On the Kaniadakis distributions applied in statistical physics and natural sciences

TL;DR

This paper explores the application of Kaniadakis distributions, based on inverse hyperbolic sine functions, to generalize constitutive relations in statistical physics and natural sciences.

Contribution

It introduces the use of $ta$-deformed functions to extend constitutive relations and demonstrates their applications in physical and natural science contexts.

Findings

Kaniadakis distributions effectively generalize constitutive relations.

Applications show relevance in statistical physics and natural sciences.

The approach offers new tools for modeling complex systems.

Abstract

Constitutive relations are fundamental and essential to characterize physical systems. By utilizing the $\kappa$-deformed functions, some constitutive relations are generalized. We here show some applications of the Kaniadakis distributions based on the inverse hyperbolic sine function to some topics belonging to the realm of statistical physics and natural science.