Dispersion rates under finite mode Kolmogorov flows

• 成果类型: Article
• 署名作者: Cranston, M; Scheutzow, M
• 署名单位: University of Rochester; Technical University of Berlin
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• 发表日期: 2002
• 页码: 511-532
• 关键词: turbulent-diffusion

摘要

We consider the growth rate of a collection of passive tracers moving in the plane under the influence of a random, fluctuating, velocity field. The velocity field we consider is a finite mode approximation to Kolmogorov velocity fields, which are commonly used as models for turbulent diffusion. We show that the diameter of the body of passive tracers grows linearly in time under the influence of these velocity fields.