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26 April 2024

» arxiv » 1409.6437

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From normal diffusion to superdiffusion of energy in the evanescent flip noise limit
Cédric Bernardin ; Patricia Gonçalves ; Milton Jara ; Makiko Sasada ; Marielle Simon ;
Date:	23 Sep 2014
Abstract:	We consider a harmonic chain perturbed by an energy conserving noise depending on a parameter $gamma$. When $gamma$ is of order one, the energy diffuses according to the standard heat equation after a space-time diffusive scaling. On the other hand, when $gamma=0$, 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 $gamma$.
Source:	arXiv, 1409.6437
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