21 / 12 / 2022 - 12:00 – 12:30

Abdel Nasser Tawfik1, Ahmed E. Aboanbar2 and Amira Ghoneim2

1 Future University in Egypt

Extensive or Nonextensive Statistics

Abstract

Due to its availability and for the sake of simplicity, extensive additive Maxwell-Boltzmann statis- tics is widely almost-blindly utilized, whatever the degree of nonextensivity of the underlying ensemble would be. The various types of nonextensivity are mainly characterized by a categorical violation of the fourth Shannon–Khinchen additivity axiom. When comparing between the entropies deduced from Maxwell-Boltzmann, Tsallis, and generic statistics, for instance, we realize the essential role that the nonextensivity parameters play and the importance of applying appropriate statistics that manifests the statistical, informational, and thermodynamical nature of the underlying ensemble.