Sherwood 2015

Abstract Details

files Add files

Deriving 3D-MHD models with gyroviscous-like contributions using a Hamiltonian and Action Principle Approach

Author: Alexander Wurm
Requested Type: Poster Only
Submitted: 2015-01-19 15:08:32

Co-authors: M.Lingam, P.J.Morrison

Contact Info:
Western New England University
1215 Wilbraham Road
Springfield, MA   01119

Abstract Text:
Ideal MHD and various reduced magnetofluid models have been shown to exhibit a noncanonical Hamiltonian structure when expressed in
Eulerian variables[1]. Alternatively, some of these models can be derived from an action principle expressed in Lagrangian variables. In this work, an extension of Ref. [2], we explore the possibility of including finite ion gyro-radii contributions in three dimensions while preserving a noncanonical Hamiltonian structure. Starting with the Morrison-Greene 3D ideal MHD noncanonical Poisson bracket[1] and a Hamiltonian including gyroviscous-like terms, we derive equations of motion using a three-dimensional generalization of the gyro-map introduced in Ref.[2]. The gyro-map is analyzed further using an action principle formulation as in Ref.[3], which is shown to lead to the same equations of motion as the Hamiltonian approach.

[1] P.J. Morrison and J.M. Greene, Phys. Rev. A 45,790 (1980).
[2] P.J. Morrison, I.L. Caldas, and H. Tasso, Z. Naturforsch. 39a, 1023 (1984).
[3] P.J. Morrison, M. Lingam, and R. Acevedo, Phys. of Plasmas 21, 082102(2014).

Alexander Wurm next to Manasvi Lingam

March 16-18, 2015
The Courant Institute, New York University