Weakly harmonic oscillators perturbed by a conservative noise
Probability
2016-11-10 v1 Statistical Mechanics
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1611.02849,
title = {Weakly harmonic oscillators perturbed by a conservative noise},
author = {Cedric Bernardin and Patricia Goncalves and Milton Jara},
journal= {arXiv preprint arXiv:1611.02849},
year = {2016}
}
Comments
arXiv admin note: text overlap with arXiv:1402.1562