Relativistic kinetic theory and non-gaussian statistical

de Oliveira, Z.B.B.; Silva, R.

doi:10.1016/j.aop.2016.10.009

Relativistic kinetic theory and non-gaussian statistical

Oct 19, 2016

6 pages

Published in:

Annals Phys. 375 (2016) 227-232,
Annals Phys. 375 (2016) 227-232

Published: Oct 19, 2016
and
Published: Dec, 2016

DOI:

10.1016/j.aop.2016.10.009 (publication)

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Abstract: (Elsevier Inc.)

The nonextensive statistical mechanics is extended in the special relativity context through a generalization of

H

-theorem. We show that the Tsallis framework is compatible with the second law of the thermodynamics when the nonadditive effects are consistently introduced on the collisional term of the Boltzmann equation. The proof of the

H

-theorem follows from using of

q

-algebra in the generalization of the molecular chaos hypothesis (Stosszahlansatz). A thermodynamic consistency is possible whether the entropic parameter belongs to interval

q \in [0, 2]

.

Entropy
H-theorem
Non-gaussian statistics

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