Astrophysical Thermonuclear Functions for Boltzmann-Gibbs Statistics and Tsallis Statistics
arXiv:math-ph/0406049 · doi:10.1016/j.physa.2004.06.047
Abstract
We present an analytic proof of the integrals for astrophysical thermonuclear functions which are derived on the basis of Boltzmann-Gibbs statistical mechanics. Among the four different cases of astrophysical thermonuclear functions, those with a depleted high-energy tail and a cut-off at high energies find a natural interpretation in q-statistics.
10 pages, LaTeX
References in corpus (1)
Cited by in corpus (12)
- Pathway Model, Superstatistics, Tsallis Statistics, and a Generalized Measure of Entropy
- Solution of generalized fractional reaction-diffusion equations
- Extension of thermonuclear functions through the pathway model including Maxwell-Boltzmann and Tsallis distributions
- Reaction-diffusion systems and nonlinear waves
- Space-time fractional reaction-diffusion equations associated with a generalized Riemann-Liouville fractional derivative
- On extended thermonuclear functions through pathway model
- Pathway parameter and thermonuclear functions
- Analytical predictions of non-Gaussian distribution parameters for stellar plasmas
- Fusion yield: Guderley model and Tsallis statistics
- Crab pulsar spectrum: a non-extensive approach
- Closed-form representations of extended astrophysical thermonuclear functions
- Analytical results connecting stellar structure parameters and extended reaction rates