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

Title: Action principles for extended magnetohydrodynamic models

Abstract

The general, non-dissipative, two-fluid model in plasma physics is Hamiltonian, but this property is sometimes lost or obscured in the process of deriving simplified (or reduced) two-fluid or one-fluid models from the two-fluid equations of motion. To ensure that the reduced models are Hamiltonian, we start with the general two-fluid action functional, and make all the approximations, changes of variables, and expansions directly within the action context. The resulting equations are then mapped to the Eulerian fluid variables using a novel nonlocal Lagrange-Euler map. Using this method, we recover Lüst's general two-fluid model, extended magnetohydrodynamic (MHD), Hall MHD, and electron MHD from a unified framework. The variational formulation allows us to use Noether's theorem to derive conserved quantities for each symmetry of the action.

Authors:
; ; ;  [1];  [2]
  1. Institute for Fusion Studies and Department of Physics, The University of Texas at Austin, Austin, Texas 78712 (United States)
  2. Department of Physical and Biological Sciences, Western New England University, Springfield, Massachusetts 01119 (United States)
Publication Date:
OSTI Identifier:
22303430
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 21; Journal Issue: 9; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; APPROXIMATIONS; ELECTRONS; EQUATIONS OF MOTION; FLUIDS; HAMILTONIANS; MAGNETOHYDRODYNAMICS; PLASMA; PLASMA EXPANSION; SYMMETRY; VARIATIONAL METHODS

Citation Formats

Keramidas Charidakos, I., Lingam, M., Morrison, P. J., White, R. L., and Wurm, A. Action principles for extended magnetohydrodynamic models. United States: N. p., 2014. Web. doi:10.1063/1.4896336.
Keramidas Charidakos, I., Lingam, M., Morrison, P. J., White, R. L., & Wurm, A. Action principles for extended magnetohydrodynamic models. United States. doi:10.1063/1.4896336.
Keramidas Charidakos, I., Lingam, M., Morrison, P. J., White, R. L., and Wurm, A. Mon . "Action principles for extended magnetohydrodynamic models". United States. doi:10.1063/1.4896336.
@article{osti_22303430,
title = {Action principles for extended magnetohydrodynamic models},
author = {Keramidas Charidakos, I. and Lingam, M. and Morrison, P. J. and White, R. L. and Wurm, A.},
abstractNote = {The general, non-dissipative, two-fluid model in plasma physics is Hamiltonian, but this property is sometimes lost or obscured in the process of deriving simplified (or reduced) two-fluid or one-fluid models from the two-fluid equations of motion. To ensure that the reduced models are Hamiltonian, we start with the general two-fluid action functional, and make all the approximations, changes of variables, and expansions directly within the action context. The resulting equations are then mapped to the Eulerian fluid variables using a novel nonlocal Lagrange-Euler map. Using this method, we recover Lüst's general two-fluid model, extended magnetohydrodynamic (MHD), Hall MHD, and electron MHD from a unified framework. The variational formulation allows us to use Noether's theorem to derive conserved quantities for each symmetry of the action.},
doi = {10.1063/1.4896336},
journal = {Physics of Plasmas},
issn = {1070-664X},
number = 9,
volume = 21,
place = {United States},
year = {2014},
month = {9}
}