Physics – Plasma Physics
Scientific paper
Mar 2012
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012aps..apr.k1059w&link_type=abstract
American Physical Society, APS April Meeting 2012, March 31-Apr 3, 2012, abstract #K1.059
Physics
Plasma Physics
Scientific paper
Many magnetofluid theories, like ideal MHD and various reduced models, exhibit a noncanonical Hamiltonian structure when expressed in Eulerian variables [1]. Of particular interest are magnetofluid models that systematically include contributions due to finite ion gyro-radii. Building on the work of Ref. [2] we generalize the so-called gyro-map to three dimensional magnetofluid theories. Starting with the 3D ideal MHD noncanonical Poisson bracket [1] and a Hamiltonian including general gyroviscous terms, we derive equations of motions and compare them to, e.g., Braginskii [3] in the collisionless limit. In addition we explore the Lagrangian version of these theories which use Hamilton's principle to derive the equations of motion [4]. [4pt] [1] P.J. Morrison and J.M. Greene, Phys. Rev. A 45,790 (1980).[0pt] [2] P.J. Morrison, I.L. Caldas, and H. Tasso, Z. Naturforsch. 39a, 1023 (1984).[0pt] [3] S.I. Braginskii, in Review of Plasma Physics, ed. M.A. Leontovich (Consultants Bureau, New York, 1965), Vol. 1, p. 205.[0pt] [4] W.A. Newcomb, Nuclear Fusion: 1962 Suppl. Part 2, p. 451.
Morrison Philip J.
Wurm Alexander
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