Mathematics – Logic
Scientific paper
Jan 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984zhetf..86....3z&link_type=abstract
Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki (ISSN 0044-4510), vol. 86, Jan. 1984, p. 3-12. In Russian.
Mathematics
Logic
6
Big Bang Cosmology, Coulomb Collisions, Gravitational Effects, Relativistic Plasmas, Collisional Plasmas, Integral Equations, Kinetic Equations, Landau Factor, Neutral Gases
Scientific paper
A random function is introduced to obtain a chain of equations for the relativistic distribution functions for charged particles in an isotropic, two/three dimensional Friedman world. These equations are then used to derive the relativistic kinetic equation, with an allowance made for the effect of the gravitational field on the collisions. In the limit of nonrelativistic velocities, the collision integral coincides with the Landau collision integral only when the ratio of the collision time to the cosmological time is set equal to zero. It is also shown that for a relativistic plasma in the limit where the ratio of these times approaches zero, the collision integral coincides with the Beliaev-Budker integral. Since the collision integral is free of divergences at large limiting distances, it is possible, after e-squared is replaced by G times m-squared, to apply the collision integral for a nonrelativistic plasma to a neutral gas comprising gravitating particles.
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