.1103/PhysRevE.92.063106	journal	December 2015
Noncanonical Hamiltonian Density Formulation of Hydrodynamics and Ideal Magnetohydrodynamics Morrison, Philip J.; Greene, John M. Physical Review Letters, Vol. 45, Issue 10 https://doi.org/10.1103/PhysRevLett.45.790	journal	September 1980
Double Curl Beltrami Flow: Diamagnetic Structures Mahajan, S. M.; Yoshida, Z. Physical Review Letters, Vol. 81, Issue 22 https://doi.org/10.1103/PhysRevLett.81.4863	journal	November 1998
Variational Principles and Self-Organization in Two-Fluid Plasmas Yoshida, Z.; Mahajan, S. M. Physical Review Letters, Vol. 88, Issue 9 https://doi.org/10.1103/PhysRevLett.88.095001	journal	February 2002
An Action Principle for Magnetohydrodynamics Calkin, M. G. Canadian Journal of Physics, Vol. 41, Issue 12 https://doi.org/10.1139/p63-216	journal	December 1963

Similar Records

Derivation of the Hall and extended magnetohydrodynamics brackets

Journal Article · 2016 · Physics of Plasmas · OSTI ID:22598965

Lingam, Manasvi

Concomitant Hamiltonian and topological structures of extended magnetohydrodynamics

Journal Article · 2016 · Physics Letters. A · OSTI ID:1347255

Lingam, Manasvi; Miloshevich, George; Morrison, Philip J.

Relaxation model for extended magnetohydrodynamics: Comparison to magnetohydrodynamics for dense Z-pinches

Journal Article · 2011 · Physics of Plasmas · OSTI ID:1114998

Seyler, C. E.; Martin, M. R.

Title: Derivation of the Hall and extended magnetohydrodynamics brackets

Citation Formats

References (50)

Similar Records

Related Subjects