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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...
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Published in: | Entropy (Basel, Switzerland) Switzerland), 2023-02, Vol.25 (2), p.315 |
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creator | Schmitz, Georg J Te Vrugt, Michael Haug-Warberg, Tore Ellingsen, Lodin Needham, Paul Wittkowski, Raphael |
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. |
doi_str_mv | 10.3390/e25020315 |
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subjects | Algebra Analysis anisotropic Hubble parameter Black holes black-hole entropy Chemical models Classical mechanics Degrees of freedom Equilibrium Euler homogeneity Gas laws (Thermodynamics) Geometry Heat Lorentz factor quantized space Quantum mechanics Quantum physics Quantum theory Radiation Relativity Statistical mechanics teoretisk filosofi Theoretical Philosophy Theory of relativity Thermodynamics ToE Unruh temperature |
title | Thermodynamics of an Empty Box |
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