A new approach to the generalization of Planck’s law of black-body radiation
Highlights: 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. -- Abstract: 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.