English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The time-independent projection-operator formalism of Brey et al. [Physica109A, 425-444 (1981)] for the derivation of Burnett equations is extended andconsidered in the context of multispecies and magnetized plasmas. The procedureprovides specific formulas for the transport coefficients in terms of two-timecorrelation functions involving both two and three phase-space points. It isshown how to calculate those correlation functions in the limit of weakcoupling. The results are used to demonstrate, with the aid of a particularnontrivial example, that previously derived formulas from the two-timeformalism [J. J. Brey, J. Chem. Phys. 79, 4585-598 (1983)] are consistent withthe Chapman-Enskog methodology employed later by Catto & Simakov (CS) [Phys.Plasmas 11, 90-102 (2004)] for the contributions to the parallel viscositydriven by temperature gradients. The work serves to unify various previous workon plasma kinetic theory with formalism usually applied to turbulence theory.Additional contributions include discussions of (i) Braginskii-orderinterspecies momentum exchange from the point of view of two-time correlations;and (ii) a simple stochastic model, unrelated to many-body theory, thatexhibits Burnett effects. Insights from that model emphasize the role ofnon-Gaussian statistics in the evaluation of Burnett transport coefficients,including the effects calculated by CS that stem from the nonlinear collisionoperator. Together, Parts I and II of this series provide a tutorialintroduction to projection-operator methods that should be broadly useful intheoretical plasma physics. A Supplement (bundled at the end of Part II)provides some technical details of the reduction of the general Burnettequations of Brey et al. (1981) to a one-component neutral fluid in order tosupport the result quoted by Brey (1983).

Projection-operator methods for classical transport in magnetized plasmas. II. Nonlinear response and the Burnett equations