Shear Alfvén Wave Perpendicular Propagation from the Kinetic to the Inertial Regime

Vincena, S.; Gekelman, Walter; Maggs, J. E.

doi:10.1103/physrevlett.93.105003

Cited by 55 publications

(49 citation statements)

References 22 publications

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“…[29] (β e is the ratio of the electron kinetic pressure to the magnetic pressures). For β e ∼ m e /m i (v te ∼ v A ), however, our equations must be modified to account for electron Landau damping.…”

Section: Formulationmentioning

confidence: 99%

A compressible Hamiltonian electromagnetic gyrofluid model

Waelbroeck

Tassi

2012

Communications in Nonlinear Science and Numerical Simulation

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A Lie-Poisson bracket is presented for a four-field gyrofluid model with compressible ions and magnetic field curvature, thereby showing the model to be Hamiltonian. In particular, in addition to commonly adopted magnetic curvature terms present in the continuity equations, analogous terms must be retained also in the momentum equations, in order to have a Lie-Poisson structure.The corresponding Casimir invariants are presented, and shown to be associated to four Lagrangian invariants, that get advected by appropriate "velocity" fields during the dynamics. This differs from a cold ion limit, in which the Lie-Poisson bracket transforms into the sum of direct and semidirect products, leading to only three Lagrangian invariants.

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Section: Formulationmentioning

confidence: 99%

A compressible Hamiltonian electromagnetic gyrofluid model

Waelbroeck

Tassi

2012

Communications in Nonlinear Science and Numerical Simulation

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“…In this limit, the spatial scale that defines a "small" perpendicular wavelength is the ion sound gyroradius, q s ¼ c s =x ci , where x ci ¼ eB 0 =m i c is the ion cyclotron frequency and c s ¼ (k B T e =m i ) 1=2 is the ion sound speed, with e being the charge of an electron, k B is Boltzmann's constant, m e is the electron mass, and c is the speed of light. 11 For electron thermal speeds less than the Alfvén speed, electron inertia becomes important and the wave is referred to as an "inertial Alfvén wave (IAW)." In this limit, the relevant "small" spatial scale is the electron skin depth, d e ¼ c=x pe , where x pe ¼ (4pn e e 2 =m e ) 1=2 and n e is the electron density.…”

Section: Introductionmentioning

confidence: 99%

Ducted kinetic Alfvén waves in plasma with steep density gradients

Houshmandyar

Scime

2011

Physics of Plasmas

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Given their high plasma density (n $ 10 13 cm À3 ), it is theoretically possible to excite Alfvén waves in a conventional, moderate length (L $ 2 m) helicon plasma source. However, helicon plasmas are decidedly inhomogeneous, having a steep radial density gradient, and typically have a significant background neutral pressure. The inhomogeneity introduces regions of kinetic and inertial Alfvén wave propagation. Ion-neutral and electron-neutral collisions alter the Alfvén wave dispersion characteristics. Here, we present the measurements of propagating kinetic Alfvén waves in helium helicon plasma. The measured wave dispersion is well fit with a kinetic model that includes the effects of ion-neutral damping and that assumes the high density plasma core defines the radial extent of the wave propagation region. The measured wave amplitude versus plasma radius is consistent with the pile up of wave magnetic energy at the boundary between the kinetic and inertial regime regions.

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“…This wave is the electrostatic limit of the shear Alfvén wave, 24,25 which lies in the regime of inertial Alfvén waves. 26,27 The difficulties introduced by such a wave could be eased by including magnetic perturbations from A , in which case the dispersion relation (in the fluid electron regime ξ 1) becomes…”

Section: A Electrostatic Model With a Modified Ion Polarization Termmentioning

confidence: 99%

A gyrokinetic one-dimensional scrape-off layer model of an edge-localized mode heat pulse

2015

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An electrostatic gyrokinetic-based model is applied to simulate parallel plasma transport in the scrape-off layer to a divertor plate. The authors focus on a test problem that has been studied previously, using parameters chosen to model a heat pulse driven by an edge-localized mode (ELM) in JET. Previous work has used direct particle-in-cell equations with full dynamics, or Vlasov or fluid equations with only parallel dynamics. With the use of the gyrokinetic quasineutrality equation and logical sheath boundary conditions, spatial and temporal resolution requirements are no longer set by the electron Debye length and plasma frequency, respectively. This test problem also helps illustrate some of the physics contained in the Hamiltonian form of the gyrokinetic equations and some of the numerical challenges in developing an edge gyrokinetic code.

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Shear Alfvén Wave Perpendicular Propagation from the Kinetic to the Inertial Regime

Cited by 55 publications

References 22 publications

A compressible Hamiltonian electromagnetic gyrofluid model

A compressible Hamiltonian electromagnetic gyrofluid model

Ducted kinetic Alfvén waves in plasma with steep density gradients

A gyrokinetic one-dimensional scrape-off layer model of an edge-localized mode heat pulse

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