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Title: Hamiltonian and action principle formalisms for spin-1/2 magnetohydrodynamics

A Hamiltonian and Action Principle formulation of spin-1/2 magnetohydrodynamics is presented via a first-principles derivation of the underlying Lagrangian, and the associated Hamiltonian. The derivation invokes the notion of “frozen-in” constraints, symmetry breaking, and similarities with Ginzburg-Landau theory to arrive at the relevant terms in the Hamiltonian. The model thus obtained includes the effects of spin and other quantum corrections and is shown to be in full agreement with existent models in the literature. It is also indicated how two-fluid effects, gyroviscosity, and anisotropic pressure can be included in the model, in addition to incorporating higher-order (nonlinear) quantum spin corrections. An interesting analogy with the theory of liquid crystals is also highlighted.
Authors:
 [1]
  1. Department of Physics and Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712 (United States)
Publication Date:
OSTI Identifier:
22408077
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 2; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ANISOTROPY; CORRECTIONS; GINZBURG-LANDAU THEORY; HAMILTONIANS; LAGRANGIAN FUNCTION; LIQUID CRYSTALS; MAGNETOHYDRODYNAMICS; SPIN; SYMMETRY BREAKING