For systems with long-range interactions, the two-body potential decays at large distances
as V (r)∼ 1/rα, with α≤ d, where d is the space dimension. Examples are: gravitational …

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 …

The aim of this Book is to give an overview, based on the results of nearly three decades of
intensive research, of transient chaos. One belief that motivates us to write this book is that …

We review simple aspects of the thermodynamic and dynamical properties of systems with
long-range pairwise interactions (LRI), which decay as 1/rd+ σ at large distances r in d …

Different transient-chaos related phenomena of spatiotemporal systems are reviewed.
Special attention is paid to cases where spatiotemporal chaos appears in the form of chaotic …

The nonextensive statistical mechanics proposed by Tsallis is today an intense and growing
research field. Probability distributions which emerges from the nonextensive formalism (q …

We present a molecular dynamics test of the Central-Limit Theorem (CLT) in a paradigmatic
long-range-interacting many-body classical Hamiltonian system, the HMF model. We …

Systems with long-range interactions can reach a Quasi Stationary State (QSS) as a result of
a violent collisionless relaxation. If the system mixes well (ergodicity), the QSS can be …

Despite its centennial successes in describing physical systems at thermal equilibrium,
Boltzmann–Gibbs (BG) statistical mechanics have exhibited, in the last several decades …