Kinetic instabilities in a mirror-confined plasma sustained by high-power microwave radiation

Viktorov, M. E.; Shalashov, A. G.; Golubev, S. V.; Gospodchikov, E. D.; Mansfeld, D. A.; Vodopyanov, A. V.; Зайцев, В. В.

doi:10.1063/1.4964161

Cited by 4 publications

(5 citation statements)

References 26 publications

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“…Unlike the broad spectrum low amplitude waves occupying large coordinate and time domains, these large amplitude waves represent various solitary structures [e.g., electrostatic solitons, electron holes, double layers, and Langmuir wave-packets, see [1][2][3][4][5][6][7][8] and quite localized wave-packets including few wave lengths [e.g., kinetic Alfven pulses, whistler wave packets, and low-hybrid wave bursts, see [9][10][11][12][13][14]. Similar large amplitude wave bursts were reproduced in laboratory experiments [e.g., [15][16][17][18]. The resonant interaction of such waves with charged particles is essentially nondiffusive and includes nonlinear effects like phase trapping and phase bunching (scattering) [e.g., 19, 20, and references therein].…”

Section: Introductionmentioning

confidence: 83%

Charged particle nonlinear resonance with localized electrostatic wave-packets

Artemyev

Vasiliev

Neishtadt

2019

Communications in Nonlinear Science and Numerical Simulation

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A resonant wave-particle interaction, in particular a nonlinear resonance characterized by particle phase trapping, is an important process determining charged particle energization in many space and laboratory plasma systems. Although an individual charged particle motion in the nonlinear resonance is well described theoretically, the kinetic equation modeling the long-term evolution of the resonant particle ensemble has been developed only recently. This study is devoted to generalization of this equation for systems with localized wave packets propagating with the wave group velocity different from the wave phase velocity. We limit our consideration to the Landau resonance of electrons and waves propagating in an inhomogeneous magnetic field. Electrons resonate with the wave field-aligned electric fields associated with gradients of wave electrostatic potential or variations of the field-aligned component of the wave vector potential. We demonstrate how wave-packet properties determine the efficiency of resonant particle acceleration and derive the nonlocal integral operator acting on the resonant particle distribution. This operator describes particle distribution variations due to interaction with one wave-packet. We solve kinetic equation with this operator for many wave-packets and show that solutions coincide with the results of the numerical integration of test particle trajectories. To demonstrate the range of possible applications of the proposed approach, we consider the electron evolution induced by the Landau resonances with packets of kinetic Alfven waves, electron acoustic waves, and very oblique whistler waves in the near-Earth space plasma.

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Section: Introductionmentioning

confidence: 83%

Charged particle nonlinear resonance with localized electrostatic wave-packets

Artemyev

Vasiliev

Neishtadt

2019

Communications in Nonlinear Science and Numerical Simulation

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“…A basic electrodynamic analysis suggests that the unstable mode is a standing wave with a circularly polarized transverse electric field near the trap axis. Namely, the frequency bands mentioned above may be attributed to following modes of a cylindrical resonator: TE 211 , TE 311 , TE 312 , TM 310 and TE 411 [36]. However, for the present study, such details are even excessive.…”

Section: Experimental Conditions and Basic Parametersmentioning

confidence: 66%

“…Besides, only modes with the transverse electric field near the axis are pronounced [36]. Therefore, in the present communication we consider one of such modes with the transverse electric field…”

Section: Equation For Wave Amplitudementioning

confidence: 99%

See 1 more Smart Citation

Interpretation of quasi-periodic frequency sweeping in electron cyclotron emission of nonequilibrium mirror-confined plasma sustained by high-power microwaves

Shalashov¹,

Gospodchikov²,

Viktorov³

2019

Plasma Phys. Control. Fusion

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In [Viktorov M E et al. 2016 Eur. Phys. Lett. 116 55001] we reported on chirping frequency patterns that have been observed in the electron cyclotron emission from strongly nonequilibrium plasma confined in a table-top mirror magnetic trap. These patterns were interpreted qualitatively as the first experimental evidence for so-called "holes and clumps" mechanism acting at such high frequencies (1-10 GHz). In the present paper, we prove this statement on a more rigorous basis, considering the formation of nonlinear phase space structures in proximity of the wave-particle resonances within the framework of the Berk-Breizman theory adopted for a kinetically unstable mirror-confined plasma.

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“…They include microwave-sensitive low barrier Schottky diodes, 7,12,[17][18][19] spectrum analyzers, 20 and high-bandwidth oscilloscopes. [21][22][23][24] The schematics of each detection setup is presented in Fig. 2.…”

Section: Articlementioning

confidence: 99%