Some Bounds upon Nonextensivity Parameter Using the Appropriate Generalized Distribution Functions
Ugur Tirnakli (Ege U.), Fevzi Buyukkilic (Ege U.), Dogan Demirhan (Ege, U.)
TL;DR
This paper summarizes generalized quantal distribution functions and uses a generalized Planck law to estimate bounds on the nonextensivity parameter q, aligning with previous results by Tsallis and Plastino.
Contribution
It introduces alternative bounds for the nonextensivity parameter q using generalized distribution functions and a generalized Planck law, expanding on prior research.
Findings
Estimated bounds for q parameter consistent with previous studies
Summarized applications of generalized quantal distribution functions
Validated results through comparison with established literature
Abstract
In this study, approximate generalized quantal distribution functions and their applications, which appeared in the literature so far, have been summarized. Making use of the generalized Planck radiation law, which have been obtained by the authors of the present manuscript [Physica A240 (1997) 657], some alternative bounds for the nonextensivity parameter has been estimated. It has been shown that these results are similar to those obtained by Tsallis et al. [Phys. Rev. E52 (1995) 1447] and by Plastino et al. [Phys. Lett. A207 (1995) 42].
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