Relativistic corrections to the distribution functions of particles in a high-temperature plasma

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Abstract
Single- and double-particle functions for a high-temperature plasma in thermodynamic equilibrium are found by integrating the general Gibbs distribution. The plasma itself is described by Darwin's Lagrangian so that relativistic effects can be taken into account with an accuracy to terms of the order of v2/c2. The single-particle distribution functions are shown to be somewhat different from the Maxwellian ones in this approximation.

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