Comment on “Nonlinear gyrokinetic theory with polarization drift” [Phys. Plasmas 17, 082304 (2010)]

Leerink, S.; Parra, Félix I.; Heikkinen, Jukka

doi:10.1063/1.3521605

Cited by 5 publications

(5 citation statements)

References 6 publications

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“…Previous symplectic gyrokinetic models considered either the parallel component of the perturbed vector potential (Hahm et al 1988; Brizard 2017) or the inclusion of the perturbed velocity (Wang & Hahm 2010 a , b ; Leerink, Parra & Heikkinen 2010), or both (Duthoit, Hahm & Wang 2014). In the present symplectic gyrokinetic model (3.5) and (3.6), the addition of the perturbed magnetic flutter momentum to the momentum yields a covariant treatment of the electric dipole moment in the gyrocentre polarization and magnetization; see (3.23)–(3.26).…”

Section: Gauge-free Gyrocentre Lagrangian Dynamicsmentioning

confidence: 99%

Exact conservation laws for gauge-free electromagnetic gyrokinetic equations

Brizard

2021

J. Plasma Phys.

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The exact energy and angular momentum conservation laws are derived by the Noether method for the Hamiltonian and symplectic representations of the gauge-free electromagnetic gyrokinetic Vlasov–Maxwell equations. These gyrokinetic equations, which are solely expressed in terms of electromagnetic fields, describe the low-frequency turbulent fluctuations that perturb a time-independent toroidally-axisymmetric magnetized plasma. The explicit proofs presented here provide a complete picture of the transfer of energy and angular momentum between the gyrocentres and the perturbed electromagnetic fields, in which the crucial roles played by gyrocentre polarization and magnetization effects are highlighted. In addition to yielding an exact angular momentum conservation law, the gyrokinetic Noether equation yields an exact momentum transport equation, which might be useful in more general equilibrium magnetic geometries.

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Section: Gauge-free Gyrocentre Lagrangian Dynamicsmentioning

confidence: 99%

Exact conservation laws for gauge-free electromagnetic gyrokinetic equations

Brizard

2021

J. Plasma Phys.

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“…Gyrokinetic ions (main and impurities) and drift‐kinetic electrons are simulated. A particularity of Elmfire is the use of a definition of the gyroradius that includes a contribution from the E × B drift and causes polarization effects to manifest in the form of polarization drift in the equations of motion . For ( R , U ), the gyrocentre position, and velocity parallel to the magnetic field, the equations of motion read:

\dot{bold-italicR} = \frac{{bold-italicB}^{*} U + {bold-italicE}^{*} \times \overset{true^}{bold-italicb}}{B_{∥}^{*}}

\dot{U} = \frac{e_{s}}{m_{s}} \frac{{bold-italicB}^{*} \cdot {bold-italicE}^{*}}{B_{∥}^{*}}

…”

Section: About Elmfirementioning

confidence: 99%

“…A particularity of ELMFIRE is the use of a definition of the gyroradius that includes a contribution from the E × B drift and causes polarization effects to manifest in the form of polarization drift in the equations of motion. [17][18][19] For (R, U), the gyrocentre position, and velocity parallel to the magnetic field, the equations of motion read:…”

Section: About Elmfirementioning

confidence: 99%

Improved boundary condition for full‐f gyrokinetic simulations of circular‐limited tokamak plasmas in ELMFIRE

Chôné

Kiviniemi

Leerink

et al. 2018

Contributions to Plasma Physics

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We report new results of full‐torus gyrokinetic simulations of electrostatic turbulence with Elmfire spanning from the magnetic axis to the scrape‐off layer (SOL). The new implementation presented here uses the logical boundary condition, which allows for improved stability and flexibility in terms of geometry. We simulate the full plasma of the FT‐2 tokamak (Ioffe Institute, Saint‐Petersburg, Russian Federation), with two poloidal limiters defining the SOL. We recover expected results in the SOL and find an improvement in our capacity to model the experimental particle and energy sinks in the SOL.

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“…In the present work, the electrostatic potential is obtained in quasi-ballooning coordinates. Further details on the implicit solver for the electron parallel motion can be found in [18] and the relationship between this direct implicit method and the standard GK equations is discussed in [16,[19][20][21].…”

Section: The Full F Gk Code Elmfirementioning

confidence: 99%