Gamow Temperature in Tsallis and Kaniadakis Statistics
Relying on the quantum tunnelling concept and Maxwell–Boltzmann–Gibbs statistics, Gamow shows that the star-burning process happens at temperatures comparable to a critical value, called the Gamow temperature (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" displa...
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| Language: | English |
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MDPI AG
2022-06-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/24/6/797 |
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| author | Hooman Moradpour Mohsen Javaherian Ebrahim Namvar Amir Hadi Ziaie |
| author_facet | Hooman Moradpour Mohsen Javaherian Ebrahim Namvar Amir Hadi Ziaie |
| author_sort | Hooman Moradpour |
| collection | DOAJ |
| description | Relying on the quantum tunnelling concept and Maxwell–Boltzmann–Gibbs statistics, Gamow shows that the star-burning process happens at temperatures comparable to a critical value, called the Gamow temperature (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="monospace">T</mi></semantics></math></inline-formula>) and less than the prediction of the classical framework. In order to highlight the role of the equipartition theorem in the Gamow argument, a thermal length scale is defined, and then the effects of non-extensivity on the Gamow temperature have been investigated by focusing on the Tsallis and Kaniadakis statistics. The results attest that while the Gamow temperature decreases in the framework of Kaniadakis statistics, it can be bigger or smaller than <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="monospace">T</mi></semantics></math></inline-formula> when Tsallis statistics are employed. |
| first_indexed | 2024-03-09T23:51:23Z |
| format | Article |
| id | doaj.art-30ab92dbafde43d4a894afda40b3acc7 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-09T23:51:23Z |
| publishDate | 2022-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-30ab92dbafde43d4a894afda40b3acc72023-11-23T16:33:18ZengMDPI AGEntropy1099-43002022-06-0124679710.3390/e24060797Gamow Temperature in Tsallis and Kaniadakis StatisticsHooman Moradpour0Mohsen Javaherian1Ebrahim Namvar2Amir Hadi Ziaie3Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), University of Maragheh, Maragheh P.O. Box 55136-553, IranResearch Institute for Astronomy and Astrophysics of Maragha (RIAAM), University of Maragheh, Maragheh P.O. Box 55136-553, IranResearch Institute for Astronomy and Astrophysics of Maragha (RIAAM), University of Maragheh, Maragheh P.O. Box 55136-553, IranResearch Institute for Astronomy and Astrophysics of Maragha (RIAAM), University of Maragheh, Maragheh P.O. Box 55136-553, IranRelying on the quantum tunnelling concept and Maxwell–Boltzmann–Gibbs statistics, Gamow shows that the star-burning process happens at temperatures comparable to a critical value, called the Gamow temperature (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="monospace">T</mi></semantics></math></inline-formula>) and less than the prediction of the classical framework. In order to highlight the role of the equipartition theorem in the Gamow argument, a thermal length scale is defined, and then the effects of non-extensivity on the Gamow temperature have been investigated by focusing on the Tsallis and Kaniadakis statistics. The results attest that while the Gamow temperature decreases in the framework of Kaniadakis statistics, it can be bigger or smaller than <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="monospace">T</mi></semantics></math></inline-formula> when Tsallis statistics are employed.https://www.mdpi.com/1099-4300/24/6/797generalized statisticsstar formationquantum tunnelingequipartition theorem |
| spellingShingle | Hooman Moradpour Mohsen Javaherian Ebrahim Namvar Amir Hadi Ziaie Gamow Temperature in Tsallis and Kaniadakis Statistics Entropy generalized statistics star formation quantum tunneling equipartition theorem |
| title | Gamow Temperature in Tsallis and Kaniadakis Statistics |
| title_full | Gamow Temperature in Tsallis and Kaniadakis Statistics |
| title_fullStr | Gamow Temperature in Tsallis and Kaniadakis Statistics |
| title_full_unstemmed | Gamow Temperature in Tsallis and Kaniadakis Statistics |
| title_short | Gamow Temperature in Tsallis and Kaniadakis Statistics |
| title_sort | gamow temperature in tsallis and kaniadakis statistics |
| topic | generalized statistics star formation quantum tunneling equipartition theorem |
| url | https://www.mdpi.com/1099-4300/24/6/797 |
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