publication . Article . Preprint . 2014

Numerical study on a canonized Hamiltonian system representing reduced magnetohydrodynamics and its comparison with two-dimensional Euler system

Kaneko, Yuta; Yoshida, Zensho;

Open Access

Published: 21 Jan 2014 Journal: Physics of Plasmas, volume 21, page 32,103 (issn: 1070-664X, eissn: 1089-7674,

Publisher: AIP Publishing

Summary
references
9

Abstract

Introducing a Clebsch-like parameterization, we have formulated a canonical Hamiltonian system on a symplectic leaf of reduced magnetohydrodynamics. An interesting structure of the equations is in that the Lorentz-force, which is a quadratic nonlinear term in the conventional formulation, appears as a linear term -{\Delta}Q, just representing the current density (Q is a Clebsch variable, and {\Delta} is the two-dimensional Laplacian); omitting this term reduces the system into the two-dimensional Euler vorticity equation of a neutral fluid. A heuristic estimate shows that current sheets grow exponentially (even in a fully nonlinear regime) together with the acti...

doi: 10.1063/1.4863982

Subjects

free text keywords: Condensed Matter Physics, Laplace operator, Physics, Nonlinear system, Symplectic geometry, Vorticity equation, Euler's formula, symbols.namesake, symbols, Classical mechanics, Numerical analysis, Hamiltonian system, Euler system, Physics - Plasma Physics

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