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 ...

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 ...

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. ...

Applying ideas of statistical mechanics in ecology have recently received quite some attention. The entropy maximization (EM) formalism looks particularly attractive, as it provides a simple algorithm ...

In quantum mechanics, the expression for entropy is usually taken to be -kTr(ρlnρ), where ρ is the density matrix. The convention first appears in Von Neumann's Mathematical Foundations of Quantum ...