Fundamentação cinética da estatística não gaussiana : efeitos em politrópicas
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 statistic...
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| Formato: | Dissertação |
| Idioma: | por |
| Publicado em: |
Universidade Federal do Rio Grande do Norte
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| Endereço do item: | https://repositorio.ufrn.br/jspui/handle/123456789/18595 |
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| Resumo: | 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 |
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