Theoretical analysis of Poynting flux and polarization for ELF‐VLF electromagnetic waves in the Earth's magnetosphere

Verkhoglyadova, O. P.; Tsurutani, B. T.; Lakhina, G. S.

doi:10.1002/2013ja019371

Cited by 10 publications

(4 citation statements)

References 38 publications

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“…We then used the wave dispersion relation to compute wavenumber (|k|) for the waves of interest (Wilson et al 2013b). The 180°ambiguity in the k direction in the MVA method can be eliminated by using the Poynting vector S to determine the direction of k even for oblique waves (Verkhoglyadova et al 2010(Verkhoglyadova et al , 2013-we computed S using both electric and magnetic field data, in Appendix A from Wilson et al (2013b), for all our events and determined the sign of wave propagation for MVA-computed k values. We then used this k to compute the Doppler-shifted wave frequency in the plasma frame from the MVA method.…”

Section: Methodsmentioning

confidence: 99%

Intense Whistler-mode Waves at Foreshock Transients: Characteristics and Regimes of Wave−Particle Resonant Interaction

Shi¹,

Liu²,

Artemyev

et al. 2023

ApJ

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Thermalization and heating of plasma flows at shocks result in unstable charged-particle distributions that generate a wide range of electromagnetic waves. These waves, in turn, can further accelerate and scatter energetic particles. Thus, the properties of the waves and their implication for wave−particle interactions are critically important for modeling energetic particle dynamics in shock environments. Whistler-mode waves, excited by the electron heat flux or a temperature anisotropy, arise naturally near shocks and foreshock transients. As a result, they can often interact with suprathermal electrons. The low background magnetic field typical at the core of such transients and the large wave amplitudes may cause such interactions to enter the nonlinear regime. In this study, we present a statistical characterization of whistler-mode waves at foreshock transients around Earth’s bow shock, as they are observed under a wide range of upstream conditions. We find that a significant portion of them are sufficiently intense and coherent (narrowband) to warrant nonlinear treatment. Copious observations of background magnetic field gradients and intense whistler wave amplitudes suggest that phase trapping, a very effective mechanism for electron acceleration in inhomogeneous plasmas, may be the cause. We discuss the implications of our findings for electron acceleration in planetary and astrophysical shock environments.

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Section: Methodsmentioning

confidence: 99%

Intense Whistler-mode Waves at Foreshock Transients: Characteristics and Regimes of Wave−Particle Resonant Interaction

Shi¹,

Liu²,

Artemyev

et al. 2023

ApJ

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“…A constant is a scalar in these approximations. From the viewpoint of the relativistic approximation in the dynamics of quasiparticles, the equality 2 = | |, which can be got from (13) and (14), is of importance. In this case, energy (9) can be represented as…”

Section: Basic Relations In Crystals 221 Simple Unit Cellmentioning

confidence: 99%

“…SHMELEVA, 2016ties of real particles, especially, in connection with the mentioned dynamical Dirac model in graphenes [12].The analysis of the general dynamical properties of free quasiparticles is fulfilled on the basis of one of the major characteristics of the excited states of condensed matter. This is the dispersive dependence of the energy or frequency on a wave vector [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. We will also examine the general conditions, under which the dynamical Dirac model becomes real.…”

mentioning

confidence: 99%

Some Aspects of Generalized Dynamics of Quasiparticles in Crystals with Unit Cell of Arbitrary Complexity

Suprun¹,

Shmeleva²

2016

Ukr. J. Phys.

