Structure and computation of two-dimensional incompressible extended MHD

Grasso, Daniela; Tassi, E.; Abdelhamid, H. M.; Morrison, P. J.

doi:10.1063/1.4974039

Title: Structure and computation of two-dimensional incompressible extended MHD

Journal Article · Mon Jan 23 00:00:00 EST 2017 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4974039· OSTI ID:1535294

^[1]; Tassi, E. ^[2];

^[3];

^[4]

ISC-CNR and Politecnico di Torino, Torino (Italy). Dept. di Energia
Université de Toulon, Marseille, (France)
Univ. of Tokyo, Kashiwa, Chiba (Japan). Graduate School of Frontier Sciences; Mansoura Univ., Mansoura (Egypt). Physics Dept., Faculty of Science
Univ. of Texas, Austin, TX (United States). Dept. of Physics and Inst. for Fusion Studies

A comprehensive study of the extended magnetohydrodynamic model obtained from the two-fluid theory for electrons and ions with the enforcement of quasineutrality is given. Starting from the Hamiltonian structure of the fully three-dimensional theory, a Hamiltonian two-dimensional incompressible four-field model is derived. In this way, the energy conservation along with four families of Casimir invariants is naturally obtained. The construction facilitates various limits leading to the Hamiltonian forms of Hall, inertial, and ideal MHD, with their conserved energies and Casimir invariants. Basic linear theory of the four-field model is treated, and the growth rate for collisionless reconnection is obtained. Finally, results from nonlinear simulations of collisionless tearing are presented and interpreted using, in particular, normal fields, a product of the Hamiltonian theory that gives rise to simplified equations of motion.

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Research Organization:: Univ. of Texas, Austin, TX (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: FG02-04ER54742; FG02-04ER-54742

OSTI ID:: 1535294

Alternate ID(s):: OSTI ID: 1361737

Journal Information:: Physics of Plasmas, Vol. 24, Issue 1; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 10 works

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Translationally symmetric extended MHD via Hamiltonian reduction: Energy-Casimir equilibria Kaltsas, D. A.; Throumoulopoulos, G. N.; Morrison, P. J. Physics of Plasmas, Vol. 24, Issue 9 https://doi.org/10.1063/1.4986013	journal	September 2017
Direction of cascades in a magnetofluid model with electron skin depth and ion sound Larmor radius scales Miloshevich, George; Morrison, Philip J.; Tassi, Emanuele Physics of Plasmas, Vol. 25, Issue 7 https://doi.org/10.1063/1.5023089	journal	July 2018

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