Chaotic dynamics can be considered as a physical phenomenon that bridges the regular
evolution of systems with the random one. These two alternative states of physical …

General aspects of the Fluctuation–Dissipation Relation (FDR), and Response Theory are
considered. After analyzing the conceptual and historical relevance of fluctuations in …

The dynamics of realistic Hamiltonian systems has unusual microscopic features that are
direct consequences of its fractional space-time structure and its phase space topology. The …

We experimentally demonstrate the fluctuation theorem, which predicts appreciable and
measurable violations of the second law of thermodynamics for small systems over short …

The title of this book already says something about its contents and historical origin, but
since it is meant in a rigorous mathematical context, a few words of explanation may be …

Recent years have witnessed a growing interest in covariant Lyapunov vectors (CLVs)
which span local intrinsic directions in the phase space of chaotic systems. Here, we review …

A valuable introduction for newcomers as well as an important reference and source of
inspiration for established researchers, this book provides an up-to-date summary of central …

We generalize nonequilibrium integral equalities to situations involving absolutely
irreversible processes for which the forward-path probability vanishes and the entropy …

The Lorentz gas, a point particle making mirror-like reflections from an extended collection of
scatterers, has been a useful model of deterministic diffusion and related statistical …

The fluctuations in nonequilibrium systems are under intense theoretical and experimental
investigation. Topical'fluctuation relations' describe symmetries of the statistical properties of …