Superdiffusion of energy in a chain of harmonic oscillators with noise
  We consider a one dimensional infinite chain of har- monic oscillators whose dynamics is perturbed by a stochastic term conserving energy and momentum. We prove that in the unpinned case the macroscopic evolution of the energy converges to a fractional diffusion. For a pinned system we prove that energy evolves diffusively, generalizing some of the results of [4]. 
Milton Jara, Tomasz Komorowski, Stefano Olla
cond-mat.stat-mech math-ph math.MP