Plasma turbulence in the equatorial electrojet: A two-dimensional Hamiltonian fluid model

Ehab Hassan; I. Keramidas Charidakos; P. J. Morrison; D. R. Hatch; W. Horton

doi:10.1063/1.4989709

Plasma turbulence in the equatorial electrojet: A two-dimensional Hamiltonian fluid model

Ehab Hassan
, I. Keramidas Charidakos
, P. J. Morrison
, D. R. Hatch
, W. Horton

Research output: Contribution to journal › Article › peer-review

Abstract

A nonlinear unified fluid model that describes the Equatorial Electrojet, including the Farley-Buneman and gradient-drift plasma instabilities, is defined and shown to be a noncanonical Hamiltonian system. Two geometric constants of motion for the model are obtained and shown to be Casimir invariants. A reformulation of the model shows the roles of the density-gradient scale-length (L_n) and the cross-field drift-velocity (υE) in controlling the dynamics of unstable modes in the growing, transition, and saturation phases of a simulation.

Original language	English
Article number	072301
Journal	Physics of Plasmas
Volume	24
Issue number	7
DOIs	https://doi.org/10.1063/1.4989709
State	Published - Jul 1 2017
Externally published	Yes

Funding

This work was supported by U.S. Department of Energy under Contract No. #DE-FG02-04ER-54742. P.J.M. would like to acknowledge support from the Humboldt Foundation and the hospitality of the Numerical Plasma Physics Division of the IPP, Max Planck, Garching.

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abstract = "A nonlinear unified fluid model that describes the Equatorial Electrojet, including the Farley-Buneman and gradient-drift plasma instabilities, is defined and shown to be a noncanonical Hamiltonian system. Two geometric constants of motion for the model are obtained and shown to be Casimir invariants. A reformulation of the model shows the roles of the density-gradient scale-length (Ln) and the cross-field drift-velocity (υE) in controlling the dynamics of unstable modes in the growing, transition, and saturation phases of a simulation.",

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AB - A nonlinear unified fluid model that describes the Equatorial Electrojet, including the Farley-Buneman and gradient-drift plasma instabilities, is defined and shown to be a noncanonical Hamiltonian system. Two geometric constants of motion for the model are obtained and shown to be Casimir invariants. A reformulation of the model shows the roles of the density-gradient scale-length (Ln) and the cross-field drift-velocity (υE) in controlling the dynamics of unstable modes in the growing, transition, and saturation phases of a simulation.

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Plasma turbulence in the equatorial electrojet: A two-dimensional Hamiltonian fluid model

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