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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Main Authors: Friedrich Herrmann, Michael Pohlig
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Entropy
Subjects:
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
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institution Kabale University
issn 1099-4300
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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
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