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arXiv · 1611.02849

Weakly harmonic oscillators perturbed by a conservative noise

Cedric Bernardin·Patricia Goncalves·Milton Jara
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Abstract

We consider a chain of weakly harmonic coupled oscillators perturbed by a conservative noise. We show that by tuning accordingly the coupling constant energy can diffuse like a Brownian motion or superdiffuse like a maximally 3/2-stable asymmetric L{\'e}vy process. For a critical value of the coupling, the energy diffusion is described by a family of L{\'e}vy processes which interpolates between these two processes.

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Cedric Bernardin, Patricia Goncalves, Milton Jara. 2016-11-09. Weakly harmonic oscillators perturbed by a conservative noise. https://arxiv.org/abs/1611.02849

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