Quasilinear theory of cyclotron heating of plasma in toroidal systems by monochromatic radiation

Суворов, Е. В.; Tokman, M. D.

doi:10.1088/0032-1028/25/7/003

Cited by 44 publications

(80 citation statements)

References 2 publications

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“…IV C), all the three equilibria are stable here (Fig. 3), unlike for a one-dimensional (1D) nonlinear oscillator [60], as well as in contrast to the 3D cyclotron resonance in a quasi-static field [56] or any wave with a parallel refraction index n || other than unity [61,62,63,64]. The difference from Refs.…”

Section: B Tristabilitymentioning

confidence: 61%

“…The difference from Refs. [56,61,62,63,64,65] is understood from the angle-action equations for the transverse oscillations, which now are governed by the Hamiltonian Here J = ρ 2 ⊥ /2σ is the action conjugate to the angle ψ, and λ = a 0 / √ σ; the effective time is ξ, dξ = (ωu/γ) dt. Since ρ z = (1 − u 2 + 2σJ)/2u [Eq.…”

Section: B Tristabilitymentioning

confidence: 99%

“…(34) is exact; otherwise, a similar yet approximate equation follows, in agreement with Refs. [61,63] for n || = 1, n ⊥ = 0, and v/c 1.) For given σ and λ(σ), only one equilibrium, namely, a center, is allowed on the phase plane (ψ mod 2π, J) and located at J = [λ/2(1 − σ)] 2 , ψ = 0 (σ > 1) or ψ = π (σ < 1).…”

Section: B Tristabilitymentioning

confidence: 99%

“…Similar effects were previously discussed in Refs. [12,61,63,70,71,72,73,74,75]. With the effective-mass formalism, these effects can now be explained within a unified approach.…”

Section: Longitudinal Massmentioning

confidence: 99%

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Positive and negative effective mass of classical particles in oscillatory and static fields

Dodin

Fisch

2008

Phys. Rev. E

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A classical particle oscillating in an arbitrary high-frequency or static field effectively exhibits a modified rest mass m eff derived from the particle averaged Lagrangian. Relativistic ponderomotive and diamagnetic forces, as well as magnetic drifts, are obtained from the m eff dependence on the guiding center location and velocity. The effective mass is not necessarily positive and can result in backward acceleration when an additional perturbation force is applied. As an example, adiabatic dynamics with m|| > 0 and m|| < 0 is demonstrated for a wave-driven particle along a dc magnetic field, m|| being the effective longitudinal mass derived from m eff . Multiple energy states are realized in this case, yielding up to three branches of m|| for a given magnetic moment and parallel velocity.

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Section: B Tristabilitymentioning

confidence: 61%

Section: B Tristabilitymentioning

confidence: 99%

Section: B Tristabilitymentioning

confidence: 99%

“…Similar effects were previously discussed in Refs. [12,61,63,70,71,72,73,74,75]. With the effective-mass formalism, these effects can now be explained within a unified approach.…”

Section: Longitudinal Massmentioning

confidence: 99%

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Positive and negative effective mass of classical particles in oscillatory and static fields

Dodin

Fisch

2008

Phys. Rev. E

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“…In collisionless limit, such regimes were proposed as a possible mechanism of generation of narrowband chorus emissions in the Earth's magne- 1 Resonant interaction between monochromatic wave and particles in inhomogeneous magnetic field may also result in quasi-linear diffusion in momentum space, that happens because of the stochastic phase of particles during repeated passing trough the resonance region, see e.g. [5]. Such concept of quasi-linear diffusion is widely used related to a high-frequency heating of fusion plasmas [6,7].…”

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confidence: 99%

Observation of quasi-periodic frequency sweeping in electron cyclotron emission of nonequilibrium mirror-confined plasma

Viktorov¹,

Shalashov²,

Mansfeld³

et al. 2016

EPL

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-Chirping frequency patterns have been observed in the electron cyclotron emission from strongly nonequilibrium plasma confined in a table-top mirror magnetic trap. Such patterns are typical for the formation of nonlinear phase space structures in a proximity of the wave-particle resonances of a kinetically unstable plasma, also known as the "holes and clumps" mechanism. Our data provides the first experimental evidence for acting of this mechanism in the electron cyclotron frequency domain.Introduction. -Resonant interaction of electromagnetic waves and charged particles plays an important role in the dynamics of magnetoactive plasma confined in space and laboratory magnetic traps. One of the most intriguing manifestations of such interaction is emission of broadband radiation with regular variations of dynamical spectra, e.g. quasi-periodic bursts with a frequency sweeping, resulting from the development of kinetic plasma instabilities. Such events are common features of experimental plasmas. Kinetic instabilities are caused by the presence of positive gradients in the velocity distribution of resonant particles, whose formation is universal for both space and laboratory plasma. In space magnetic traps, the sources of free energy are formed due to different acceleration mechanisms of particles, such as betatron acceleration, plasma-wave turbulence and magnetic reconnection. Under laboratory conditions, the energetic particles with an anisotropic velocity distribution can be formed due to the features of plasma heating, when the energy of the external source is embedded in a specific region of the phase space, such as provided by resonant cyclotron heating or neutral beam injection in magnetic fusion experiment. Spatial gradients can also result in instabilities of waves for which the diffusion in real space is coupled to the diffusion in velocity space due to conservation of invariants of particle motion in inhomogeneous systems energy; this type of instability is exploited in the so-called alpha channeling proposals [1,2]. As a rule, plasma confined in laboratory traps consists of at least two components, one

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Interaction of Electrons with Electromagnetic Fields at Resonance

Guest¹

2009

Electron Cyclotron Heating of Plasmas

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Quasilinear theory of cyclotron heating of plasma in toroidal systems by monochromatic radiation

Cited by 44 publications

References 2 publications

Positive and negative effective mass of classical particles in oscillatory and static fields

Positive and negative effective mass of classical particles in oscillatory and static fields

Observation of quasi-periodic frequency sweeping in electron cyclotron emission of nonequilibrium mirror-confined plasma

Interaction of Electrons with Electromagnetic Fields at Resonance

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