WEAKLY HARMONIC OSCILLATORS PERTURBED BY A CONSERVATIVE NOISE

• 成果类型: Article
• 署名作者: Bernardin, Cedric; Goncalves, Patricia; Jara, Milton
• 署名单位: Centre National de la Recherche Scientifique (CNRS); Universite Cote d'Azur; Universidade de Lisboa
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/17-AAP1330
• 发表日期: 2018
• 页码: 1315-1355
• 关键词: simple exclusion; superdiffusion; energy; fluctuations; SYSTEM; chain; limit

摘要

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