Dielectric permeability of a mirror-trapped plasma

Nekrasov, F.M.; Grishanov, N. I.; Elfimov, A. G.; Azevedo, C. A. de; Assis, A. S. de

doi:10.1088/0741-3335/38/6/007

Cited by 9 publications

(25 citation statements)

References 13 publications

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“…It becomes possible 8,9 because the electron bounce frequencies can be comparable to the ''local'' ion-cyclotron frequency at the considered ͑by L) geomagnetic field line. However, this heating mechanism needs an additional investigation, taking into account the bounce resonant interaction of ion cyclotron waves with energetic ions, inasmuch as these waves can resonate to the bounce motion of both the electrons and ions.…”

Section: Discussionmentioning

confidence: 99%

Longitudinal permittivity of magnetospheric plasmas with dipole and circular magnetic field lines

1998

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Electron kinetic effects in standing shear Alfvén waves in the dipolar magnetosphereLongitudinal permittivity elements of an axisymmetric magnetosphere are derived by solving the drift-kinetic equation for the trapped particles, in a two-dimensional plasma model with dipole and circular magnetic field lines. The drift-kinetic equation is solved for waves in the frequency range much larger than the drift frequencies. It is shown that the collisionless dissipation of such waves by the bounce-resonant interaction with the trapped particles differs substantially from one in a straight magnetic field. The estimations of the electron Landau damping for kinetic Alfvén waves in magnetospheric plasmas are presented. Imaginary part of the longitudinal permittivity is analyzed numerically in the wide range of wave frequencies and plasma parameters.

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Section: Discussionmentioning

confidence: 99%

Longitudinal permittivity of magnetospheric plasmas with dipole and circular magnetic field lines

1998

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“…Note that the 'old' r variable in (13) and (14) should be determined by r(L, θ) satisfying equation (10), L = L(r, θ). Since LDMFP is a configuration with one minimum of an equilibrium magnetic field the plasma particles should be split in the two populations of the so-called trapped and untrapped particles.…”

Section: Reduced Vlasov Equationmentioning

confidence: 99%

“…As regards to LDMFP (as well as to the Earth's magnetosphere [7,12], and the straight mirror traps [13]), equation (61) can be simplified substantially under the condition when the H 0φ component of H 0 is equal to zero, H 0φ = 0. In this case, the vectors n, b, h have the following cylindrical projections:…”

Section: A Vlasov Equation For Plasma Particles In the Arbitrary Magnmentioning

confidence: 99%

“…In this paper, we evaluate the main contributions of the trapped and untrapped (circulating or passing) particles to the dielectric tensor elements for radio-frequency waves in a 2D LDMFP model taking into account the cyclotron, transit time and bounce resonances, using an approach developed in [7,[12][13][14]. As some restriction, the finite 'beta' effects are not included describing the equilibrium magnetic field.…”

Section: Introductionmentioning

confidence: 99%

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Dielectric Characteristics for Radio Frequency Waves in a Laboratory Dipole Plasma

Grishanov¹,

Loula

Azevedo

et al. 2006

Contrib. Plasma Phys.

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Transverse and parallel dielectric permittivity elements have been derived for radio frequency waves in a laboratory dipole magnetic field plasma. Vlasov equation is resolved for both the trapped and untrapped particles as a boundary value problem to define their separate contributions to the dielectric tensor components. To estimate the wave power absorbed in the plasma volume the perturbed electric field and current density components are decomposed in a Fourier series over the poloidal angle. In this case, the dielectric characteristics can be analyzed independently of the solution of the Maxwell's equations. As usual, imaginary part of the parallel permittivity elements is necessary to estimate the electron Landau damping of radio frequency waves, whereas imaginary part of the transverse permittivity elements is important to estimate the wave dissipation by the cyclotron resonances. Computations of the imaginary part of the parallel permittivity elements are carried out in a wide range of the wave frequencies.

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“…(1990), Hojo & Hatori (1993), Nekrasov et al. (1996), Bagulov & Kotelnikov (2012)). The most important features of any 2D systems with a minimum of confined magnetic field include the fact that the parallel velocity of plasma particles gyrating along the magnetic field lines is not constant (i.e.…”

Section: Introductionmentioning

confidence: 99%

Instability of field-aligned electron–cyclotron waves in a magnetic mirror plasma with anisotropic temperature

Grishanov

Azarenkov

2016

J. Plasma Phys.

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Dispersion characteristics have been analysed for field-aligned electron–cyclotron waves (also known as right-hand polarized waves, extraordinary waves or whistlers) in a cylindrical magnetic mirror plasma including electrons with anisotropic temperature. It is shown that the instability of these waves is possible only in the range below the minimal electron–cyclotron frequency, which is much lower than the gyrotron frequency used for electron–cyclotron resonance power input into the plasma, under the condition where the perpendicular temperature of the resonant electrons is larger than their parallel temperature. The growth rates of whistler instability in the two magnetized plasma models, where the stationary magnetic field is either uniform or has a non-uniform magnetic mirror configuration, are compared.

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Dielectric permeability of a mirror-trapped plasma

Cited by 9 publications

References 13 publications

Longitudinal permittivity of magnetospheric plasmas with dipole and circular magnetic field lines

Longitudinal permittivity of magnetospheric plasmas with dipole and circular magnetic field lines

Dielectric Characteristics for Radio Frequency Waves in a Laboratory Dipole Plasma

Instability of field-aligned electron–cyclotron waves in a magnetic mirror plasma with anisotropic temperature

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