Journal
PHYSICS LETTERS A
Volume 368, Issue 6, Pages 486-490Publisher
ELSEVIER
DOI: 10.1016/j.physleta.2007.04.054
Keywords
turbulence; material lines; circulations; kraichnan model; dynamo; fractals
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We study material lines and passive vectors in a model of turbulent flow at infinite-Reynolds number, the Kraichnan-Kazantsev ensemble of velocities that are white-noise in time and rough (Holder continuous) in space. It is argued that the phenomenon of spontaneous stochasticity 14 generalizes to material lines and that conservation of circulations generalizes to a martingale property of the stochastic process of lines. (c) 2007 Elsevier B.V. All rights reserved.
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