Entropy appears in many contexts (thermodynamics, statistical mechanics, information
theory, measure-preserving dynamical systems, topological dynamics, etc.) as a measure of …

The nonadditive entropy S q has been introduced in 1988 focusing on a generalization of
Boltzmann–Gibbs (BG) statistical mechanics. The aim was to cover a (possibly wide) class of …

Entropy is ubiquitous in physics, and it plays important roles in numerous other disciplines
ranging from logic and statistics to biology and economics. However, a closer look reveals a …

Statistical mechanics constitutes one of the pillars of contemporary physics. Recognized as
such-together with mechanics (classical, quantum, relativistic), electromagnetism and …

Definition The concept of entropy constitutes, together with energy, a cornerstone of
contemporary physics and related areas. It was originally introduced by Clausius in 1865 …

The Boltzmann–Gibbs (BG) statistical mechanics constitutes one of the pillars of
contemporary theoretical physics. It is constructed upon the other pillars—classical …

We introduce a nonextensive entropy functional whose optimization under simple
constraints (mean values of some standard quantities) yields stretched exponential …

We discuss the modifications of standard, extensive, thermodynamics that long-range
interactions are expected to introduce. In addition to that, by using the generalized entropic …

About 160 years ago, the concept of entropy was introduced in thermodynamics by Rudolf
Clausius. Since then, it has been continually extended, interpreted, and applied by …

It is rather paradoxical that, although entropy is one of the most important quantities in
physics, its main properties are rarely listed in the usual textbooks on statistical mechanics …