An approach to the quasi-equilibrium state of a self-gravitating system
We propose an approach to find out when a self-gravitating system is in a quasi-equilibrium state. This approach is based on a comparison between two quantities identifying behavior of the system: a measure of interactions intensity and the area. Gravitational scattering cross section of the system,...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-10-01
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| Series: | Physics Letters B |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269322004683 |
| _version_ | 1811275877301878784 |
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| author | Azizollah Azizi Amir A. Khodahami |
| author_facet | Azizollah Azizi Amir A. Khodahami |
| author_sort | Azizollah Azizi |
| collection | DOAJ |
| description | We propose an approach to find out when a self-gravitating system is in a quasi-equilibrium state. This approach is based on a comparison between two quantities identifying behavior of the system: a measure of interactions intensity and the area. Gravitational scattering cross section of the system, defined by using the two-particle scattering cross section formula, is considered as the measure of interactions intensity here. A quasi-equilibrium state of such system is considered as a state when there is a balance between these two quantities. As a result, we obtain an equation which relates density and temperature for such a system in the non-relativistic classical limit. This equation is consistent with the TOV equation as expected. |
| first_indexed | 2024-04-12T23:46:44Z |
| format | Article |
| id | doaj.art-2d5049a34e4c47aa9145f01774837608 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-04-12T23:46:44Z |
| publishDate | 2022-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-2d5049a34e4c47aa9145f017748376082022-12-22T03:11:51ZengElsevierPhysics Letters B0370-26932022-10-01833137334An approach to the quasi-equilibrium state of a self-gravitating systemAzizollah Azizi0Amir A. Khodahami1Corresponding author.; Department of Physics, Shiraz University, Shiraz 71949-84795, IranDepartment of Physics, Shiraz University, Shiraz 71949-84795, IranWe propose an approach to find out when a self-gravitating system is in a quasi-equilibrium state. This approach is based on a comparison between two quantities identifying behavior of the system: a measure of interactions intensity and the area. Gravitational scattering cross section of the system, defined by using the two-particle scattering cross section formula, is considered as the measure of interactions intensity here. A quasi-equilibrium state of such system is considered as a state when there is a balance between these two quantities. As a result, we obtain an equation which relates density and temperature for such a system in the non-relativistic classical limit. This equation is consistent with the TOV equation as expected.http://www.sciencedirect.com/science/article/pii/S0370269322004683Quasi-equilibriumQuasi-stationarySelf-gravitating systemsGravitating systems |
| spellingShingle | Azizollah Azizi Amir A. Khodahami An approach to the quasi-equilibrium state of a self-gravitating system Physics Letters B Quasi-equilibrium Quasi-stationary Self-gravitating systems Gravitating systems |
| title | An approach to the quasi-equilibrium state of a self-gravitating system |
| title_full | An approach to the quasi-equilibrium state of a self-gravitating system |
| title_fullStr | An approach to the quasi-equilibrium state of a self-gravitating system |
| title_full_unstemmed | An approach to the quasi-equilibrium state of a self-gravitating system |
| title_short | An approach to the quasi-equilibrium state of a self-gravitating system |
| title_sort | approach to the quasi equilibrium state of a self gravitating system |
| topic | Quasi-equilibrium Quasi-stationary Self-gravitating systems Gravitating systems |
| url | http://www.sciencedirect.com/science/article/pii/S0370269322004683 |
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