Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Influence of bounce resonance effects on the cyclotron wave
  instabilities in dipole magnetospheric plasmas with anisotropic temperature   In this paper, we derive the dispersion equations for field-aligned cyclotron
waves in an axisymmetric dipole magnetospheric plasmas with both the
bi-Maxwellian and bi-Lorentzian distribution functions. To evaluate the
contribution of trapped particles to the transverse current density components
the Vlasov equation is solved using a standard method of switching to new
variables associated with conservation integrals; new time-like variable is
introduced (instead of the geomagnetic latitude angle) to describe the
bounce-motion of trapped particles along the geomagnetic field; the perturbed
electric field and current density components are Fourier-decomposed over the
length of the geomagnetic field lines. As a result, the transverse permittivity
elements are expressed by summation of bounce-resonant terms including the
double integration in velocity space, the resonant denominators, and the
corresponding phase coefficients. Due to geomagnetic field nonuniformity, the
wave-particle resonance conditions in magnetospheric plasmas are entirely
different from ones in the straight magnetic field; the all spectrum of the
electric field is present in the given current density harmonic; the left- and
right-hand polarized waves are coupled. To have some analogy with the linear
theory of cyclotron waves in the straight magnetic field, we assume that the
n-th harmonic of the electric field gives the main contribution to the n-th
harmonic of the current density, and the connection of the left- and right-hand
polarized waves is small. In this case, the dispersion equations for cyclotron
waves have the simplest form and are suitable to analyze the instabilities of
both the electron- and ion-cyclotron waves accounting for the bounce resonance
effects.

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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin