Nonlinear Effects in a Plasma

Цытович, В. Н.

doi:10.1070/pu1967v009n06abeh003226

Cited by 203 publications

(156 citation statements)

References 2 publications

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“…This method is similar to that described by Tsytovich. 16 The field perturbation δE and velocity perturbation δv along with the density perturbation δn represent the electrostatic component of the lower-band whistler mode, while the perpendicular components of the primed perturbations represent its electromagnetic component.…”

Section: Theoretical Analysis On Lower Band Cascadementioning

confidence: 99%

Theoretical analysis on lower band cascade as a mechanism for multiband chorus in the Earth’s magnetosphere

Gao

Wang

et al. 2018

AIP Advances

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Whistler-mode waves play a crucial role in controlling electron dynamics in the Earth’s Van Allen radiation belt, which is increasingly important for spacecraft safety. Using THEMIS waveform data, Gao et al. [X. L. Gao, Q. Lu, J. Bortnik, W. Li, L. Chen, and S. Wang, Geophys. Res. Lett., 43, 2343-2350, 2016] have reported two multiband chorus events, wherein upper-band chorus appears at harmonics of lower-band chorus. They proposed that upper-band harmonic waves are excited through the nonlinear coupling between the electromagnetic and electrostatic components of lower-band chorus, a second-order effect called “lower band cascade”. However, the theoretical explanation of lower band cascade was not thoroughly explained in the earlier work. In this paper, based on a cold plasma assumption, we have obtained the explicit nonlinear driven force of lower band cascade through a full nonlinear theoretical analysis, which includes both the ponderomotive force and coupling between electrostatic and electromagnetic components of the pump whistler wave. Moreover, we discover the existence of an efficient energy-transfer (E-t) channel from lower-band to upper-band whistler-mode waves during lower band cascade for the first time, which is also confirmed by PIC simulations. For lower-band whistler-mode waves with a small wave normal angle (WNA), the E-t channel is detected when the driven upper-band wave nearly satisfies the linear dispersion relation of whistler mode. While, for lower-band waves with a large WNA, the E-t channel is found when the lower-band wave is close to its resonant frequency, and the driven upper-band wave becomes quasi-electrostatic. Through this efficient channel, the harmonic upper band of whistler waves is generated through energy cascade from the lower band, and the two-band spectral structure of whistler waves is then formed. Both two types of banded whistler-mode spectrum have also been successfully reproduced by PIC simulations.

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Section: Theoretical Analysis On Lower Band Cascadementioning

confidence: 99%

Theoretical analysis on lower band cascade as a mechanism for multiband chorus in the Earth’s magnetosphere

Gao

Wang

et al. 2018

AIP Advances

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“…This process has been considered by several groups in the different cases: vacuum [12], electron plasma [13][14][15][16][17][18], magnetic fields of different configurations [19][20][21][22][23] and magnetized plasma [24][25][26]. The main point of the work we have done [26] was to extend the previous analysis by including the modified photon dispersion relation.…”

Section: Introductionmentioning

confidence: 99%

“…An influence of an external magnetic field on properties of leptons and their interactions becomes especially important when the field strength reaches the critical Schwinger value of B e = m 2 e /e = 4.41 × 10 13 Gauss, where m e is the electron mass and e is the elementary charge. Such fields are not accessible in accelerator experiments but can exist in strongly magnetized neutron stars called "magnetars" [1][2][3].…”

Section: Introductionmentioning

confidence: 99%

Radiative decay of keV-mass sterile neutrino in magnetized electron plasma

2017

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Abstract. The radiative decay of sterile neutrinos with typical masses of 10 keV is investigated in the presence of an external magnetic field and degenerate electron plasma. Full account is taken of the modified photon dispersion relation relative to vacuum. The limiting cases of relativistic and nonrelativistic plasma are analyzed. The decay rate calculated in a strongly magnetized plasma, as a function of the electron number density, is compared with the unmagnetized plasma limit. It is found that the presence of the strong magnetic field in the electron plasma suppresses the catalyzing influence of the plasma by itself on the sterile-neutrino decay rate.

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“…The first theory of plasma emission was put forth by Ginzburg & Zhelezniakov (1958) and many modifications and improvements have been made over the past six decades (Tsytovich 1967;Kaplan & Tsytovich 1968;Zheleznyakov & Zaitsev 1970;Melrose 1982;Goldman & Dubois 1982;Goldman 1983;Cairns 1987;Robinson & Cairns 1998;Mel'Nik et al 1999;Kontar 2001;Ledenev et al 2004;Li et al 2005Li et al , 2006aLi et al ,b, 2008aLi & Cairns 2013;. Although the essential theoretical framework based upon EM weak turbulence theory, which describes the entire process starting from the beam-generated Langmuir turbulence to the radiation generation, was available, complete numerical solution of the entire set of EM weak turbulence equations have not been done until quite recently, when Ziebell et al (2014aZiebell et al ( ,b,c, 2015 numerically solved the complete equations of EM weak turbulence theory for the first time.…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional time evolution of beam-plasma instability in the presence of binary collisions

Tigik

Ziebell

Yoon

et al. 2016

A&A

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Energetic electrons produced during solar flares are known to be responsible for generating solar type III radio bursts. The radio emission is a byproduct of Langmuir wave generation via beam-plasma interaction and nonlinear wave-wave and wave-particle interaction processes. In addition to type III radio bursts, electrons traveling downwards toward the chromosphere lead to the hard X-ray emission via electron-ion collisions. Recently, the role of Langmuir waves on the X-ray-producing electrons has been identified as important, because Langmuir waves may alter the electron distribution, thereby affecting the X-ray profile. Both Coulomb collisions and wave-particle interactions lead electrons to scattering and energy exchange that necessitates considering the two-dimensional (2D) problem in velocity space. The present paper investigates the influence of binary collisions on the beam-plasma instability development in 2D in order to elucidate the nonlinear dynamics of Langmuir waves and binary collisions. The significance of the present findings in the context of solar physics is discussed.

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Nonlinear Effects in a Plasma

Cited by 203 publications

References 2 publications

Theoretical analysis on lower band cascade as a mechanism for multiband chorus in the Earth’s magnetosphere

Theoretical analysis on lower band cascade as a mechanism for multiband chorus in the Earth’s magnetosphere

Radiative decay of keV-mass sterile neutrino in magnetized electron plasma

Two-dimensional time evolution of beam-plasma instability in the presence of binary collisions

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