3/4-Fractional superdiffusion in a system of harmonic oscillators perturbed by a conservative noise

Non-equilibrium Dynamics and Random Matrices
Topic:3/4-Fractional superdiffusion in a system of harmonic oscillators perturbed by a conservative noise
Speaker:CĂ©dric Bernardin
Affiliation:Université Nice Sophia Antipolis
Date:Tuesday, February 18
Time/Room:2:00pm - 3:00pm/S-101
Video Link:https://video.ias.edu/nedrm/2014/0218-CedricBernardin

We consider an harmonic chain perturbed by an energy conserving noise and show that after a space-time rescaling the energy-energy correlation function is given by the solution of a skew-fractional heat equation with exponent 3/4.