Fundamentação cinética da estatística não gaussiana : efeitos em politrópicas

• Autor(a) principal: Bento, Eliângela Paulino
• Data de Publicação: 2011
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: Repositório Institucional da UFRN
• Texto Completo: https://repositorio.ufrn.br/jspui/handle/123456789/18595
• topic: Mecânica estatística não-gaussiana; Teorema-H de Boltzmann; Dedução de Maxwell da distribuição estatística; Distribuição lei de potência; 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

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