Generalizing Bogoliubov–Zubarev Theorem to Account for Pressure Fluctuations: Application to Relativistic Gas
The problem of pressure fluctuations in the thermal equilibrium state of some objects is discussed, its solution being suggested via generalizing the Bogoliubov–Zubarev theorem. This theorem relates the thermodynamic pressure with the Hamilton function and its derivatives describing the ob...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-03-01
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| Series: | Particles |
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| Online Access: | https://www.mdpi.com/2571-712X/2/1/11 |
| _version_ | 1818057509444780032 |
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| author | Yuri G. Rudoy Yuri P. Rybakov |
| author_facet | Yuri G. Rudoy Yuri P. Rybakov |
| author_sort | Yuri G. Rudoy |
| collection | DOAJ |
| description | The problem of pressure fluctuations in the thermal equilibrium state of some objects is discussed, its solution being suggested via generalizing the Bogoliubov–Zubarev theorem. This theorem relates the thermodynamic pressure with the Hamilton function and its derivatives describing the object in question. It is shown that unlike to other thermodynamic quantities (e.g., the energy or the volume) the pressure fluctuations are described not only by a purely thermodynamic quantity (namely, the corresponding thermodynamic susceptibility) but also by some non-thermodynamic quantities. The attempt is made to apply these results to the relativistic ideal gases, with some numerical results being valid for the limiting ultra-relativistic or high-temperature case. |
| first_indexed | 2024-12-10T12:45:52Z |
| format | Article |
| id | doaj.art-d27daecf7f144c0f84ca5baaf26c2072 |
| institution | Directory Open Access Journal |
| issn | 2571-712X |
| language | English |
| last_indexed | 2024-12-10T12:45:52Z |
| publishDate | 2019-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Particles |
| spelling | doaj.art-d27daecf7f144c0f84ca5baaf26c20722022-12-22T01:48:23ZengMDPI AGParticles2571-712X2019-03-012115016510.3390/particles2010011particles2010011Generalizing Bogoliubov–Zubarev Theorem to Account for Pressure Fluctuations: Application to Relativistic GasYuri G. Rudoy0Yuri P. Rybakov1Institute for Physical Research and Technologies, RUDN University, Miklukho-Maklay Str. 6, Moscow 117198, RussiaInstitute for Physical Research and Technologies, RUDN University, Miklukho-Maklay Str. 6, Moscow 117198, RussiaThe problem of pressure fluctuations in the thermal equilibrium state of some objects is discussed, its solution being suggested via generalizing the Bogoliubov–Zubarev theorem. This theorem relates the thermodynamic pressure with the Hamilton function and its derivatives describing the object in question. It is shown that unlike to other thermodynamic quantities (e.g., the energy or the volume) the pressure fluctuations are described not only by a purely thermodynamic quantity (namely, the corresponding thermodynamic susceptibility) but also by some non-thermodynamic quantities. The attempt is made to apply these results to the relativistic ideal gases, with some numerical results being valid for the limiting ultra-relativistic or high-temperature case.https://www.mdpi.com/2571-712X/2/1/11Gibbs equilibrium statistical mechanicsBogoliubov’s quasi-averagespressure fluctuationsrelativistic ideal gas |
| spellingShingle | Yuri G. Rudoy Yuri P. Rybakov Generalizing Bogoliubov–Zubarev Theorem to Account for Pressure Fluctuations: Application to Relativistic Gas Particles Gibbs equilibrium statistical mechanics Bogoliubov’s quasi-averages pressure fluctuations relativistic ideal gas |
| title | Generalizing Bogoliubov–Zubarev Theorem to Account for Pressure Fluctuations: Application to Relativistic Gas |
| title_full | Generalizing Bogoliubov–Zubarev Theorem to Account for Pressure Fluctuations: Application to Relativistic Gas |
| title_fullStr | Generalizing Bogoliubov–Zubarev Theorem to Account for Pressure Fluctuations: Application to Relativistic Gas |
| title_full_unstemmed | Generalizing Bogoliubov–Zubarev Theorem to Account for Pressure Fluctuations: Application to Relativistic Gas |
| title_short | Generalizing Bogoliubov–Zubarev Theorem to Account for Pressure Fluctuations: Application to Relativistic Gas |
| title_sort | generalizing bogoliubov zubarev theorem to account for pressure fluctuations application to relativistic gas |
| topic | Gibbs equilibrium statistical mechanics Bogoliubov’s quasi-averages pressure fluctuations relativistic ideal gas |
| url | https://www.mdpi.com/2571-712X/2/1/11 |
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