Thermodynamic Properties in Higher-Derivative Electrodynamics

In this work, we study the thermodynamic properties of a photon gas in a heat bath within the context of higher-derivative electrodynamics. Specifically, we analyze Podolsky’s theory and its extension involving the Lorentz symmetry violation recently proposed in the literature. First, we use the con...

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Bibliographic Details
Published in:Brazilian journal of physics 2021-06, Vol.51 (3), p.820-830
Main Authors: Araújo Filho, A. A., Maluf, R. V.
Format: Article
Language:English
Subjects:
Black body radiation
Context
Derivatives
Electrodynamics
Free energy
Mathematical analysis
Particles and Fields
Partitions (mathematics)
Physics
Physics and Astronomy
Specific heat
Thermodynamic properties
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Summary:In this work, we study the thermodynamic properties of a photon gas in a heat bath within the context of higher-derivative electrodynamics. Specifically, we analyze Podolsky’s theory and its extension involving the Lorentz symmetry violation recently proposed in the literature. First, we use the concept of the number of available states of the system in order to construct the partition function. Next, we calculate the main thermodynamic functions: Helmholtz free energy, mean energy, entropy, and heat capacity. In particular, we verify that there exist significant changes in heat capacity and mean energy due to Lorentz violation. Additionally, the modification of the black body radiation and the correction to the Stefan–Boltzmann law in the context of the primordial inflationary universe are provided for both theories as well.
ISSN:0103-9733
1678-4448
DOI:10.1007/s13538-021-00880-0