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 …

Metaphors, generalizations and unifications are natural and desirable ingredients of the
evolution of scientific theories and concepts. Physics, in particular, obviously walks along …

Providing an introduction to the theory of nonlinear Fokker-Planck equations, this book
discusses fundamental properties of transient and stationary solutions, emphasizing the …

The purpose of the present effort is threefold. Firstly, it is shown that there exists a principle,
that we call kinetical interaction principle (KIP), underlying the non-linear kinetics in particle …

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 domain of validity of standard thermodynamics and Boltzmann-Gibbs statistical
mechanics is focused on along a historical perspective. It is then formally enlarged in order …

Motivated by the hope that the thermodynamical framework might be extended to strongly
interacting statistical systems—complex systems in particular—a number of generalized …

A consistent generalization of statistical mechanics is obtained by applying the maximum
entropy principle to a trace-form entropy and by requiring that physically motivated …

In this work we show that it is possible to obtain a generalized statistical mechanics
(thermostatistics) based on Renyi entropy, to be maximized with adequate constraints. The …