Steady nonlinear electrostatic plasma wave in a weak transverse magnetic field

2007 ◽  
Vol 73 (2) ◽  
pp. 179-188 ◽  
Author(s):  
V.L. KRASOVSKY
Keyword(s):  
Magnetic Field ◽  
Distribution Function ◽  
Plasma Wave ◽  
Electron Distribution Function ◽  
Density Perturbation ◽  
Transverse Magnetic ◽  
Physical Structure ◽  
Finite Amplitude ◽  
Resonant Region ◽  
Electrostatic Plasma Wave

Abstract.The structure of a stationary electrostatic plasma wave propagating at a right angle to a weak magnetic field is studied. It is shown that the periodic finite amplitude wave is close in its physical structure to Bernstein–Greene–Kruskal wave of a perfectly definite type. The distinguishing feature of such a nonlinear wave is the absence of the resonant particles trapped by the wave. The electron distribution function, density perturbation and the shape of the wave electrostatic potential are found. The nonlinear dispersion relation is derived to determine the frequency shift due to the perturbation of the distribution function in the resonant region.

Nonlinear behaviour of a finite amplitude electron plasma wave, III. The sideband instability

1978 ◽  
Vol 360 (1701) ◽  
pp. 229-242 ◽  
Keyword(s):  
Distribution Function ◽  
Plasma Wave ◽  
Electron Distribution ◽  
Wave Amplitude ◽  
Electron Distribution Function ◽  
Electron Plasma ◽  
Finite Amplitude ◽  
Nonlinear Behaviour ◽  
Experimental Conditions ◽  
Electron Plasma Wave

Computations of the evolution of the electron distribution function in a plasma subsequent to the excitation of a constant finite amplitude electron plasma wave show that the system is stable for plasma parameters for which under experimental conditions the sideband instability is found to be excited. When the time (or space) variation of wave amplitude is included a group of particles initially trapped is detrapped and then behaves like an electron beam passing through the plasma. The experimental dispersion of test waves in a low density plasma is compared with theoretical predictions for parameters given by the detrapping model. Further, measurements of the electron distribution function in the presence of a finite amplitude wave as a function of position, wave amplitude, and wave frequency, show features which are consistent only with a detrapped beam.

Generalized Electron Cyclotron Resonance in Weakly Ionized Time-Varying Magnetoplasmas

1969 ◽  
Vol 24 (4) ◽  
pp. 555-559 ◽  
Author(s):  
Wolfgang Stiller ◽  
Günter Vojta
Keyword(s):  
Magnetic Field ◽  
Distribution Function ◽  
Cyclotron Resonance ◽  
Electron Distribution ◽  
Electron Cyclotron Resonance ◽  
Electron Distribution Function ◽  
Resonance Phenomenon ◽  
Alternating Electric Field ◽  
Special Cases ◽  
Weakly Ionized

Abstract The electron distribution function is calculated explicitly for a weakly ionized plasma under the action of an alternating electric field E = {0 , 0 , Eoz cos ω t} and a circularly polarized magnetic field BR = Bc{cos ωB t, sin ωB t, 0} rotating perpendicular to the a.c. field. Furthermore, a constant magnetic field B0 = {0, 0, B0} is taken into account. The isotropic part f0 of the electron distribution function which contains, in special cases, well-known standard distributions (distributions of Druyvensteyn, Davydov, Margenau, Allis, Fain, Gurevic) shows a resonance behaviour if the frequencies ω, ωc = (q/m) Bc , ω0 = (q/m) B0 , and ωB satisfy the relation ω= This can be understood as a generalized cyclotron resonance phenomenon.

