Energy transport in stochastically perturbed lattice dynamics
  We consider lattice dynamics with a small stochastic perturbation of order &#949; and prove that for a space-time scale of order \varepsilon\^-1 the local spectral density (Wigner function) evolves according to a linear transport equation describing inelastic collisions. For an energy and momentum conserving chain the transport equation predicts a slow decay, as 1/\sqrt{t}, for the energy current correlation in equilibrium. This is in agreement with previous studies using a different method. 
Giada Basile (WIAS), Stefano Olla (CEREMADE), Herbert Spohn   (D-Mutu-ZM)