Turbulent Diffusion of Lines and Circulations
نویسنده
چکیده
We study material lines and passive vectors in a model of turbulent flow at infiniteReynolds number, the Kraichnan-Kazantsev ensemble of velocities that are white-noise in time and rough (Hölder continuous) in space. It is argued that the phenomenon of “spontaneous stochasticity” generalizes to material lines and that conservation of circulations generalizes to a “martingale property” of the stochastic process of lines. PACS: 47.27.Jv, 52.65.Kj, 02.50.Fz, 05.45.Df keywords: turbulence, material lines, circulations, Kraichnan model, dynamo, fractals
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تاریخ انتشار 2007