Abstract
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.
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Bernardin, C., Gonçalves, P. & Jara, M. 3/4-Fractional Superdiffusion in a System of Harmonic Oscillators Perturbed by a Conservative Noise. Arch Rational Mech Anal 220, 505–542 (2016). https://doi.org/10.1007/s00205-015-0936-0
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DOI: https://doi.org/10.1007/s00205-015-0936-0