In recent years, the study of heat to work conversion has been re-invigorated by
nanotechnology. Steady-state devices do this conversion without any macroscopic moving …

In this review paper we survey recent achievements in anomalous heat diffusion, while
highlighting open problems and research perspectives. First, we briefly recall the main …

Recent results on theoretical studies of heat conduction in low-dimensional systems are
presented. These studies are on simple, yet non-trivial, models. Most of these are classical …

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 …

The problem of characterizing the complexity of quantum dynamics—in particular of locally
interacting chains of quantum particles—will be reviewed and discussed from several …

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 …

We provide analytical and numerical evidence that Onsager reciprocal relations remain
valid for systems with broken time-reversal symmetry as is typically the case when a generic …

We study nonequilibrium steady states of the one-dimensional discrete nonlinear
Schrödinger equation. This system can be regarded as a minimal model for the stationary …

This manuscript contains the notes of the lectures given in July 2021 at the Summer School
“Fundamental Problems in Statistical Physics XV”, Bruneck, Italy. A pedagogical approach …

We consider far from equilibrium heat transport in chaotic billiard chains with noninteracting
charged particles in the presence of nonuniform transverse magnetic field. If half of the chain …