Gyrokinetic equivalence

Felix I. Parra, Peter J. Catto

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


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 languageEnglish (US)
Article number065002
JournalPlasma Physics and Controlled Fusion
Issue number6
StatePublished - 2009
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear Energy and Engineering
  • Condensed Matter Physics


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