A note on the semi-Lagrangian formulation of the Vlasov equation

1970 ◽  
Vol 4 (1) ◽  
pp. 143-144
Author(s):  
G. J. Lewak
Keyword(s):  
Magnetic Field ◽  
Distribution Function ◽  
Electric Field ◽  
Vlasov Equation ◽  
Electron Distribution ◽  
Electron Distribution Function ◽  
Lagrangian Formulation ◽  
Number Density ◽  
Density Of Electrons ◽  
Image Position

In a previous paper [Lewak (1969), see also Pflrsch (1966) for related treatment], it was shown that the Vlasov equation in the Semi-Lagrangian (S.L.) formulation, may be written in a form resembling the fluid equations.plus Maxwell's equations with the source terms given bywhere n is the determinant of the tensor Tij = ∂gi/∂ζj, and N is the constant mean number density of electrons. The averaging notation < > here is defined bywhere f(σ) is the electron distribution function to be specified. The equations assume for simplicity a uniform fixed ion background, although this is not a necessary restriction and equations (1) and (2) need only an obvious modification to account for ions. The force fields in (1) are related to the electric field E and magnetic field B in the plasma by .

scholarly journals Effect of an axial magnetic field and ion space charge on laser beat wave acceleration and surfatron acceleration of electrons

2009 ◽  
Vol 27 (3) ◽  
pp. 459-464 ◽  
Author(s):  
R. Prasad ◽  
R. Singh ◽  
V.K. Tripathi
Keyword(s):  
Magnetic Field ◽  
Space Charge ◽  
Plasma Wave ◽  
Cyclotron Resonance ◽  
Ponderomotive Force ◽  
Axial Magnetic Field ◽  
Resonance Effect ◽  
Transverse Magnetic ◽  
Interaction Length ◽  
Oscillatory Velocity

AbstractThe presence of an axial magnetic field in a laser beat wave accelerator enhances the oscillatory velocity of electrons due to cyclotron resonance effect leading to higher amplitude of the ponderomotive force driven plasma wave, and higher energy of accelerating electrons. The axial magnetic field inhibits the transverse escape of electrons and thus causes a growth of the interaction length. The surfatron acceleration of electrons also shows a similar enhancement. A surfatron transverse magnetic field deflects the electrons parallel to the phase fronts of the accelerating wave keeping them in phase with it. However, the electron continues to move away radially.

scholarly journals Quasi-linear dynamics of Weibel instability

2011 ◽  
Vol 29 (11) ◽  
pp. 1997-2001 ◽  
Author(s):  
O. A. Pokhotelov ◽  
O. A. Amariutei
Keyword(s):  
Distribution Function ◽  
Electron Distribution ◽  
Wave Amplitude ◽  
Electron Distribution Function ◽  
Resonant Interaction ◽  
Nonlinear Saturation ◽  
Linear Dynamics ◽  
Electrostatic Waves ◽  
Substantial Modification ◽  
Resonant Region

Abstract. The quasi-linear dynamics of resonant Weibel mode is discussed. It is found that nonlinear saturation of Weibel mode is accompanied by substantial modification of the distribution function in resonant region. With the growth of the wave amplitude the parabolic bell-like form of the electron distribution function in this region converts into flatter shape, such as parabola of the fourth order. This results in significant weakening of the resonant interaction of the wave with particles. The latter becomes weaker and then becomes adiabatic interaction with the bulk of the plasma. This is similar to the case of Bernstein-Greene-Kruskal (Bernstein et al., 1957) electrostatic waves. The mathematical similarity of the Weibel and magnetic mirror instabilities is discussed.

scholarly journals Search for oblique Whistler waves using solar orbiter data

2021 ◽  
Author(s):  
Lucas Colomban ◽  
Matthieu Kretzschmar ◽  
Volodya Krasnoselskikh ◽  
Laura Bercic ◽  
Chris Owen ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Distribution Function ◽  
Electron Distribution ◽  
Electron Distribution Function ◽  
Minimum Variance ◽  
Frequency Range ◽  
Whistler Waves ◽  
Magnetometer Data ◽  
Halo Population ◽  
The Waves

&lt;p&gt;Whistler waves are thought to play an important role on the evolution of the electron distribution function as a function of distance. In particular, oblique whistler waves may diffuse the Strahl electrons &amp;#160;into the halo population. &amp;#160;Using AC magnetic field from the RPW/SCM (search coil magnetometer) of Solar Orbiter, we search for the presence of oblique Whistler waves in the frequency range between 3 Hz and 128 Hz . &amp;#160;We perform a minimum variance analysis of the SCM data in combination with the MAG (magnetometer) data to determine the inclination of the waves with respect to the ambiant magnetic field. As the emphasis is placed on the search for oblique whistler, we also analyze the RPW electric field data and the evolution of the electron distribution function during these Whistler events.&lt;/p&gt;

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