TY - JOUR
T1 - A possible cosmological application of some thermodynamic properties of the black body radiation in n-dimensional Euclidean spaces
AU - Gonzalez-Ayala, Julian
AU - Perez-Oregon, Jennifer
AU - Cordero, Rubén
AU - Angulo-Brown, Fernando
N1 - Publisher Copyright:
© 2015 by the authors; licensee MDPI, Basel, Switzerland.
PY - 2015
Y1 - 2015
N2 - 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.
AB - 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.
KW - Black body radiation
KW - Cosmology
KW - n-dimensional Euclidean space
UR - http://www.scopus.com/inward/record.url?scp=84940551263&partnerID=8YFLogxK
U2 - 10.3390/e17074563
DO - 10.3390/e17074563
M3 - Artículo
SN - 1099-4300
VL - 17
SP - 4563
EP - 4581
JO - Entropy
JF - Entropy
IS - 7
ER -