H-Theorem, Relativity, and Tsallis Entropy

Physics – Condensed Matter – Statistical Mechanics

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Statistical Mechanics, Special Relativity, Entropy, Classical Statistical Mechanics, Special Relativity, Nonequilibrium And Irreversible Thermodynamics, Other Topics In Statistical Physics, Thermodynamics, And Nonlinear Dynamical Systems

Scientific paper

The relativistic H-theorem is discussed in the context of the q-nonextensive statistical mechanics proposed by Tsallis. The molecular chaos hypothesis is not valid, and the collisional equilibrium states (null entropy source term) are described by the relativistic q-power law extension of the exponential Juttner distribution. In the nonrelativistic domain, the Tsallis power law function is recovered.

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