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

A class of simple kinetic systems is considered, described by the 1DVlasov-Landau equation with Poisson or Boltzmann electrostatic response and anenergy source. Assuming a stochastic electric field, a solvable model isconstructed for the phase-space turbulence of the particle distribution. Themodel is a kinetic analog of the Kraichnan-Batchelor model of chaoticadvection. The solution of the model is found in Fourier-Hermite space andshows that the free-energy flux from low to high Hermite moments is suppressed,with phase mixing cancelled on average by anti-phase-mixing (stochastic plasmaecho). This implies that Landau damping is an ineffective route to dissipation(i.e., to thermalisation of electric energy via velocity space). The fullFourier-Hermite spectrum is derived. Its asymptotics are $m^{-3/2}$ at low wavenumbers and high Hermite moments ($m$) and $m^{-1/2}k^{-2}$ at low Hermitemoments and high wave numbers ($k$). These conclusions hold at wave numbersbelow a certain cut off (analog of Kolmogorov scale), which increases with theamplitude of the stochastic electric field and scales as inverse square of thecollision rate. The energy distribution and flows in phase space are a simpleand, therefore, useful example of competition between phase mixing andnonlinear dynamics in kinetic turbulence, reminiscent of more realistic butmore complicated multi-dimensional systems that have not so far been amenableto complete analytical solution.

A solvable model of Vlasov-kinetic plasma turbulence in Fourier-Hermite phase space