Statistical mechanics provides the framework for deriving macroscopic thermodynamic properties from the microscopic characteristics of matter. Central to this discipline is the concept of entropy, ...

Kaniadakis statistics represents a significant extension of classical statistical mechanics. At its core is the concept of a κ-deformation, which generalises the traditional Boltzmann–Gibbs framework ...

This is why statistical thermodynamics and Claude Shannon’s information theory are essentially the same theory: Shannon’s entropy, called information entropy, is a measure of how many states a system ...