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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.
| Identifer | oai:union.ndltd.org:IBICT/oai:repositorio.ufrn.br:123456789/24044 |
| Date | 03 June 2016 |
| Creators | Oliveira, Zaira Bruna Borges de |
| Contributors | 72106310463, Barboza J?nior, Ed?sio Miguel, 09092713724, Alcaniz, Jailson Souza de, 96817747449, Silva J?nior, Raimundo |
| Publisher | PROGRAMA DE P?S-GRADUA??O EM F?SICA, UFRN, Brasil |
| Source Sets | IBICT Brazilian ETDs |
| Language | Portuguese |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/masterThesis |
| Source | reponame:Repositório Institucional da UFRN, instname:Universidade Federal do Rio Grande do Norte, instacron:UFRN |
| Rights | info:eu-repo/semantics/openAccess |
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