Electron bunches in nonlinear collective beam-plasma interaction

Коваленко, В. П.

doi:10.1070/pu1983v026n02abeh004321

Cited by 20 publications

(6 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As physical features similar to those occurring for Re κ 0 (see (2.8) and Sec. 2.3) have been observed in numerical simulations for the case of beam-whistler interaction including collisions (Ivanov et al 1973;Carr et al 1974;Kovalenko 1983), it is interesting to compare these results with those obtained with our nonlinear model, where dissipation is due to wave emission from the interaction region and not to electron-ion and electron-neutral collisions. Let us recall the equation of evolution of the electrostatic-wave amplitude in a collisional plasma:…”

Section: Beam Interaction With a Single Wavesupporting

confidence: 70%

“…The nonlinear interaction of a monoenergetic electron beam with a wave in the presence of strong dissipation differs considerably from the nondissipative case. Numerical simulations (Ivanov et al 1973;Carr et al 1974;Kovalenko 1983) have shown that the dissipative effects prevent the periodic exchange of electron beam and wave energies that usually occurs after the first trapping of electrons in the wave potential. Similar effects were investigated recently in theoretical studies of the nonlinear interaction of a thin electron beam with a quasimonochromatic whistler wave (Volokitin et al 1997;Krafft and Volokitin 1999).…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Nonlinear dynamics of electron bunches in the presence of dissipative effects

1999

View full text Add to dashboard Cite

The transition phase between two nonlinear regimes of electron-beam–wave interaction depending on the amplitude and the nature of the effective dissipation is investigated with the help of numerical simulations. Effective dissipation due to wave escaping to infinity out of the beam–wave interaction region as well as to collisions in the background plasma is considered. If the dissipation is strong enough, the evolution of the electron beam proceeds in a general way, independently of the type of dissipation and of the nature of the considered waves: structures of strongly concentrated electron bunches are formed. These bunches are not trapped in the wave, and decelerate continuously owing to friction on waves: in the presence of dissipation, the usual quasiperiodic exchange of energy between the wave and the trapped particles, which prevents the wave from collapsing, does not occur. Considering beam interaction with a finite number of waves (modulated wave packet), it is shown that, if the dissipation is strong enough, the structure of electron bunches is dynamically stable in a range of times exceeding several characteristic times of their formation.

show abstract

Section: Beam Interaction With a Single Wavesupporting

confidence: 70%

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics of electron bunches in the presence of dissipative effects

1999

View full text Add to dashboard Cite

show abstract

“…This effect was also observed during numerical simulations of the beam-wave interaction including collisions. [30][31][32][33] We have analyzed the phase difference between the wave and the Fourier harmonic of the beam current ͑not shown here͒; it does not change significantly with . This illustrates not only that the trapped particles and the wave are in resonance, but also that they are in phase during the deceleration stage.…”

Section: B Discussionmentioning

confidence: 99%

Whistler waves emission by a modulated electron beam: Nonlinear theory

Volokitin

Krafft

1997

Physics of Plasmas

View full text Add to dashboard Cite

The nonlinear theory for the interaction of a thin modulated electron beam with a monochromatic whistler wave is considered. On the basis of wave field structures calculated previously in the linear approach, equations describing the wave amplitude evolution inside and outside the beam are obtained. These equations, together with the equations for particle motion in the drift approximation, form the self-consistent nonlinear model. Double and single pole resonance cases are considered. The full system of equations (taking into account the finite size of the beam) is resolved by a computer code which yields clear physical results. This code avoids the heavy structure and the long computer time inherent in the usual Particle-In-Cell simulation codes.

show abstract

“…These solitary waves are Debye-scale structures with positive electrostatic potentials and exist due to a dearth of the phase space density of electrons trapped by the bipolar parallel electric field (Dupree, 1982;Gurevich, 1968;Krasovsky et al, 1997;Schamel, 1986Schamel, , 2000. Electrostatic solitary waves interpreted in terms of electron phase space holes were observed in laboratory experiments (Fox et al, 2008;Kovalenko, 1983;Lefebvre et al, 2010;Saeki et al, 1979) and widely reported in various regions/transient structures in the near-Earth space including the plasma sheet boundary layer (Matsumoto et al, 1994;, auroral region (Ergun et al, 1998;Franz et al, 2005;Mozer et al, 1997), inner magnetosphere (Malaspina et al, 2014(Malaspina et al, , 2018Mozer et al, 2015;Vasko et al, 2015;Vasko, Agapitov, Mozer, Artemyev, Drake, et al, 2017), reconnection current sheets (Cattell et al, 2002(Cattell et al, , 2005Graham et al, 2016), fast plasma flows (Deng et al, 2010;Ergun et al, 2015;Viberg et al, 2013), magnetic flux ropes (Khotyaintsev et al, 2010;Øieroset et al, 2014), and other regions of the near-Earth space (e.g., Cattell et al, 2003;Malaspina & Hutchinson, 2019;Mangeney et al, 1999;Pickett et al, 2008). In all these regions electron phase space holes substantially contribute to the power spectral density of broadband electrostatic fluctuations reported already aboard early spacecraft missions (Gurnett et al, 1976;Lakhina et al, 2000;Scarf et al, 1974).…”

Section: Introductionmentioning

confidence: 99%

Multisatellite MMS Analysis of Electron Holes in the Earth's Magnetotail: Origin, Properties, Velocity Gap, and Transverse Instability

et al. 2020

View full text Add to dashboard Cite

We present a statistical analysis of more than 2,400 electrostatic solitary waves interpreted as electron holes (EH) measured aboard at least three Magnetospheric Multiscale (MMS) spacecraft in the Earth's magnetotail. The velocities of EHs are estimated using the multispacecraft interferometry. The EH velocities in the plasma rest frame are in the range from just a few km/s, which is much smaller than ion thermal velocity V Ti , up to 20,000 km/s, which is comparable to electron thermal velocity V Te. We argue that fast EHs with velocities larger than about 0.1V Te are produced by bump-on-tail instabilities, while slow EHs with velocities below about 0.05V Te can be produced by warm bistream and, probably, Buneman-type instabilities. We show that typically fast and slow EHs do not coexist, indicating that the instabilities producing EHs of different types operate independently. We have identified a gap in the distribution of EH velocities between V Ti and 2V Ti , which is considered to be the evidence for self-acceleration (Zhou & Hutchinson, 2018) or ion Landau damping of EHs. Parallel spatial scales and amplitudes of EHs are typically between λ D and 10 λ D and between 10 −3 T e and 0.1 T e , respectively. We show that electrostatic potential amplitudes of EHs are below the threshold of the transverse instability and highly likely restricted by the nonlinear saturation criterion of electron streaming instabilities seeding electron hole formation: eΦ 0 ≲m e ϖ 2 d 2 jj , where ϖ ¼ min(γ, 1.5 ω ce), where γ is the increment of instabilities seeding EH formation, while ω ce is electron cyclotron frequency. The implications of the presented results are discussed.

show abstract

Electron bunches in nonlinear collective beam-plasma interaction

Cited by 20 publications

References 3 publications

Nonlinear dynamics of electron bunches in the presence of dissipative effects

Nonlinear dynamics of electron bunches in the presence of dissipative effects

Whistler waves emission by a modulated electron beam: Nonlinear theory

Multisatellite MMS Analysis of Electron Holes in the Earth's Magnetotail: Origin, Properties, Velocity Gap, and Transverse Instability

Contact Info

Product

Resources

About