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, ...

Statistical mechanics is one of the pillars of modern physics. Ludwig Boltzmann (1844-1906) and Josiah Willard Gibbs (1839-1903) were its primary formulators. They both worked to establish a bridge ...

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. ...

For more than a century, gravity has been the stubborn outlier in physics, perfectly described on cosmic scales yet refusing to mesh with the quantum rules that govern everything else. A growing camp ...

Entropy is one of the most useful concepts in science but also one of the most confusing. This article serves as a brief introduction to the various types of entropy that can be used to quantify the ...

Entropy is surely one of the most intriguing and misunderstood concepts in all of physics. The entropy of the universe must always increase – so says the second law of thermodynamics. It’s a law that ...