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Gamow Temperature in Tsallis and Kaniadakis Statistics.
Hooman Moradpour1, Mohsen Javaherian1, Ebrahim Namvar1
1Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), University of Maragheh, Maragheh P.O. Box 55136-553, Iran.
Entropy (Basel, Switzerland)
|June 24, 2022
Summary
Gamow
Area of Science:
- Astrophysics
- Statistical Mechanics
Background:
- The classical framework overestimates stellar burning temperatures.
- Gamow's theory utilizes quantum tunneling and Maxwell-Boltzmann-Gibbs statistics.
Purpose of the Study:
- To investigate the impact of non-extensivity on Gamow temperature.
- To analyze stellar burning processes under Tsallis and Kaniadakis statistics.
Main Methods:
- Defining a thermal length scale to emphasize the equipartition theorem.
- Applying Tsallis and Kaniadakis non-extensive statistics.
Main Results:
- Gamow temperature decreases under Kaniadakis statistics.
- Gamow temperature shows variable behavior under Tsallis statistics compared to the standard Gamow temperature (T).
Conclusions:
- Non-extensive statistics modify the predicted temperatures for stellar nuclear reactions.
- Tsallis and Kaniadakis statistics offer alternative frameworks for understanding stellar nucleosynthesis.
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