A new approach to the generalization of Planck’s law of black-body radiation

In this study, Planck’s law of black-body radiation has been modified within the framework of nonextensive statistical mechanics. The average energy of radiation has been derived by introducing the nonextensive partition function in the statistical relation of internal energy. The spectral energy de...

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Bibliographic Details
Published in:Annals of physics 2018-08, Vol.395, p.317-325
Main Authors: Choudhury, Sreeja Loho, Paul, R.K.
Format: Article
Language:English
Subjects:
ABSORPTION SPECTROSCOPY
APPROXIMATIONS
ASYMPTOTIC SOLUTIONS
BLACKBODY RADIATION
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
COMPARATIVE EVALUATIONS
FACTORIZATION
Generalized Planck’s radiation law
Nonextensive partition function
Nonextensive statistical mechanics
PARTITION FUNCTIONS
PLANCK LAW
Spectral energy density
Spectral radiance
STATISTICAL MECHANICS
Stefan–Boltzmann law
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Summary:In this study, Planck’s law of black-body radiation has been modified within the framework of nonextensive statistical mechanics. The average energy of radiation has been derived by introducing the nonextensive partition function in the statistical relation of internal energy. The spectral energy density and spectral radiance have also been computed. The derived expression has been compared with the earlier developed approximate schemes (i.e. asymptotic approach and factorization approach) and with the recently obtained exact result. We utilize the exact and approximate Stefan–Boltzmann laws in order to compare with the new approach introduced here. •A new approximation approach to generalized Planck’s radiation law has been developed.•Average energy of radiation derived using the nonextensive partition function.•The spectral energy density and spectral radiance have been computed.•The present approach has been compared with approximate schemes and the exact method.•Deviations of present approach and AA and FA schemes from exact result computed.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2018.06.004