Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relativistic transformation of phase-space distributions   We investigate the transformation of the distribution function in the
relativistic case, a problem of interest in plasma when particles with high
(relativistic) velocities come into play as for instance in radiation belt
physics, in the electron-cyclotron maser radiation theory, in the vicinity of
high-Mach number shocks where particles are accelerated to high speeds, and
generally in solar and astrophysical plasmas. We show that the phase-space
volume element is a Lorentz constant and construct the general particle
distribution function from first principles. Application to thermal equilibrium
lets us derive a modified version of the isotropic relativistic thermal
distribution, the modified J\"uttner distribution corrected for the
Lorentz-invariant phase-space volume element. Finally, we discuss the
relativistic modification of a number of plasma parameters.
  Keywords: Relativistic invariance of the one-particle distribution function,
J\"uttner distribution, relativistic plasma parameters

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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: math
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: nlin