Weakly harmonic oscillators perturbed by a conservative noise

2016/11/09 by Bernardin, Cedric, Goncalves, Patricia, Jara, Milton · 2 citations
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.1611.02849

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 Lévy process. For a critical value of the coupling, the energy diffusion is described by a family of Lévy processes which interpolates between these two processes.

Cited by

• Nonlinear fluctuations for a chain of weakly anharmonic oscillators with stochastic perturbation
• Stochastic oscillators out of equilibrium: scaling limits and correlation estimates

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