Abstract
The Beck-Cohen superstatistics became an important theory in the scenario of complex systems because it generates distributions representing regions of a nonequilibrium system, characterized by different temperatures , leading to a probability distribution . In superstatistics, some classes have been most frequently considered for , like , inverse, and log-normal ones. Herein we investigate the superstatistics resulting from a distribution through a modification of the usual by introducing a real index (). In this way, one covers two common and relevant distributions as particular cases, proportional to the -exponential () and the stretched exponential (). Furthermore, an associated generalized entropic form is found. Since these two particular-case distributions have been frequently found in the literature, we expect that the present results should be applicable to a wide range of classes of complex systems.
- Received 19 September 2022
- Accepted 23 December 2022
DOI:https://doi.org/10.1103/PhysRevE.107.014132
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