From normal diffusion to superdiffusion of energy in the evanescent flip noise limit

We consider a harmonic chain perturbed by an energy conserving noise depending on a parameter $γ$. When $γ$ is of order one, the energy diffuses according to the standard heat equation after a space-time diffusive scaling. On the other hand, when $γ=0$, the energy superdiffuses according to a 3/4 fractional heat equation after a subdiffusive space-time scaling. In this paper, we study the existence of a crossover between these two regimes as a function of $γ$.

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