The Gibbs Fundamental Relation as a Tool for Relativity
When relativistic physics is lectured on, interest is focused on the behavior of mechanical and electromagnetic quantities during a reference frame change. However, not only mechanical and electromagnetic quantities transform during a reference frame change; thermodynamic and chemical quantities do...
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MDPI AG
2025-01-01
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Online Access: | https://www.mdpi.com/1099-4300/27/1/74 |
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author | Friedrich Herrmann Michael Pohlig |
author_facet | Friedrich Herrmann Michael Pohlig |
author_sort | Friedrich Herrmann |
collection | DOAJ |
description | When relativistic physics is lectured on, interest is focused on the behavior of mechanical and electromagnetic quantities during a reference frame change. However, not only mechanical and electromagnetic quantities transform during a reference frame change; thermodynamic and chemical quantities do too. We will study the transformations of temperature and chemical potential, show how to obtain the corresponding transformation equations with little effort, and exploit the fact that the energy conjugate extensive quantities, namely entropy and amount of substance, are Lorentz-invariant. |
format | Article |
id | doaj-art-344e9ab28a5b4076a5f4c7c58f0a301b |
institution | Kabale University |
issn | 1099-4300 |
language | English |
publishDate | 2025-01-01 |
publisher | MDPI AG |
record_format | Article |
series | Entropy |
spelling | doaj-art-344e9ab28a5b4076a5f4c7c58f0a301b2025-01-24T13:31:54ZengMDPI AGEntropy1099-43002025-01-012717410.3390/e27010074The Gibbs Fundamental Relation as a Tool for RelativityFriedrich Herrmann0Michael Pohlig1Faculty of Physics, Karlsruhe Institute of Technology, 76128 Karlsruhe, GermanyFaculty of Physics, Karlsruhe Institute of Technology, 76128 Karlsruhe, GermanyWhen relativistic physics is lectured on, interest is focused on the behavior of mechanical and electromagnetic quantities during a reference frame change. However, not only mechanical and electromagnetic quantities transform during a reference frame change; thermodynamic and chemical quantities do too. We will study the transformations of temperature and chemical potential, show how to obtain the corresponding transformation equations with little effort, and exploit the fact that the energy conjugate extensive quantities, namely entropy and amount of substance, are Lorentz-invariant.https://www.mdpi.com/1099-4300/27/1/74relativistic thermodynamicsentropychemical potentialGibbs fundamental relation |
spellingShingle | Friedrich Herrmann Michael Pohlig The Gibbs Fundamental Relation as a Tool for Relativity Entropy relativistic thermodynamics entropy chemical potential Gibbs fundamental relation |
title | The Gibbs Fundamental Relation as a Tool for Relativity |
title_full | The Gibbs Fundamental Relation as a Tool for Relativity |
title_fullStr | The Gibbs Fundamental Relation as a Tool for Relativity |
title_full_unstemmed | The Gibbs Fundamental Relation as a Tool for Relativity |
title_short | The Gibbs Fundamental Relation as a Tool for Relativity |
title_sort | gibbs fundamental relation as a tool for relativity |
topic | relativistic thermodynamics entropy chemical potential Gibbs fundamental relation |
url | https://www.mdpi.com/1099-4300/27/1/74 |
work_keys_str_mv | AT friedrichherrmann thegibbsfundamentalrelationasatoolforrelativity AT michaelpohlig thegibbsfundamentalrelationasatoolforrelativity AT friedrichherrmann gibbsfundamentalrelationasatoolforrelativity AT michaelpohlig gibbsfundamentalrelationasatoolforrelativity |