Action principles for extended magnetohydrodynamic models
- Institute for Fusion Studies and Department of Physics, The University of Texas at Austin, Austin, Texas 78712 (United States)
- Department of Physical and Biological Sciences, Western New England University, Springfield, Massachusetts 01119 (United States)
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.
- OSTI ID:
- 22303430
- Journal Information:
- Physics of Plasmas, Vol. 21, Issue 9; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
- Country of Publication:
- United States
- Language:
- English
Similar Records
The Maxwell{endash}Vlasov equations in Euler{endash}Poincar{acute e} form
Action principles for relativistic extended magnetohydrodynamics: A unified theory of magnetofluid models