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 Tools annual

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 monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

The linearized Vlasov-Poisson system can be exactly solved using the$G$-transform, an integral transform introduced in Refs. 1-3 that removes theelectric field term, leaving a simple advection equation. We investigate howthis integral transform interacts with the Fokker-Planck collision operator.The commutator of this collision operator with the $G$-transform (the"shielding term") is shown to be negligible. We exactly solve theadvection-diffusion equation without the shielding term. This solutiondetermines when collisions dominate and when advection (i.e. Landau damping)dominates. This integral transform can also be used to simplifygyro-/drift-kinetic equations. We present new gyrofluid equations formed bytaking moments of the $G$-transformed equation. Since many gyro-/drift-kineticcodes use Hermite polynomials as basis elements, we include an explicitcalculation of their $G$-transform.

An integral transform technique for kinetic systems with collisions