This paper is a review of results which have been recently obtained by applying
mathematical concepts drawn, in particular, from differential geometry and topology, to the …

This book is an introduction to the applications in nonequilibrium statistical mechanics of
chaotic dynamics, and also to the use of techniques in statistical mechanics important for an …

Phase transitions are among the most impressive phenomena occurring in nature. They are
an example of emergent behavior, ie, of collective properties having no direct counterpart in …

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 …

Within a microcanonical scenario we numerically study an N-sized linear chain classical
inertial XY model including ferromagnetic couplings which decrease with distance as r− α …

We study the largest Lyapunov exponent λ and the finite size effects of a system of N fully
coupled classical particles, which shows a second order phase transition. Slightly below the …

The Hamiltonian dynamics of the classical planar Heisenberg model is numerically
investigated in two and three dimensions. In three dimensions peculiar behaviors are found …

We briefly review some of the most relevant results that our group obtained in the past, while
investigating the dynamics of the Fermi–Pasta–Ulam (FPU) models. The first result is the …

We characterize thermalization slowing down of Josephson junction networks in one, two,
and three spatial dimensions for systems with hundreds of sites by computing their entire …

Models of classical Josephson junction chains turn integrable in the limit of large energy
densities or small Josephson energies. Close to these limits the Josephson coupling …