Planck radiation law and Einstein coefficients reexamined in Kaniadakis κ statistics.

Abstract

Blackbody radiation is reconsidered using the counterpart of the Bose-Einstein distribution in the κ statistics arising from the Kaniadakis entropy. The generalized Planck radiation law is presented and compared to the usual law, to which it reduces in the limiting case κ→0. Effective Einstein's coefficients of emission and absorption are defined in terms of the Kaniadakis parameter κ. It is shown that the Kaniadakis statistics keeps unchanged the first Einstein coefficient A while the second coefficient B admits a generalized form within the present theoretical framework.