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The conditions, under which the general description of the dynamical properties of quasiparticles is almost identical with those of real relativistic particles, are analyzed. Such analysis is, especially, actual today in connection with the growing interest in electronic properties of graphene and other nanostructures of carbon origin (fullerenes, nanotubes, etc.). The development of the traditional applications of quasiparticles (superfluidity, transfer of charge or energy) also requires a generalized analysis of dynamical properties of quasiparticles. The problem of the correlation of quantum and classical methods of description of the quasiparticles in the case of the excited states of crystals is considered. In order to focus attention on the discussed problem, the obtained results are demonstrated on the example of electronic excitations of crystals in the simplest case where other effects are neglected (phonons, defects, high density of excitations, which would require the account for interactions between them, the response of a lattice to excitations, and so forth). It is shown that such excitations can be described in three ways simultaneously. The first is the quantum description of the examined excitations in terms of wave functions and eigenvalues of energy. The second method is classical. It arises from the quantum method and is formulated in terms of the wave momentum. The third method, which follows from the second one, is also a description of the classical type, but is related to the other momentum -the mechanical one. The latter descriptions (the third or second one) make it possible to interpret the experimental data in terms of the usual relativistic dynamics. K e y w o r d s: quasiparticles, dispersive dependence, relativistic approximation, dynamical Dirac model, graphenes.c ○ A.D. SUPRUN, L.V. SHMELEVA, 2016ties of real particles, especially, in connection with the mentioned dynamical Dirac model in graphenes [12].The analysis of the general dynamical properties of free quasiparticles is fulfilled on the basis of one of the major characteristics of the excited states of condensed matter. This is the dispersive dependence of the energy or frequency on a wave vector [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. We will also examine the general conditions, under which the dynamical Dirac model becomes real. The problem of relationship between quantum and classical methods of description of quasiparticles is considered as well. Materials and Methods. Common Remarks About Dynamical Properties of Quasiparticles in Crystals Basic relationsWe will analyze the dependence (k) ≡ ( 1 , 2 , 3 ). Since the wave vector k is always associated with the

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“…The theoretical description of charge or energy transfer processes can also be used for research in sphere of transmission of information signals [ 17 ] and be the basis for further development in areas such as superconductivity [ 18 ] and superfluidity [ 19 ]. Such an analysis can be relevant for other environments [ 20 – 22 ], non-crystalline. Everything leads to the need for a general analysis of the dynamic properties of quasiparticles in crystals in general and for graphene, in particular.…”

Section: Introductionmentioning

confidence: 99%

Features of the Generalized Dynamics of Quasiparticles in Graphene

Suprun

Shmeleva

2017

Nanoscale Res Lett

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The general dynamic properties of the electron, as quasiparticle in conduction band of graphene, were analyzed. It is shown that in graphene, these properties essentially differ from similar base properties for crystals with a simple lattice, despite insignificant, on the first sight, difference of dispersion law ε(p). Primarily, crystals with an elementary cell of arbitrary complexity of structure were considered. The obtained general relations were applied further to graphene. Herewith two-dimensional lattice of graphene has been considered as consisting of elementary cells with two atoms. Typically, graphene is considered as crystals consisting of two simple nested sublattices. It has been shown that both considerations lead to the analogous basic results. On the basis of obtained wave Hamiltonian, all the dynamic characteristics of the injected electron, considered as a quasiparticle, were found: speed, tensor of effective dynamic mass, and wave Lagrangian. Also, for some physically actual situations, the dynamic characteristics of an alternative description have been found: a mechanical momentum p m, mechanical Hamiltonian, and mechanical Lagrangian. For these situations, a generalized Louis de Broglie relationship between mechanical p m and wave p momenta was found also.

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Theoretical analysis of Poynting flux and polarization for ELF‐VLF electromagnetic waves in the Earth's magnetosphere

Cited by 10 publications

References 38 publications

Intense Whistler-mode Waves at Foreshock Transients: Characteristics and Regimes of Wave−Particle Resonant Interaction

Intense Whistler-mode Waves at Foreshock Transients: Characteristics and Regimes of Wave−Particle Resonant Interaction

Some Aspects of Generalized Dynamics of Quasiparticles in Crystals with Unit Cell of Arbitrary Complexity

Features of the Generalized Dynamics of Quasiparticles in Graphene

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