2003/11/11 by Hassan Chamati, H. Chamati, A. Ts. Djankova +4
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Advanced Statistical Methods and Models #FOS: Physical sciences #Financial Risk and Volatility Modeling #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0311234
11 pages, 1 figure. The present vesrion of the manuscript is larger. New references are added
openalex publication_date 2003/11/11 · arxiv created 2004/04/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Some results for the black-body radiation obtained in the context of the q-thermostatistics are analyzed on both thermodynamical and statistical-mechanical levels. Since the thermodynamic potentials can be expressed in terms of the Wright's special function an useful asymptotic expansion can be obtained. This allows the consideration of the problem away from the Boltzmann-Gibbs limit q=1. The role of non-extensivity, q<1, on the possible deviation from the Stefan-Boltzmann T4 behavior is considered. The application of some approximation schemes widely used in the literature to analyze the cosmic radiation is discussed.