Linearized model Fokker-Planck collision operators for gyrokinetic simulations. I. Theory

I. G. Abel, M. Barnes, S. C. Cowley, W. Dorland, A. A. Schekochihin

Research output: Contribution to journalArticlepeer-review

100 Scopus citations


A new analytically and numerically manageable model collision operator is developed specifically for turbulence simulations. The like-particle collision operator includes both pitch-angle scattering and energy diffusion and satisfies the physical constraints required for collision operators: it conserves particles, momentum, and energy, obeys Boltzmann's H -theorem (collisions cannot decrease entropy), vanishes on a Maxwellian, and efficiently dissipates small-scale structure in the velocity space. The process of transforming this collision operator into the gyroaveraged form for use in gyrokinetic simulations is detailed. The gyroaveraged model operator is shown to have more suitable behavior at small scales in phase space than previously suggested models. Model operators for electron-ion and ion-electron collisions are also presented.

Original languageAmerican English
Article number122509
JournalPhysics of Plasmas
Issue number12
StatePublished - 2008
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this