Nonlinear dynamics of charged particles in an oblique electromagnetic wave

Vasiliev, A. A.; Neishtadt, A. I.; Artemyev, А. V.

doi:10.1016/j.physleta.2011.06.055

Cited by 14 publications

(22 citation statements)

References 17 publications

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“…4.3 and 4.5 of the review [5], or [6]). Transitions of this type were met also in the frame of plasma physics, in connection with the destruction of magnetic surfaces [7,8], and also with the chaoticity thus induced on single particle motions [9].…”

Section: Introductionmentioning

confidence: 98%

Transition from order to chaos, and density limit, in magnetized plasmas

Carati

Zuin

Maiocchi

et al. 2012

Chaos: An Interdisciplinary Journal of Nonlinear Science

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It is known that a plasma in a magnetic field, conceived microscopically as a system of point charges, can exist in a magnetized state, and thus remain confined, inasmuch as it is in an ordered state of motion, with the charged particles performing gyrational motions transverse to the field. Here we give an estimate of a threshold, beyond which transverse motion become chaotic, the electrons being unable to perform even one gyration, so that a breakdown should occur, with complete loss of confinement. The estimate is obtained by the methods of perturbation theory, taking as perturbing force acting on each electron that due to the so-called microfield, i.e., the electric field produced by all the other charges. We first obtain a general relation for the threshold, which involves the fluctuations of the microfield. Then, taking for such fluctuations the fomula given by Iglesias, Lebowitz and MacGowan for the model of a one component plasma with neutralizing background, we obtain a definite formula for the threshold, which corresponds to a density limit increasing as the square of the imposed magnetic field. Such a theoretical density limit is found to fit pretty well the empirical data for collapses of fusion machines.

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Section: Introductionmentioning

confidence: 98%

Transition from order to chaos, and density limit, in magnetized plasmas

Carati

Zuin

Maiocchi

et al. 2012

Chaos: An Interdisciplinary Journal of Nonlinear Science

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“…The relativistic system with an electrostatic oblique wave was considered in [27]. Surfatron acceleration by oblique electromagnetic waves was considered for nonrelativistic systems [33,34].…”

Section: Discussionmentioning

confidence: 99%

“…There are several generalizations of the mechanism of the surfatron acceleration for more complex systems: effects of wave front curvature were considered in [29]; it was shown that the surfatron mechanism can be realized in systems with a curved background magnetic field [30]; the combination of the surfatron acceleration with gyroresonances was investigated in [31]; effects of the obliqueness of the wave propagation relative to the background magnetic field for electrostatic wave [21,27] and electromagnetic wave [32][33][34] were also investigated.…”

Section: Introductionmentioning

confidence: 99%

Stability of relativistic surfatron acceleration

et al. 2014

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In this paper we consider the surfatron acceleration of relativistic charged particles by a strong electrostatic wave propagating in a transverse direction relative to the background magnetic field. We investigate how high-frequency fluctuations of the background magnetic field affect the process of the resonant acceleration. We show that the presence of fluctuations leads to particle escape from the surfatron resonance and illustrate that fluctuations of different components of the magnetic field have quite a distinct effect on the energy gained by particles. In the case of the same power density, the strongest effect corresponds to fluctuations of the component directed along the background magnetic field, while the effect of the component along the wave front is substantially weaker. This is more important for particles with a large velocity component along the background magnetic field. We demonstrate that the dynamics of particles can statistically be described in terms of the adiabatic invariant diffusion. We derive the corresponding diffusion equation and compare solutions of that equation with results obtained by the explicit particle tracing.

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“…The obliquity of waves (the presence of a wave number component directed along the background magnetic field) affects the trapped particle motion and leads to particle escape from resonance [106,137]. For the system from Subsect.…”

Section: Obliquely Propagating Electromagnetic Wavesmentioning

confidence: 99%

“…Comparing Eqs. (137) and Eqs. (99), we obtain for B 0 = const (in which case B 0x = 0) the new gyrofrequency Ω 0 /γ where Ω 0 = eB 0 /mc is a gyrofrequency in the nonrelativistic (γ → 1) case.…”

Section: Particle Acceleration In Relativistic Plasma Systemsmentioning

confidence: 99%

Trapping (capture) into resonance and scattering on resonance: Summary of results for space plasma systems

Artemyev

Neishtadt

Vainchtein

et al. 2018

Communications in Nonlinear Science and Numerical Simulation

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In the present review we survey space plasma systems where the nonlinear resonant interaction between charged particles and electromagnetic waves plays an important role. We focus on particle acceleration by strong electromagnetic waves. We start with presenting a general description of nonlinear resonant interaction based on the theory of slowfast Hamiltonian systems with resonances. Then we turn to several manifestations of the resonance effects in various space plasma systems. We describe a universal approach for evaluating main characteristics of the resonant particle dynamics: probability of trapping into resonance, energy change due to scattering and trapping. Then we demonstrate how effects of nonlinear resonant trapping and scattering can be combined in a generalized kinetic equation. We also discuss the stability of trapped motion and evolution of particle ensemble in systems with trapping. The main objective of this review is to provide a general approach for characterizing plasma systems with nonlinear resonant interactions.

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Nonlinear dynamics of charged particles in an oblique electromagnetic wave

Cited by 14 publications

References 17 publications

Transition from order to chaos, and density limit, in magnetized plasmas

Transition from order to chaos, and density limit, in magnetized plasmas

Stability of relativistic surfatron acceleration

Trapping (capture) into resonance and scattering on resonance: Summary of results for space plasma systems

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