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Previous issue date: 2011-09-19 / Conselho Nacional de Desenvolvimento Cient?fico e Tecnol?gico / Considering a non-relativistic ideal gas, the standard foundations of
kinetic theory are investigated in the context of non-gaussian statistical mechanics
introduced by Kaniadakis. The new formalism is based on the generalization
of the Boltzmann H-theorem and the deduction of Maxwells
statistical distribution. The calculated power law distribution is parameterized
through a parameter measuring the degree of non-gaussianity. In
the limit = 0, the theory of gaussian Maxwell-Boltzmann distribution is
recovered. Two physical applications of the non-gaussian effects have been
considered. The first one, the -Doppler broadening of spectral lines from
an excited gas is obtained from analytical expressions. The second one,
a mathematical relationship between the entropic index and the stellar
polytropic index is shown by using the thermodynamic formulation for
self-gravitational systems / Considerando um g?s ideal n?o relativ?stico, os fundamentos da teoria
cin?tica padr?o s?o investigados no contexto da mec?nica estat?stica
n?o-gaussiana introduzida por Kaniadakis. O novo formalismo ? baseado
na generaliza??o do teorema-H de Boltzmann e na dedu??o de Maxwell
da distribui??o estat?stica. A distribui??o lei de pot?ncia calculada ?
parametrizada por um par?metro medindo o grau de n?o-gaussianidade
do sistema. No limite = 0, a teoria gaussiana de Maxwell-Boltzmann
? recuperada. Duas aplica??es dos efeitos n?o-gaussiano s?o estudados.
Na primeira, o -alargamento Doppler das linhas espectrais de um g?s excitado
? obtido a partir das express?es anal?ticas. Na segunda, uma rela??o
matem?tica entre o ?ndice entr?pico e o ?ndice politr?pico estelar
? mostrada usando uma formula??o termodin?mica para sistemas autogravitantes
| Identifer | oai:union.ndltd.org:IBICT/oai:repositorio.ufrn.br:123456789/18595 |
| Date | 19 September 2011 |
| Creators | Bento, Eli?ngela Paulino |
| Contributors | CPF:72106310463, http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4790590E2, Carvalho, Fabio Cabral, CPF:09634580478, http://lattes.cnpq.br/3437739405350090, Anselmo, Dory H?lio Aires de Lima, CPF:59764708404, http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4790590Y7, Silva J?nior, Raimundo |
| Publisher | Universidade Federal do Rio Grande do Norte, Programa de P?s-Gradua??o em F?sica, UFRN, BR, F?sica da Mat?ria Condensada; Astrof?sica e Cosmologia; F?sica da Ionosfera |
| Source Sets | IBICT Brazilian ETDs |
| Language | Portuguese |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/masterThesis |
| Format | application/pdf |
| 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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