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Teoria cin?tica relativ?stica: efeitos n?o-extensivos no o Teorema-H / Relativistic theory kinetics: non-extensive effects on the Theorem-H

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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.

Identiferoai:union.ndltd.org:IBICT/oai:repositorio.ufrn.br:123456789/24044
Date03 June 2016
CreatorsOliveira, Zaira Bruna Borges de
Contributors72106310463, Barboza J?nior, Ed?sio Miguel, 09092713724, Alcaniz, Jailson Souza de, 96817747449, Silva J?nior, Raimundo
PublisherPROGRAMA DE P?S-GRADUA??O EM F?SICA, UFRN, Brasil
Source SetsIBICT Brazilian ETDs
LanguagePortuguese
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/masterThesis
Sourcereponame:Repositório Institucional da UFRN, instname:Universidade Federal do Rio Grande do Norte, instacron:UFRN
Rightsinfo:eu-repo/semantics/openAccess

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