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

• 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
• ISSN: 0003-4916; 1096-035X
• DOI: 10.1016/j.aop.2018.06.004

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.