q-Thermostatistics and the black-body radiation problem

Abstract

We give an exact information-theory treatment of the $n$-dimensional black-body radiation process in a non-extensive scenario. We develop a $q$ generalization of the laws of i) Stefan Boltzmann, ii) Planck, and iii) Wien, and show that conventional, canonical results are obtained at temperatures above $1K$. Classical relationships between radiation, pressure, and internal energy are recovered (independently of the $q$-value). Analyzing the particles' density for $q\approx 1$ we see that the non-extensive parameter $q$ introduces a fictitious chemical potential. We apply our results to experimental data on the cosmic microwave background and reproduce it with acceptable accuracy for different temperatures (each one associated to a particular $q$ value

28 pages, 6 Figures

Cited by in corpus (6)

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• The biparametric Fisher-Rényi complexity measure and its application to the multidimensional blackbody radiation
• Biparametric complexities and the generalized Planck radiation law