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 ...

The statistical entropy of the multivariate distribution that arises in sampling from an ecological community is distinct from, but related to, the entropy arising from the diversity between species.

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, ...

It is known that, as statistical methods, the maximum entropy estimation is equivalent to the maximum likelihood estimation with an exponential distribution. But, it is seen that the relation between ...

To many physicists, “Tsallis entropy” has been a revolution in statistical mechanics. To others, it is merely a useful fitting technique. Jon Cartwright tries to make sense of this world of disorder. ...

In the context of Boltzmann-Gibbs statistical mechanics, this entropy is extensive, i.e., it grows proportionally to the size of the system. However, at critical points and phase transitions, this ...

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 ...