TY - JOUR
T1 - Irreversible energy flow in forced Vlasov dynamics
AU - Plunk, Gabriel G.
AU - Parker, Joseph T.
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-C1-013-04
Acknowledgements: This work was supported by the UK Engineering and Phys-ical Sciences Research Council through a Doctoral TrainingGrant award to J.T.P., with additional support from AwardNo KUK-C1-013-04 made by King Abdullah University of Sci-ence and Technology (KAUST). G.G.P. acknowledges supportfrom the Max-Planck/Princeton Research Center for PlasmaPhysics. This project has received funding from the EuropeanUnion’s Horizon 2020 research and innovation programme un-der Grant agreement No. 633053. The views and opinions ex-pressed herein do not necessarily reflect those of the EuropeanCommission.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.
PY - 2014/10/14
Y1 - 2014/10/14
N2 - © 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.
AB - © 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.
UR - http://hdl.handle.net/10754/598677
UR - http://link.springer.com/10.1140/epjd/e2014-50157-8
UR - http://www.scopus.com/inward/record.url?scp=84908374169&partnerID=8YFLogxK
U2 - 10.1140/epjd/e2014-50157-8
DO - 10.1140/epjd/e2014-50157-8
M3 - Article
SN - 1434-6060
VL - 68
JO - The European Physical Journal D
JF - The European Physical Journal D
IS - 10
ER -