Comparative Analysis of Jüttner’s Calculation of the Energy of a Relativistic Ideal Gas and Implications for Accelerator Physics and Cosmology
Jüttner used the conventional theory of relativistic statistical mechanics to calculate the energy of a relativistic ideal gas in 1911. An alternative derivation of the energy of a relativistic ideal gas was published by Horwitz, Schieve and Piron in 1981 within the context of parametrized relativis...
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| Format: | Article |
| Language: | English |
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MDPI AG
2017-07-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/19/7/374 |
| _version_ | 1817995135729795072 |
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| author | John R. Fanchi |
| author_facet | John R. Fanchi |
| author_sort | John R. Fanchi |
| collection | DOAJ |
| description | Jüttner used the conventional theory of relativistic statistical mechanics to calculate the energy of a relativistic ideal gas in 1911. An alternative derivation of the energy of a relativistic ideal gas was published by Horwitz, Schieve and Piron in 1981 within the context of parametrized relativistic statistical mechanics. The resulting energy in the ultrarelativistic regime differs from Jüttner’s result. We review the derivations of energy and identify physical regimes for testing the validity of the two theories in accelerator physics and cosmology. |
| first_indexed | 2024-04-14T02:02:36Z |
| format | Article |
| id | doaj.art-95be7a9810894828b2f0f457a0682bad |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-14T02:02:36Z |
| publishDate | 2017-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-95be7a9810894828b2f0f457a0682bad2022-12-22T02:18:48ZengMDPI AGEntropy1099-43002017-07-0119737410.3390/e19070374e19070374Comparative Analysis of Jüttner’s Calculation of the Energy of a Relativistic Ideal Gas and Implications for Accelerator Physics and CosmologyJohn R. Fanchi0Department of Engineering and TCU Energy Institute, Texas Christian University, Fort Worth, TX 76129, USAJüttner used the conventional theory of relativistic statistical mechanics to calculate the energy of a relativistic ideal gas in 1911. An alternative derivation of the energy of a relativistic ideal gas was published by Horwitz, Schieve and Piron in 1981 within the context of parametrized relativistic statistical mechanics. The resulting energy in the ultrarelativistic regime differs from Jüttner’s result. We review the derivations of energy and identify physical regimes for testing the validity of the two theories in accelerator physics and cosmology.https://www.mdpi.com/1099-4300/19/7/374jüttner distributionrelativistic ideal gascosmologyaccelerator physics |
| spellingShingle | John R. Fanchi Comparative Analysis of Jüttner’s Calculation of the Energy of a Relativistic Ideal Gas and Implications for Accelerator Physics and Cosmology Entropy jüttner distribution relativistic ideal gas cosmology accelerator physics |
| title | Comparative Analysis of Jüttner’s Calculation of the Energy of a Relativistic Ideal Gas and Implications for Accelerator Physics and Cosmology |
| title_full | Comparative Analysis of Jüttner’s Calculation of the Energy of a Relativistic Ideal Gas and Implications for Accelerator Physics and Cosmology |
| title_fullStr | Comparative Analysis of Jüttner’s Calculation of the Energy of a Relativistic Ideal Gas and Implications for Accelerator Physics and Cosmology |
| title_full_unstemmed | Comparative Analysis of Jüttner’s Calculation of the Energy of a Relativistic Ideal Gas and Implications for Accelerator Physics and Cosmology |
| title_short | Comparative Analysis of Jüttner’s Calculation of the Energy of a Relativistic Ideal Gas and Implications for Accelerator Physics and Cosmology |
| title_sort | comparative analysis of juttner s calculation of the energy of a relativistic ideal gas and implications for accelerator physics and cosmology |
| topic | jüttner distribution relativistic ideal gas cosmology accelerator physics |
| url | https://www.mdpi.com/1099-4300/19/7/374 |
| work_keys_str_mv | AT johnrfanchi comparativeanalysisofjuttnerscalculationoftheenergyofarelativisticidealgasandimplicationsforacceleratorphysicsandcosmology |