# From Normal Diffusion to Superdiffusion of Energy in the Evanescent Flip Noise Limit

Cédric Bernardin, Patrícia Gonçalves, Milton Jara, Makiko Sasada, Marielle Simon

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

## Abstract

We consider a harmonic chain perturbed by a stochastic noise which conserves the energy and a second quantity called the volume, and destroys all the other ones. We then add to this model a second energy conserving noise depending on a parameter $$\gamma$$γ, that annihilates the volume conservation. When $$\gamma$$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 $$\gamma =0$$γ=0, the energy superdiffuses according to a $$3/4$$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 $$\gamma$$γ.

Original language English 1327-1368 42 Journal of Statistical Physics 159 6 https://doi.org/10.1007/s10955-015-1235-8 Published - 2015 Jun 28

## Keywords

• Anomalous diffusion
• Equilibrium fluctuations
• Fourier’s law

## ASJC Scopus subject areas

• Statistical and Nonlinear Physics
• Mathematical Physics