https://doi.org/10.1140/epjp/s13360-023-04043-9
Regular Article
Is relativistic transformation for thermodynamic quantities possible?
Center of Astrophysics and Department of Physics, KLS Gogte Institute of Technology, 590008, Udyambag, Belagavi, Karnataka, India
Received:
22
September
2022
Accepted:
27
April
2023
Published online:
19
May
2023
For thermodynamic quantities, different relativistic transformations have been suggested by Plank–Einstein, Ott and Landsberg. In this article, relativistic thermodynamics has been discussed using partition function. For the discussion, quantum system of a particle in 3-D box has been considered. All known relativistic transformations are applied to this system to discuss the consistency of thermodynamic quantities in different frames. For this system, the invariance of entropy yields a new temperature and pressure transformations as 
and 
, respectively. Though this transformation has been obtained for a single particle system, the validity of this transformation has been tested for mono-atomic gas with spin-less particles and black-body.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
