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 …

Studies of thermal transport in long-range (LR) interacting systems are currently particularly
challenging. The main difficulties lie in the choice of boundary conditions and the definition …

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 perform a detailed study of heat transport in one-dimensional long-ranged anharmonic
oscillator systems, such as the long-ranged Fermi-Pasta-Ulam-Tsingou model. For these …

We consider one-dimensional systems of all-to-all harmonically coupled particles with
arbitrary masses, subject to two Langevin thermal baths. The couplings correspond to the …

Context. Recent numerical results seem to suggest that, in certain regimes of typical particle
velocities, when the post-Newtonian (PN) force terms are included, the gravitational N-body …

We present a simulation study of the one-dimensional φ 4 lattice theory with long-range
interactions decaying as an inverse power r−(1+ σ) of the intersite distance r, σ> 0. We …

We review the state of the art of the problem of heat conduction in one dimensional
nonlinear lattices. The peculiar role of finite size and time corrections to the predictions of the …