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Entropy 2015, 17(7), 4563-4581; doi:10.3390/e17074563

A Possible Cosmological Application of Some Thermodynamic Properties of the Black Body Radiation in n-Dimensional Euclidean Spaces

Departamento de Física, Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Edificio 9, CP 07738, México
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Academic Editor: George Ruppeiner
Received: 18 March 2015 / Revised: 25 May 2015 / Accepted: 16 June 2015 / Published: 29 June 2015
(This article belongs to the Special Issue Geometry in Thermodynamics)
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Abstract

In this work, we present the generalization of some thermodynamic properties of the black body radiation (BBR) towards an n-dimensional Euclidean space. For this case, the Planck function and the Stefan–Boltzmann law have already been given by Landsberg and de Vos and some adjustments by Menon and Agrawal. However, since then, not much more has been done on this subject, and we believe there are some relevant aspects yet to explore. In addition to the results previously found, we calculate the thermodynamic potentials, the efficiency of the Carnot engine, the law for adiabatic processes and the heat capacity at constant volume. There is a region at which an interesting behavior of the thermodynamic potentials arises: maxima and minima appear for the n—dimensional BBR system at very high temperatures and low dimensionality, suggesting a possible application to cosmology. Finally, we propose that an optimality criterion in a thermodynamic framework could be related to the 3—dimensional nature of the universe. View Full-Text
Keywords: black body radiation; n – dim Euclidean space; cosmology black body radiation; n – dim Euclidean space; cosmology
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Gonzalez-Ayala, J.; Perez-Oregon, J.; Cordero, R.; Angulo-Brown, F. A Possible Cosmological Application of Some Thermodynamic Properties of the Black Body Radiation in n-Dimensional Euclidean Spaces. Entropy 2015, 17, 4563-4581.

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