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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Bibliographic Details
Published in:Entropy (Basel, Switzerland) Switzerland), 2023-02, Vol.25 (2), p.315
Main Authors: Schmitz, Georg J, Te Vrugt, Michael, Haug-Warberg, Tore, Ellingsen, Lodin, Needham, Paul, Wittkowski, Raphael
Format: Article
Language:English
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
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Summary: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.
ISSN:1099-4300
1099-4300
DOI:10.3390/e25020315