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

Cédric Bernardin

Université Nice Sophia Antipolis

February 18, 2014

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.