Gyrokinetic equivalence

Felix I. Parra; Peter J. Catto

doi:10.1088/0741-3335/51/6/065002

Gyrokinetic equivalence

Felix I. Parra, Peter J. Catto

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

8 Scopus citations

Abstract

We compare two different derivations of the gyrokinetic equation: the Hamiltonian approach in Dubin D H E et al (1983 Phys. Fluids 26 3524) and the recursive methodology in Parra F I and Catto P J (2008 Plasma Phys. Control. Fusion 50 065014). We prove that both approaches yield the same result at least to second order in a Larmor radius over macroscopic length expansion. There are subtle differences in the definitions of some of the functions that need to be taken into account to prove the equivalence.

Original language	English (US)
Article number	065002
Journal	Plasma Physics and Controlled Fusion
Volume	51
Issue number	6
DOIs	https://doi.org/10.1088/0741-3335/51/6/065002
State	Published - 2009
Externally published	Yes

All Science Journal Classification (ASJC) codes

Nuclear Energy and Engineering
Condensed Matter Physics

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10.1088/0741-3335/51/6/065002

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title = "Gyrokinetic equivalence",

abstract = "We compare two different derivations of the gyrokinetic equation: the Hamiltonian approach in Dubin D H E et al (1983 Phys. Fluids 26 3524) and the recursive methodology in Parra F I and Catto P J (2008 Plasma Phys. Control. Fusion 50 065014). We prove that both approaches yield the same result at least to second order in a Larmor radius over macroscopic length expansion. There are subtle differences in the definitions of some of the functions that need to be taken into account to prove the equivalence.",

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AU - Catto, Peter J.

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AB - We compare two different derivations of the gyrokinetic equation: the Hamiltonian approach in Dubin D H E et al (1983 Phys. Fluids 26 3524) and the recursive methodology in Parra F I and Catto P J (2008 Plasma Phys. Control. Fusion 50 065014). We prove that both approaches yield the same result at least to second order in a Larmor radius over macroscopic length expansion. There are subtle differences in the definitions of some of the functions that need to be taken into account to prove the equivalence.

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Gyrokinetic equivalence

Abstract

All Science Journal Classification (ASJC) codes

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