Anomalous large thermal conductivity has been observed numerically and experimentally in one- and two-dimensional systems. There is an open debate about the role of conservation of momentum. Weâ€¦ (More)

We consider lattice dynamics with a small stochastic perturbation of order Îµ and prove that for a space-time scale of order Îµ the local spectral density (Wigner function) evolves according to aâ€¦ (More)

Abstract. We introduce a model whose thermal conductivity diverges in dimension 1 and 2, while it remains finite in dimension 3. We consider a system of oscillators perturbed by a stochastic dynamicsâ€¦ (More)

Abstract. A linear Boltzmann equation is interpreted as the forward equation for the probability density of a Markov process (K(t), i(t), Y (t)) on (T Ã— {1, 2} Ã— R), where T is the twodimensionalâ€¦ (More)

We consider lattice dynamics with a small stochastic perturbation of order Îµ and prove that for a space-time scale of order Îµ the Wigner function evolves according to a linear transport equationâ€¦ (More)

We review recent rigorousmathematical results about the macroscopic behaviour of harmonic chains with the dynamics perturbed by a random exchange of velocities between nearest neighbor particles. Theâ€¦ (More)

We consider lattice dynamics with a small stochastic perturbation of order Îµ and prove that for a space-time scale of order Îµ the local spectral density (Wigner function) evolves according to aâ€¦ (More)