QUASI-LINEAR THEORY OF TRANSVERSE PLASMA INSTABILITIES WITH APPLICATIONS TO HYDROMAGNETIC EMISSIONS FROM THE MAGNETOSPHERE

1966 ◽  
Vol 44 (4) ◽  
pp. 815-835 ◽  
Author(s):  
Tomiya Watanabe
Keyword(s):  
Growth Rate ◽  
Magnetoactive Plasma ◽  
Equatorial Region ◽  
Time Change ◽  
Wave Frequency ◽  
Multiple Time ◽  
Ion Cyclotron ◽  
Transverse Electromagnetic ◽  
Effective Wave ◽  
Cyclotron Mode

Transverse instabilities in two magnetoactive plasma streams are investigated theoretically. The approach taken is to investigate how a small signal transverse electromagnetic wave, which, in a zero temperature background plasma, can be propagated as a circularly polarized sinusoidal wave (with the two possible modes, electron and ion cyclotron) along the external magnetic field, behaves under perturbations arising from the existence of the streaming plasma and the nonlinear terms in the Boltzmann equations describing the plasma particle distribution. The perturbation method originally given by Bogoliuboff et al. and since developed into the so-called multiple time-scale method by Frieman et al. (1963) is employed to solve the problem. The cyclotron instability is rediscovered as the effect of the lowest order (viz., the most effective) among all possible instability processes. The wave amplitude is found to grow gradually with time in the vicinity of the cyclotron resonance frequency because of the instability. The effective wave frequency is also found to change gradually in time. The growth rate of the signal intensity and the rate of the time change in the frequency are calculated for a case of geophysical interest, viz. the instability in the ion cyclotron mode of waves by a proton stream proposed as the generation mechanism for hydromagnetic (hereafter hm) emissions. The location of the occurrence of the instabilities is taken to be the equatorial region in the outer magnetosphere. A model is considered where the instabilities occur in the region with L value equal to about 5.6. The growth rate of the signal strength calculated with reasonable values of the geophysical parameters involved is in agreement with the observations. Calculations of the rate of the time change in the wave frequency show that the frequency is seen to increase with time, and the rate, which is of the order of 0.1 c.p.s./minute, is comparable to that obtained from observations, showing that the process proposed for hm emissions may be correct.

Local stability of anisotropy-driven modes in diffuse high-beta plasmas

1980 ◽  
Vol 23 (3) ◽  
pp. 501-513
Author(s):  
J. Goedert ◽  
J. P. Mondt
Keyword(s):  
Growth Rate ◽  
Local Stability ◽  
Larmor Radius ◽  
Temperature Anisotropy ◽  
Ion Cyclotron ◽  
Mirror Mode ◽  
Cyclotron Mode ◽  
High Beta

Finite ion Larmor radius effects (ε ≡ γLi/LΙ< 1 but finite) are found to cause a branching of the Alfvén ion cyclotron mode, whereas the growth rate of the mirror mode is found to be of the order of for ωci for ε≥ 0.1 and rather moderate values of plasma beta and temperature anisotropy. For this regime its growth rate considerably exceeds that of the Alfvén ion cyclotron mode.

Parametric instabifity of transverse and Langmuir waves in a plasma

1975 ◽  
Vol 13 (2) ◽  
pp. 317-326 ◽  
Author(s):  
Kai Fong Lee
Keyword(s):  
Growth Rate ◽  
Electromagnetic Field ◽  
Kinetic Model ◽  
Multiple Time ◽  
Multiple Time Scale ◽  
Threshold Intensity ◽  
Langmuir Waves ◽  
Scale Perturbation ◽  
The Subject ◽  
Parametric Instabilities

