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 …

There is no compelling reason imposing that the methods of statistical mechanics should be
restricted to the dynamical systems which follow the usual Boltzmann–Gibbs prescriptions …

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

Concepts, methods and techniques of statistical physics in the study of correlated, as well as
uncorrelated, phenomena are being applied ever increasingly in the natural sciences …

We consider nonequilibrium systems with complex dynamics in stationary states with large
fluctuations of intensive quantities (eg the temperature, chemical potential or energy …

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

The formalism of statistical mechanics can be generalised by starting from more general
measures of information than the Shannon entropy and maximising those subject to suitable …

Complex nonequilibrium systems are often effectively described by a “statistics of a
statistics”, in short, a “superstatistics”. We describe how to proceed from a given …

Superstatistics is a superposition of two different statistics relevant to driven nonequilibrium
systems with a stationary state and intensive parameter fluctuations. It contains Tsallis …

Analytical solutions of the Schrödinger equation for the generalized trigonometric Pöschl-
Teller potential by using an appropriate approximation to the centrifugal term within the …