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 …

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 …

By considering generalized logarithm and exponential functions used in nonextensive
statistics, the four usual algebraic operators: addition, subtraction, product and division, are …

We perform a detailed study of the relaxation towards equilibrium in the Hamiltonian Mean-
Field model, a prototype for long-range interactions in N-particle dynamics. In particular, we …

We review the idea of generating non-extensive stationary distributions based on aaabstract
composition rules of the subsystem energies, in particular the parton cascade method, using …

We briefly review the present status of nonextensive statistical mechanics. We focus on (i)
the central equations of the formalism,(ii) the most recent applications in physics and other …

We develop the kinetic theory of collisionless relaxation for systems with long-range
interactions in relation to the statistical theory of Lynden-Bell. We treat the multi-level case …

We discuss the dynamics and thermodynamics of the Hamiltonian Mean Field model (HMF)
which is a prototypical system with long-range interactions. The HMF model can be seen as …

Finite-amplitude supernonlinear electron-acoustic waves (EAWs) are investigated under the
nonlinear Schrödinger (NLS) equation in a plasma system that is composed of cold electron …