The parametric excitation of transverse and Langmuir waves by an externally-driven electromagnetic field of frequency (ω0 > 2ωp) in a warm and collisional plasma is studied, using the fluid equations. By an application of the multiple- time-scale perturbation method, the threshold intensity and the growth rate above threshold are obtained. The results are compared with those of Goldman (1969) and Prasad (1968), both of whom worked with a kinetic model.The theory of parametric instabilities in plasmas has been the subject of numerous investigations in recent years. Broadly speaking, the instabilities can be grouped into two categories: those for which the excited waves are purely electrostatic (see e.g. DuBois & Goldman 1965, 1967; Silin 1965; Lee & Su 1966; Jackson 1967; Nishikawa 1968; Kaw & Dawson 1969; Tzoar 1969; Sanmartin 1970; McBride 1970; Perkins & Flick 1971; Fejer & Leer 1972a, b; Bezzerides & Weinstock 1972; DuBois & Goldman 1972), and those for which one of the excited waves is electromagnetic (see e.g. Goldman & Dubois 1965; Montgomery & Alexeff 1966; Chen & Lewak 1970; Bodner & Eddleman 1972; Fejer & Leer 1972b; Lee & Kaw 1972; Forslund et al. 1972).

Ion beam excitation of ion-cyclotron waves and ion heating in plasmas with drifting ions

1978 ◽  
Vol 19 (2) ◽  
pp. 237-252 ◽  
Author(s):  
J. P. Hauck ◽  
H. Böhmer ◽  
N. Rynn ◽  
Gregory Benford
Keyword(s):  
Magnetic Field ◽  
Ion Beam ◽  
Ion Beams ◽  
Ion Heating ◽  
Ion Cyclotron Waves ◽  
Diffusion Effects ◽  
Ion Cyclotron ◽  
Cyclotron Mode ◽  
The Magnetic Field ◽  
Beam Excitation

Ion-cyclotron waves are excited by cesium and potassium ion beams in cesium and potassium Q-machine plasmas. The ion beams are injected along the magnetic field with care to avoid beam transverse velocities. The observed ion-cyclotron mode frequencies are below those driven by electron currents. These resonant instabilities are convective in character with small spatial growth rates ki/kr ≃ 0.05. Plasma ion heating is observed and is consistent with a model in which mode amplitudes are saturated by diffusion effects.

Excitation of the Alfvén Ion Cyclotron Mode Solely by the Ion Pressure Distribution

1998 ◽  
Vol 37 (Part 1, No. 1) ◽  
pp. 342-343
Author(s):  
Motoyuki Nakamura ◽  
Makoto Ichimura ◽  
Satoru Tanaka ◽  
Seikou Kanazawa ◽  
Eiji Ishikawa ◽  
...  
Keyword(s):  
Pressure Distribution ◽  
Ion Cyclotron ◽  
Cyclotron Mode

Low-frequency waves in a high-beta collisionless plasma: polarization, compressibility and helicity

1986 ◽  
Vol 35 (3) ◽  
pp. 431-447 ◽  
Author(s):  
S. Peter Gary
Keyword(s):  
Numerical Solutions ◽  
Collisionless Plasma ◽  
Low Frequency ◽  
Order Unity ◽  
Left Hand ◽  
Long Wavelength ◽  
Oblique Propagation ◽  
Ion Cyclotron ◽  
Cyclotron Mode ◽  
High Beta

This paper considers the linear theory of waves near and below the ion cyclotron frequency in an isothermal electron-ion Vlasov plasma which is isotropic, homogeneous and magnetized. Numerical solutions of the full dispersion equation for the magnetosonic/whistler and Alfvén/ion cyclotron modes at βi = 1·0 are presented, and the polarizations, compressibilities, helicities, ion Alfvén ratios and ion cross-helicities are exhibited and compared. At sufficiently large βi and θ, the angle of propagation with respect to the magnetic field, the real part of the polarization of the Alfvén/ion cyclotron wave changes sign, so that, for such parameters, this mode is no longer left-hand polarized. The Alfvén/ion cyclotron mode becomes more compressive as the wavenumber ulereases, whereas the magnetosonic/whistler becomes more compressive with increasing θ, At oblique propagation, the helicity of both modes approaches zero in the long-wavelength limit; in contrast, the ion cross-helicity is of order unity for the Alfvén/ion cyclotron wave and decreases as θ increases for the magnetosonic/whistler mode.

scholarly journals The second harmonic generation in a collisional magnetoactive plasma

