3/4 Fractional superdiffusion of energy in a system of harmonic   oscillators perturbed by a conservative noise
  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. 
Cedric Bernardin (JAD), Patricia Gon\c{c}alves (CMAT, PUC-Rio), Milton   Jara (IMPA)
cond-mat.stat-mech math.PR