Electrostatic Mode Excitation in Electron Holes due to Wave Bounce Resonances

Vetoulis, G.; Oppenheim, M. M.

doi:10.1103/physrevlett.86.1235

Cited by 28 publications

(36 citation statements)

References 16 publications

(38 reference statements)

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“…[13][14][15][16] Lastly there are miscellaneous explorations of the behavior of 1D phase-space vortices ͑"holes"͒ and the like. [17][18][19][20][21][22][23] For historical completeness one should also note a particular laboratory experiment done in a Q-machine resulting in the creation of a single KEEN-like cell rather than in a long wave train. 24 There is also a recent publication by Valentini et al 25 which bears directly on the kind of work presented in this publication.…”

Section: Related Previous Workmentioning

confidence: 99%

Persistent subplasma-frequency kinetic electrostatic electron nonlinear waves

Johnston

Tyshetskiy

Ghizzo³

et al. 2009

Physics of Plasmas

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Driving a one-dimensional collisionless Maxwellian ͑Vlasov͒ plasma with a sufficiently strong longitudinal ponderomotive driver for a sufficiently long time results in a self-sustaining nonsinusoidal wave train with well-trapped electrons even for frequencies well below the plasma frequency, i.e., in the plasma wave spectral gap. Typical phase velocities of these waves are somewhat above the electron thermal velocity. This new nonlinear wave is being termed a kinetic electrostatic electron nonlinear ͑KEEN͒ wave. The drive duration must exceed the bounce period B of the trapped electrons subject to the drive, as calculated from the drive force and the linear plasma response to the drive. For a given wavenumber a wide range of KEEN wave frequencies can be readily excited. The basic KEEN structure is essentially kinetic, with the trapped electron density variation being almost completely shielded by the free electrons, leaving just enough net charge to support the wave.

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Section: Related Previous Workmentioning

confidence: 99%

Persistent subplasma-frequency kinetic electrostatic electron nonlinear waves

Johnston

Tyshetskiy

Ghizzo³

et al. 2009

Physics of Plasmas

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“…Their equilibrium is intrinsically kinetic, in that they are accompanied by a stationary hole in the electron distribution function. DOI Among several physical processes accompanying the wave-plasma interaction, particular interest has been devoted to electron and ion holes in phase space [1][2][3][4][5], which are typical nonlinear kinetic structures producing macroscopic measurable effects in space plasmas [6][7][8][9]. The use of kinetic codes makes it possible to investigate at once both the hydrodynamic and the kinetic aspects of the waveplasma interaction [10 -15].…”

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confidence: 99%

Electron Hole Generation and Propagation in an Inhomogeneous Collisionless Plasma

Califano

Lontano²

2005

Phys. Rev. Lett.

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The generation of "trains" of electron holes in phase space due to an external electrostatic disturbance is investigated by using a Vlasov-Ampere code with open boundary conditions. Electron holes are produced mostly during the initial phase of the wave-plasma interaction, with a given drift velocity which is maintained until they exit the integration box, even in the presence of plasma inhomogeneities. They present macroscopic features, a dipolar electrostatic field and an electron density perturbation, which can be exploited for diagnostic purposes. Their equilibrium is intrinsically kinetic, in that they are accompanied by a stationary hole in the electron distribution function.

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“…Krasovsky et al [10] showed theoretically and by computer simulations that the electron holes perform inelastic collisions. Vetoulis and Oppenheim [11] studied the radiation generation due to bounce resonances in electron holes. Guio et al [12,13] investigated numerically the dynamics of phase-space vortices in a collisionless plasma, as well as the generation of phase-space structures by an obstacle in a streaming plasma.…”

Section: Introductionmentioning

confidence: 99%

Formation and dynamics of coherent structures involving phase-space vortices in plasmas

2006

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We present a comprehensive review of recent theoretical and numerical studies of the formation and dynamics of electron and ion holes in a collisionless plasma. The electron hole is characterized by a localized positive potential in which a population of electrons is trapped, and a depletion of the electron number density, while the ion hole is associated with localized negative potential in which a population of ions is trapped and a depletion of both the ion and electron densities occur. We present conditions for the existence of quasi-stationary electron and ion holes in unmagnetized and magnetized electron-ion plasmas, as well as in an unmagnetized pair-ion plasma. An interesting aspect is the dynamic interactions between ion and electron holes and the surrounding plasma. The dynamics is investigated by means of numerical simulations in which analytical solutions of quasistationary electron and ion holes are used as initial conditions. Our Vlasov simulations of two colliding ion holes reveal the acceleration of electrons and a modification of the initially Maxwellian electron distribution function by the ion hole potentials, which work as barriers for the electrons. A secondary effect is the excitation of high-frequency plasma waves by the streams of electrons. On the other hand, we find that electron holes show an interesting dynamics in the presence of mobile ions. Since electron holes are associated with a positive electrostatic potential, they repel positively charged ions. Numerical simulations of electron holes in a plasma with mobile ions exhibit that the electron holes are, in general, attracted by ion density maxima and repelled by ion density minima. Therefore, standing electron holes can be accelerated by the self-created ion cavities. In a pair plasma, both the temperatures and masses of the positively and negatively charged particles are assumed equal, and therefore one must treat both species with a kinetic theory on an equal footing. Accordingly, a phase-space hole in one of the species is associated with reflected particles in the opposite species. Here standing solitary large-amplitude holes are not allowed, but they must have a propagation speed close to the thermal speed of the particles. We discuss extensions of the existing non-relativistic theories for the electron and ion holes in two directions. First, we describe a fully nonlinear kinetic theory for relativistic electron holes (REHs) in an unmagnetized plasma, and show that the REHs have amplitudes and widths much larger than their non-relativistic counterparts. Second, we extend the weakly nonlinear theories for the electron and ion holes to include the effects of the external magnetic field and the plasma inhomogeneity. The presence of the external magnetic field gives rise to the electron and ion hole structures which have differential scale sizes along and across the magnetic field direction. Consideration of the density inhomogeneity in a magnetized plasma with non-isothermal electron distribution function provides the p...

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Electrostatic Mode Excitation in Electron Holes due to Wave Bounce Resonances

Cited by 28 publications

References 16 publications

Persistent subplasma-frequency kinetic electrostatic electron nonlinear waves

Persistent subplasma-frequency kinetic electrostatic electron nonlinear waves

Electron Hole Generation and Propagation in an Inhomogeneous Collisionless Plasma

Formation and dynamics of coherent structures involving phase-space vortices in plasmas

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