Thermodynamics of an Empty Box
A gas in a box is perhaps the most important model system studied in thermodynamics and statistical mechanics. Usually, studies focus on the gas, whereas the box merely serves as an idealized confinement. The present article focuses on the box as the central object and develops a thermodynamic theor...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-02-01
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| Series: | Entropy |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1099-4300/25/2/315 |
| _version_ | 1827757537026375680 |
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| author | Georg J. Schmitz Michael te Vrugt Tore Haug-Warberg Lodin Ellingsen Paul Needham Raphael Wittkowski |
| author_facet | Georg J. Schmitz Michael te Vrugt Tore Haug-Warberg Lodin Ellingsen Paul Needham Raphael Wittkowski |
| author_sort | Georg J. Schmitz |
| collection | DOAJ |
| description | A gas in a box is perhaps the most important model system studied in thermodynamics and statistical mechanics. Usually, studies focus on the gas, whereas the box merely serves as an idealized confinement. The present article focuses on the box as the central object and develops a thermodynamic theory by treating the geometric degrees of freedom of the box as the degrees of freedom of a thermodynamic system. Applying standard mathematical methods to the thermodynamics of an empty box allows equations with the same structure as those of cosmology and classical and quantum mechanics to be derived. The simple model system of an empty box is shown to have interesting connections to classical mechanics, special relativity, and quantum field theory. |
| first_indexed | 2024-03-11T08:51:53Z |
| format | Article |
| id | doaj.art-75ca8757ada24935b7ac5b3f45c4e412 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-11T08:51:53Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-75ca8757ada24935b7ac5b3f45c4e4122023-11-16T20:23:47ZengMDPI AGEntropy1099-43002023-02-0125231510.3390/e25020315Thermodynamics of an Empty BoxGeorg J. Schmitz0Michael te Vrugt1Tore Haug-Warberg2Lodin Ellingsen3Paul Needham4Raphael Wittkowski5MICRESS Group, ACCESS e.V., Intzestr. 5, D-52072 Aachen, GermanyInstitut für Theoretische Physik, Center for Soft Nanoscience, Westfälische Wilhelms-Universität Münster, D-48149 Münster, GermanyDepartment of Chemical Engineering, Norwegian University of Science and Technology (NTNU), N-7491 Trondheim, NorwayDepartment of Chemical Engineering, Norwegian University of Science and Technology (NTNU), N-7491 Trondheim, NorwayDepartment of Philosophy, University of Stockholm, SE-106 91 Stockholm, SwedenInstitut für Theoretische Physik, Center for Soft Nanoscience, Westfälische Wilhelms-Universität Münster, D-48149 Münster, GermanyA gas in a box is perhaps the most important model system studied in thermodynamics and statistical mechanics. Usually, studies focus on the gas, whereas the box merely serves as an idealized confinement. The present article focuses on the box as the central object and develops a thermodynamic theory by treating the geometric degrees of freedom of the box as the degrees of freedom of a thermodynamic system. Applying standard mathematical methods to the thermodynamics of an empty box allows equations with the same structure as those of cosmology and classical and quantum mechanics to be derived. The simple model system of an empty box is shown to have interesting connections to classical mechanics, special relativity, and quantum field theory.https://www.mdpi.com/1099-4300/25/2/315Euler homogeneityUnruh temperatureanisotropic Hubble parameterquantized spaceLorentz factorblack-hole entropy |
| spellingShingle | Georg J. Schmitz Michael te Vrugt Tore Haug-Warberg Lodin Ellingsen Paul Needham Raphael Wittkowski Thermodynamics of an Empty Box Entropy Euler homogeneity Unruh temperature anisotropic Hubble parameter quantized space Lorentz factor black-hole entropy |
| title | Thermodynamics of an Empty Box |
| title_full | Thermodynamics of an Empty Box |
| title_fullStr | Thermodynamics of an Empty Box |
| title_full_unstemmed | Thermodynamics of an Empty Box |
| title_short | Thermodynamics of an Empty Box |
| title_sort | thermodynamics of an empty box |
| topic | Euler homogeneity Unruh temperature anisotropic Hubble parameter quantized space Lorentz factor black-hole entropy |
| url | https://www.mdpi.com/1099-4300/25/2/315 |
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