Multiscale gyrokinetics for rotating tokamak plasmas: II. Reduced models for electron dynamics

I. G. Abel, S. C. Cowley

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

In this paper, we extend the multiscale approach developed in Abel et al (2012 Rep. Prog. Phys. submitted) by exploiting the scale separation between ions and the electrons. The gyrokinetic equation is expanded in powers of the electron to ion mass ratio, which provides a rigorous method for deriving the reduced electron model. We prove that ion-scale electromagnetic turbulence cannot change the magnetic topology, and argue that to lowest order the magnetic field lies on fluctuating flux surfaces. These flux surfaces are used to construct magnetic coordinates, and in these coordinates a closed system of equations for the electron response to ion-scale turbulence is derived. All fast electron timescales have been eliminated from these equations. We also use these magnetic surfaces to construct transport equations for electrons and for electron heat in terms of the reduced electron model.

Original languageEnglish (US)
Article number023041
JournalNew Journal of Physics
Volume15
DOIs
StatePublished - Feb 1 2013
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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