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

Cedric Bernardin, Patricia Gonçalves, Milton Jara

Published 2014-02-07, updated 2014-05-25Version 3

We consider a 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.