We provide evidence of an extremely slow thermalization occurring in the discrete nonlinear
Schrödinger model. At variance with many similar processes encountered in statistical …

Non-equilibrium steady states for chains of oscillators (masses) connected by harmonic and
anharmonic springs and interacting with heat baths at different temperatures have been the …

We study a 1-dimensional chain of N weakly anharmonic classical oscillators coupled at its
ends to heat baths at different temperatures. Each oscillator is subject to pinning potential …

We consider a general network of harmonic oscillators driven out of thermal equilibrium by
coupling to several heat reservoirs at different temperatures. The action of the reservoirs is …

Fourier's law claims that the local energy current is proportional to the local gradient of
temperature and the ratio of these quantities, which is a function of the local temperature, is …

In this paper, we study the existence of densities for strongly degenerate stochastic
differential equations (SDEs) whose coefficients depend on time and are not globally …

We study a chain of four interacting rotors (rotators) connected at both ends to stochastic
heat baths at different temperatures. We show that for non-degenerate interaction potentials …

Complexity matching characterizes the role of information in interactions between systems
and can be traced back to the 1957 Introduction to Cybernetics by Ross Ashby. We argue …

We discuss, in the context of energy flow in high-dimensional systems and Kolmogorov–
Arnol'd–Moser (KAM) theory, the behavior of a chain of rotators (rotors) which is purely …

In this short note, we consider a system of two rotors, one of which interacts with a Langevin
heat bath. We show that the system relaxes to its invariant measure (steady state) no faster …