Deriving macroscopic phenomenological laws of irreversible thermodynamics from simple
microscopic models is one of the tasks of non-equilibrium statistical mechanics. We consider …

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

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 …

We discuss the thermal conductivity of a chain of coupled rotators, showing that it is the first
example of a 1D nonlinear lattice exhibiting normal transport properties in the absence of an …

The process of heat conduction in a chain with a periodic potential of nearest-neighbor
interaction is investigated by means of molecular dynamics simulation. It is demonstrated …

We consider steady-state heat conduction across a quantum harmonic chain connected to
reservoirs modeled by infinite collection of oscillators. The heat, Q, flowing across the …

Under quite general conditions, we prove that for classical many-body lattice Hamiltonians
in one dimension (1D) total momentum conservation implies anomalous conductivity in the …

We study a generic but simple nonintegrable quantum many-body system of locally
interacting particles, namely, a kicked-parameter (t, V) model of spinless fermions on a one …

The prediction of the temporal dynamics of chaotic systems is challenging because
infinitesimal perturbations grow exponentially. The analysis of the dynamics of infinitesimal …

We examine the interplay of surface and volume effects in systems undergoing heat flow. In
particular, we compute the thermal conductivity in the Fermi-Pasta-Ulam β model as a …