Energy transfer in small nano-sized systems can be very different from that in their
macroscopic counterparts due to reduced dimensionality, interaction with surfaces, disorder …

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 …

Integrable quantum systems of finite size are generically robust against weak enough
integrability-breaking perturbations, but become quantum chaotic and thermalizing if the …

Energy transport in one-dimensional chains of particles with three conservation laws is
generically anomalous and belongs to the Kardar-Parisi-Zhang dynamical universality class …

Using the framework of nonlinear fluctuating hydrodynamics (NFH), we examine equilibrium
spatio-temporal correlations in classical ferromagnetic spin chains with nearest neighbor …

We perform a numerical study of transport properties of a one-dimensional chain with
couplings decaying as an inverse power r−(1+ σ) of the intersite distance r and open …

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 investigate ergodicity, chaos, and thermalization for a one-dimensional classical gas of
hard rods confined to an external quadratic or quartic trap, which breaks microscopic …

We point out that Percus's collision integral for one-dimensional hard rods (Percus 1969
Phys. Fluids12 1560–3) does not preserve the thermal equilibrium state in an external …

We show that the quasiparticle kinetic theory for quantum and classical Calogero models
reduces to the free-streaming Boltzmann equation. We reconcile this simple emergent …