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Standing autoresonant plasma waves

Part of: The Many Facets of the Vlasov Equation

Published online by Cambridge University Press:  11 May 2020

L. Friedland Open the ORCID record for L. Friedland [Opens in a new window]  and
A. G. Shagalov
L. Friedland*
Affiliation:
Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem91904, Israel
A. G. Shagalov
Affiliation:
Institute of Metal Physics, Ekaterinburg620990, Russian Federation Ural Federal University, Mira 19, Ekaterinburg620002, Russian Federation
*
†Email address for correspondence: [email protected]
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Abstract

The formation and control of strongly nonlinear standing plasma waves (SPWs) from a trivial equilibrium by a chirped frequency drive are discussed. If the drive amplitude exceeds a threshold, after passage through the linear resonance in this system, the excited wave preserves the phase locking with the drive, yielding a controlled growth of the wave amplitude. We illustrate these autoresonant waves via Vlasov–Poisson simulations, showing the formation of sharply peaked excitations with local electron density maxima significantly exceeding the unperturbed plasma density. The Whitham averaged variational approach applied to a simplified water bag model yields the weakly nonlinear evolution of the autoresonant SPWs and the autoresonance threshold. If the chirped driving frequency approaches some constant level, the driven SPW saturates at a target amplitude, avoiding the kinetic wave breaking.

Keywords

plasma nonlinear phenomenaplasma wavesplasma simulation
Type
Research Article
Information
Journal of Plasma Physics , Volume 86 , Issue 3 , June 2020 , 825860301
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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