2009 ◽  
Vol 7 (1) ◽  
pp. 1-6 ◽  
Author(s):  
B.M. Jovanovic
Keyword(s):  
Second Harmonic Generation ◽  
Nonlinear Equations ◽  
Harmonic Generation ◽  
Second Harmonic ◽  
Magnetoactive Plasma ◽  
Frequency Doubling ◽  
Plasma Boundary ◽  
Magnetized Plasma ◽  
Wave Frequency ◽  
System Of Nonlinear Equations

Characteristics for the generation of the second harmonic in homogeneous, collisional and magnetized plasma are investigated theoretically by solving the system of nonlinear equations for the fundamental and second harmonic extraordinary waves. The dependence of the efficiency of the wave frequency doubling on the distance from the plasma boundary and on the collisional frequency has been calculated.

Quasimode decay of a lower-hybrid wave in a two-electron-temperature plasma

1996 ◽  
Vol 56 (2) ◽  
pp. 237-249
Author(s):  
A. Sudarshan ◽  
S. K. Sharma
Keyword(s):  
Growth Rate ◽  
Electron Temperature ◽  
Decay Channel ◽  
Lower Hybrid ◽  
Hybrid Wave ◽  
Lower Hybrid Wave ◽  
Temperature Plasma ◽  
Parametric Decay ◽  
Cylindrical Plasma ◽  
Ion Cyclotron

We study the quasimode decay of a lower-hybrid wave and a damped ion cyclotron wave in a plasma having two kinds of electrons. This decay channel is also investigated for a cylindrical plasma. The behaviour of the threshold and growth rate with variations in Tn/Tc and non/noc are studied, and a comparison is made with previous results. Our results show that the growth rate and the threshold for the onset of parametric decay are influenced by the presence of the second electron species.

Electromagnetic ion-cyclotron instability in low beta plasma with intrinsic Alfven waves

2021 ◽  
Author(s):  
GuanShan Pu ◽  
ChuanBing Wang ◽  
PeiJin Zhang ◽  
Lin Ye
Keyword(s):  
Growth Rate ◽  
Low Frequency ◽  
Alfven Waves ◽  
Qualitative Description ◽  
Alfvén Waves ◽  
Temperature Anisotropy ◽  
Dimensional Parameter ◽  
Positive Effects ◽  
Ion Cyclotron ◽  
Emic Waves

&lt;p&gt;Intrinsic Alfven waves (IAWs) exist pervasively in the solar-terrestrial plasma, which can preferentially heat newborn ions in the direction perpendicular to the ambient magnetic field via non-resonant interactions when the plasma beta is low. The anisotropized newborn ion populations can excite electromagnetic ion-cyclotron (EMIC) instability. Parametric calculations indicate that the lower the plasma beta is, the higher the growth rate, while the growth rate increases with the number density of newborn ions and the intensity of IAWs. The marginal stable surface in three-dimensional parameter space is also calculated, which provides a qualitative description of parametric conditions for instability. We propose that the coupled effects of non-resonant heating by IAWs and EMIC instability could be an effective mechanism for transferring the energy from low-frequency IAWs to EMIC waves with a frequency below the gyrofrequency of the corresponding ion species. Furthermore, the temperature anisotropy of background ions with the same sense has positive effects on the growth of EMIC waves excited by newborn ions.&lt;/p&gt;

On the instability of synchrotron radiation

1968 ◽  
Vol 46 (9) ◽  
pp. 1073-1081 ◽  
Author(s):  
P. C. W. Fung
Keyword(s):  
Growth Rate ◽  
Synchrotron Radiation ◽  
Magnetoactive Plasma ◽  
Kinetic Approach ◽  
Relativistic Electrons ◽  
Wave Normal ◽  
Quantum Treatment ◽  
Normal Angle

In a system of isotropic relativistic electrons which is embedded in a cold ambient magnetoactive plasma, the growth rate of synchrotron radiation at wave normal angle θ = 90° is derived by means of the classical kinetic approach. It is shown that the result is identical with that obtained from the quantum treatment. Two errors occurring in the literature of synchrotron radiation are pointed out. The growth rate is computed for the case of monoenergetic electrons as an example.

Sign in / Sign up

Export Citation Format

Share Document