Submitted by Automa??o e Estat?stica (sst@bczm.ufrn.br) on 2017-10-04T21:58:21Z No. of bitstreams: 1 ZairaBrunaBorgesDeOliveira_DISSERT.pdf: 558082 bytes, checksum: 8a6b37de39eb5c7535dd747f52825d2b (MD5) / Approved for entry into archive by Arlan Eloi Leite Silva (eloihistoriador@yahoo.com.br) on 2017-10-11T23:47:56Z (GMT) No. of bitstreams: 1 ZairaBrunaBorgesDeOliveira_DISSERT.pdf: 558082 bytes, checksum: 8a6b37de39eb5c7535dd747f52825d2b (MD5) / Made available in DSpace on 2017-10-11T23:47:56Z (GMT). No. of bitstreams: 1 ZairaBrunaBorgesDeOliveira_DISSERT.pdf: 558082 bytes, checksum: 8a6b37de39eb5c7535dd747f52825d2b (MD5) Previous issue date: 2016-06-03 / Conselho Nacional de Desenvolvimento Cient?fico e Tecnol?gico (CNPq) / O Teorema-H relativ?stico, incluindo efeitos n?o-extensivos, foi calculado usando o q-c?lculo. A hip?tese de caos molecular foi generalizada com o objetivo de introduzir fortes correla??es estat?sticas entre as fun??es de distribui??es relativ?sticas. A positividade da fonte de entropia conduz a um v?nculo termodin?mico sobre o par?metro entr?pico, q 2 [0; 2]. Tamb?m foi provado que os estados de equil?brio colisional (termo da fonte de entropia nula) s?o descritos por uma lei de pot?ncia relativ?stica que estende a distribui??o exponencial de Juttner, que se reduz, no dom?nio cl?ssico, a fun??o lei de pot?ncia de Tsallis. Todos os resultados fornecem os resultados padr?es no limite extensivo (q = 1), mostrando assim que o formalismo de Tsallis ? compat?vel com as quest?es abordadas na teoria da relatividade especial. / 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.