Extension of thermonuclear functions through the pathway model including Maxwell-Boltzmann and Tsallis distributions

Details Extension of thermonuclear functions through the pathway model including Maxwell-Boltzmann and Tsallis distributions Extension of thermonuclear functions through the pathway model including Maxwell-Boltzmann and Tsallis distributions

2007-08-16

arxiv.org/abs/0708.2239v1

Astropart.Phys.29:70-76,2008

Astronomy and Astrophysics

Astrophysics

16 pages, LaTeX

Scientific paper

10.1016/j.astropartphys.2007.11.

The Maxwell-Boltzmannian approach to nuclear reaction rate theory is extended to cover Tsallis statistics (Tsallis, 1988) and more general cases of distribution functions. An analytical study of respective thermonuclear functions is being conducted with the help of statistical techniques. The pathway model, recently introduced by Mathai (2005), is utilized for thermonuclear functions and closed-form representations are obtained in terms of H-functions and G-functions. Maxwell-Boltzmannian thermonuclear functions become particular cases of the extended thermonuclear functions. A brief review on the development of the theory of analytic representations of nuclear reaction rates is given.

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