Teoria cinética relativística: efeitos não-extensivos no o Teorema-H

Abstract

The relativistic H theorem, by including nonextensive effects, has been calculated using the so-called q-calculus. The molecular chaos hypothesis was generalized in order to capture the strong statistical correlations between the relativistic distributions functions. The positiveness of the source of entropy leads to thermodynamical constraint on the entropic parameter, q 2 [0; 2]. It was also proven that the collisional equilibrium states (null entropy source term) are described by the relativistic q power law extension of the exponential Juttner distribution which reduces, in the nonrelativistic domain, to the Tsallis power law function. All results provide to the standard ones in the extensive limit (q = 1), thereby showing that the Tsallis framework is compatible with the issues addresed in the special relativity theory.