Silva Júnior, RaimundoBento, Eliângela Paulino2015-03-032015-02-252015-03-032011-09-19BENTO, Eliângela Paulino. Fundamentação cinética da estatística não gaussiana : efeitos em politrópicas. 2011. 78 f. Dissertação (Mestrado em Física da Matéria Condensada; Astrofísica e Cosmologia; Física da Ionosfera) - Universidade Federal do Rio Grande do Norte, Natal, 2011.https://repositorio.ufrn.br/jspui/handle/123456789/18595Considering 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 systemsapplication/pdfAcesso AbertoMecânica estatística não-gaussianaTeorema-H de BoltzmannDedução de Maxwell da distribuição estatísticaDistribuição lei de potênciaNon-gaussian statistical mechanicsBoltzmann s H theoremMaxwell s deduction of the statistical distributionPower law distributionmasterThesisCNPQ::CIENCIAS EXATAS E DA TERRA::FISICA