Response to “Comment on ‘Undamped electrostatic plasma waves’” [Phys. Plasmas 20, 034701 (2013)]

Valentini, F.; Perrone, D.; Califano, Francesco; Пегораро, Ф.; Veltri, P.; Morrison, Philip; O’Neil, T. M.

doi:10.1063/1.4794728

Cited by 13 publications

(7 citation statements)

References 10 publications

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“…In their new, Maxwellian orientated simulation, 25 presented and updated in their response to this comment, the authors essentially confirm our above picture, as one can see without surprise.…”

supporting

confidence: 75%

Comment on “Undamped electrostatic plasma waves” [Phys. Plasmas 19, 092103 (2012)]

Schamel

2013

Physics of Plasmas

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The relevance of linear “corner modes” for the description of coherent electrostatic structures, as proposed by Valentini et al. [Phys. Plasmas 19, 092103 (2012)], is questioned. Coherency in their on-dispersion simulation is instead found to be caused by particle trapping in agreement with Schamel's nonlinear wave model [Phys. Plasmas 19, 020501 (2012)]. The revealed small amplitude structures are hence of cnoidal electron hole type exhibiting vortices in phase space. They are ruled by trapping nonlinearity rather than by linearity or quasi-linear effects, as commonly assumed. Arguments are presented, which give preference to these cnoidal hole modes over Bernstein-Greene-Kruskal modes. To fully account for a realistic theoretical scenario, however, at least four ingredients are mandatory. Several corrections of the conventional body of thought about the proper kinetic wave description are proposed. They may prove useful for the general acceptance of this “new” nonlinear wave concept concerning structure formation, updating several prevailing concepts such as the general validity of a linear wave Ansatz for small amplitudes, as assumed in their paper. It is conjectured that this nonlinear trapping model can be generalized to the vortex structures of similar type found in the more general setting of driven turbulence of magnetized plasmas. They appear as eddies in both, the phase and the position spaces, embedded intermittently on the Debye length scale.

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supporting

confidence: 75%

Comment on “Undamped electrostatic plasma waves” [Phys. Plasmas 19, 092103 (2012)]

Schamel

2013

Physics of Plasmas

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“…which has been successfully employed in the collisionless case in many research works, as, for example, in Refs. [19][20][21][22]). Since periodic boundary conditions have been imposed in the spatial numerical domain, we solve Poisson equation through a standard FFT routine.…”

Section: Mathematical Model and Numerical Approachmentioning

confidence: 99%

“…[19][20][21][22]). Since periodic boundary conditions have been imposed in the spatial numerical domain, we solve Poisson equation through a standard FFT routine.…”

Section: Mathematical Model and Numerical Approachmentioning

confidence: 99%

Eulerian simulations of collisional effects on electrostatic plasma waves

et al. 2013

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The problem of collisions in a plasma is a wide subject with a huge historical literature. In fact, the description of realistic plasmas is a tough problem to attach, both from the theoretical and the numerical point of view, and which requires in general to approximate the original collisional Landau integral by simplified differential operators in reduced dimensionality. In this paper, a Eulerian timesplitting algorithm for the study of the propagation of electrostatic waves in collisional plasmas is presented. Collisions are modeled through one-dimensional operators of the Fokker-Planck type, both in linear and nonlinear form. The accuracy of the numerical code is discussed by comparing the numerical results to the analytical predictions obtained in some limit cases when trying to evaluate the effects of collisions in the phenomenon of wave plasma echo and collisional dissipation of Bernstein-Greene-Kruskal waves. Particular attention is devoted to the study of the nonlinear Dougherty collisional operator, recently used to describe the collisional dissipation of electron plasma waves in a pure electron plasma column [M. W. Anderson and T. M. ONeil, Phys. Plasmas 14, 112110 (2007)]. A receipt to prevent the filamentation problem in Eulerian algorithms is provided by exploiting the property of velocity diffusion operators to smooth out small velocity scales.

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“…Although the local instability criterion is often useful and insightful, the whole profile of the distribution function is required in general to determine the full linear stability as embodied in various integral stability criteria, e.g., the Penrose criterion 32 . The linear analysis on the modified distribution function has explained new types of waves such as nonlinear electron-acoustic waves (EAWs) [33][34][35] . EAWs are a class of nonlinear waves with phase velocity close to the electron thermal velocity.…”

Section: Figmentioning

confidence: 99%

Backward waves in the nonlinear regime of the Buneman instability

et al. 2021

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Observation of low-and high-frequency backward waves in the nonlinear regime of the Buneman instability is reported. Intense low-frequency backward waves propagating in the direction opposite to the electron drift (with respect to the ion population) of ions and electrons are found. The excitation of these waves is explained based on the linear theory for the stability of the electron velocity distribution function that is modified by nonlinear effects. In the nonlinear regime, the electron distribution exhibits a wide plateau formed by electron hole trapping and extends into the negative velocity region. It is shown that within the linear approach, the backward waves correspond to the weakly unstable or marginally stable modes generated by the large population of particles with negative velocities.

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Response to “Comment on ‘Undamped electrostatic plasma waves’” [Phys. Plasmas 20, 034701 (2013)]

Cited by 13 publications

References 10 publications

Comment on “Undamped electrostatic plasma waves” [Phys. Plasmas 19, 092103 (2012)]

Comment on “Undamped electrostatic plasma waves” [Phys. Plasmas 19, 092103 (2012)]

Eulerian simulations of collisional effects on electrostatic plasma waves

Backward waves in the nonlinear regime of the Buneman instability

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