Irreversible energy flow in forced Vlasov dynamics

Gabriel G. Plunk, Joseph T. Parker

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


© EDP Sciences, Società Italiana di Fisica, Springer-Verlag. The recent paper of Plunk [G.G. Plunk, Phys. Plasmas 20, 032304 (2013)] considered the forced linear Vlasov equation as a model for the quasi-steady state of a single stable plasma wavenumber interacting with a bath of turbulent fluctuations. This approach gives some insight into possible energy flows without solving for nonlinear dynamics. The central result of the present work is that the forced linear Vlasov equation exhibits asymptotically zero (irreversible) dissipation to all orders under a detuning of the forcing frequency and the characteristic frequency associated with particle streaming. We first prove this by direct calculation, tracking energy flow in terms of certain exact conservation laws of the linear (collisionless) Vlasov equation. Then we analyze the steady-state solutions in detail using a weakly collisional Hermite-moment formulation, and compare with numerical solution. This leads to a detailed description of the Hermite energy spectrum, and a proof of no dissipation at all orders, complementing the collisionless Vlasov result.
Original languageEnglish (US)
JournalThe European Physical Journal D
Issue number10
StatePublished - Oct 14 2014
Externally publishedYes


Dive into the research topics of 'Irreversible energy flow in forced Vlasov dynamics'. Together they form a unique fingerprint.

Cite this