The Tolman-Ehrenfest effect for an ideal gas in a background of time-independent electric, magnetic, and gravitational fields
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911816793194496 |
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| author | Weldon, H. Arthur |
| author_facet | Weldon, H. Arthur |
| contents | The statistical mechanics of an ideal gas of point particles moving in a time independent background metric with $g_{0j}\neq 0$ is investigated. An explicit calculation shows that when there is no background electrostatic or magnetostatic field the thermodynamic pressure, energy density, and thermally averaged energy-momentum tensor depend on temperature and chemical potential only through the ratios $T_{0}/\sqrt{g_{00}}$ and $μ_{0}/\sqrt{g_{00}}$. A background magnetostatic field does not change this, however with a background electrostatic field the previous results are multiplied by a factor $\exp(-eA_{0}/T_{0})$, which is an exception to the strict Tolman-Ehrenfest rule because the system is open. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_18652 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Tolman-Ehrenfest effect for an ideal gas in a background of time-independent electric, magnetic, and gravitational fields Weldon, H. Arthur High Energy Physics - Theory The statistical mechanics of an ideal gas of point particles moving in a time independent background metric with $g_{0j}\neq 0$ is investigated. An explicit calculation shows that when there is no background electrostatic or magnetostatic field the thermodynamic pressure, energy density, and thermally averaged energy-momentum tensor depend on temperature and chemical potential only through the ratios $T_{0}/\sqrt{g_{00}}$ and $μ_{0}/\sqrt{g_{00}}$. A background magnetostatic field does not change this, however with a background electrostatic field the previous results are multiplied by a factor $\exp(-eA_{0}/T_{0})$, which is an exception to the strict Tolman-Ehrenfest rule because the system is open. |
| title | The Tolman-Ehrenfest effect for an ideal gas in a background of time-independent electric, magnetic, and gravitational fields |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2403.18652 |