Astronomy and Astrophysics – Astrophysics
Scientific paper
2008-07-22
Astronomy and Astrophysics
Astrophysics
10 pages, 1 figure
Scientific paper
10.1016/j.physleta.2008.07.029
In this letter, we determine the $\kappa$-distribution function for a gas in the presence of an external field of force described by a potential U(${\bf r}$). In the case of a dilute gas, we show that the $\kappa$-power law distribution including the potential energy factor term can rigorously be deduced in the framework of kinetic theory with basis on the Vlasov equation. Such a result is significant as a preliminary to the discussion on the role of long range interactions in the Kaniadakis thermostatistics and the underlying kinetic theory.
Lima Jose A. S.
Silva J. M.
Silva Ricardo
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