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    On Hamiltonian And Action Principle Formulations Of Plasma Dynamics

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    HamiltonianActionPrinciple.pdf (928.6Kb)
    Date
    2009-11
    Author
    Morrison, P. J.
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    Abstract
    A general discussion of Hamiltonian and action principle formulations for fluid and plasma models is given. A procedure, based on Hamilton's principle of mechanics but adapted for continua, for the construction of action principles for fluid and kinetic models is given. The transformation from action principles in terms of the Lagrangian variable description to the Eulerian variable description in terms of noncanonical Poisson brackets is described. Two examples are developed: ideal MHD and Braginskii's fluid model with gyroviscosity.
    Department
    Physics
    Subject
    action principle
    variational principle
    hamiltonian
    plasma
    noncanonical
    poisson bracket
    magnetohydrodynamics
    gyroviscosity
    braginskii
    4-field model
    fluid
    magnetohydrodynamics
    hydrodynamics
    physics, fluids & plasmas
    URI
    http://hdl.handle.net/2152/29471
    Citation
    P. J. Morrison. AIP Conference Proceedings 1188, 329 (Nov., 2009); doi: 10.1063/1.3266810
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