Fundamenta??o cin?tica da estat?stica n?o gaussiana : efeitos em politr?picas

• Main Author: Bento, Eli?ngela Paulino
• Other Authors: CPF:72106310463
• Format: Others
• Language: Portuguese
• Published: Universidade Federal do Rio Grande do Norte 2015
• Subjects: Mec?nica estat?stica n?o-gaussiana; Teorema-H de Boltzmann; Dedu??o de Maxwell da distribui??o estat?stica; Distribui??o lei de pot?ncia; Non-gaussian statistical mechanics; Boltzmann s H theorem; Maxwell s deduction of the statistical distribution; Power law distribution; CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA
• Online Access: http://repositorio.ufrn.br:8080/jspui/handle/123456789/18595

Made available in DSpace on 2015-03-03T15:15:26Z (GMT). No. of bitstreams: 1 EliangelaPB_DISSERT.pdf: 614353 bytes, checksum: 050737d0ef158e6082d81254619adac0 (MD5) 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