The excitation of a monochromatic wave during steady injection of an electron beam into a plasma

Shapiro, V. D.; Shevchenko, V.I.

doi:10.1088/0029-5515/12/1/018

Cited by 26 publications

(5 citation statements)

References 3 publications

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“…Cold beam particles at the cathode are found to evolve into a smooth, monotonically decreasing velocity distribution within a short distance from the cathode plate.Such a thermalization of the beam and ambient particles via coalescence to a smooth, monotonically decreasing distribution is clearly seen in the present simulation in which beam and ambient electrons undergo thermalization caused by a beam-plasma instability, as shown inFigs. 6,7, 8,and 9.…”

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Propagation of a nonrelativistic electron beam in a plasma in a magnetic field

Okuda¹,

Horton²,

Ono³

et al. 1986

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Propagation of a nonrelativistic electron beam in a plasma in a strong magnetic field has been studied using electrostatic one-dimensional particle simulation models. Electron beams of finite pulse length and of continuous injection are followed in time to study the effects of beam-plasma interact ion on the beam propagation. For the case of pulsed beam propagation, it is found that the beam distribution rapidly spreads in velocity space generating a plateaulike distribution with a high energy tail extending beyond the initial beam velocity. This rapid diffusion takes place within several amplification lengths of the beam plasma instability given by (f^b' V o where ""ni %> and V Q are the target plasma, beam plasma frequencies, and the beam drift speed, respectively. This plateaulike distribution, however, becomes unstable as the high energy tail electrons free-stream, generating a secondary beam. A

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Propagation of a nonrelativistic electron beam in a plasma in a magnetic field

Okuda¹,

Horton²,

Ono³

et al. 1986

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“…where k is the wave number of the initial wave, Vph is the phase velocity of initial wave, V 0 is the particles velocity, the particles are not trapped into the potential well (a detailed presentation of this topic can be found, for instance, in [9][10][11] …”

Section: Initial Equationsmentioning

confidence: 99%

Decay instability of ion-acoustic wave train (or soliton) and formation of the shock profile

Demchenko

Hussein

1973

Z. Physik

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The stability of a periodic ion-acoustic wave of a finite amplitude propagating in a nonisothermal plasma is investigated. It is demonstrated that such a wave is unstable with respect to the splitting into a large number of satellite waves with effective wave numbers different from the wave number of the initial wave. The phase velocity of the satellite waves differs therefore from that of the initial pulse. Hence, the satellite waves with bigger phase velocity will "overtake" the initial pulse and turbulize the upstream plasma. The scattering of ions and electrons by the fluctuations of electric field of turbulent oscillations will cause the energy dissipation of the initial ionacoustic wave translational motion and produce a collisionless shock wave.

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“…The trapped particles, which perform oscillations in relation to the zero phase of the field, do not, on an average, exchange their energy with the wave during one period of such oscillations, and the instability of the beam in the plasma is stabilized. In this case the coefficient of conversion of the power of the electron beam into that of the wave K ^^ v o /n o v g ) 1 / 3 « 1 (v 0 is beam velocity, v g group velocity of the plasma oscillations, and n : , n 0 are beam and plasma densities, respectively) [3],…”

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“…v o ' J The system of equations for amplitude and phase of the wave has been derived in Ref. [1][2][3]. For the case under consideration -where the plasma is inhomogeneous and synchronism between beam particles and the wave is maintained -this system of equations takes the following form:…”

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