Scale ratios, statistical symmetries and intermittency
IRPHE, UMR 6594 CNRS, Universités Aix-Marseille I & II, Centre de Saint-Jérôme, S.252 - 13397 Marseille Cedex 20, France
Accepted: 2 July 1998
We address the statistical implications of absence of preferred scale ratio in stochastic extended systems. We identify in this case the only possible functions governing the scaling exponents of structure functions. This enables us to determine the nature of intermittency when no scale ratio is privileged, to clarify the conditions relevant to this regime and to reveal hidden preferred scale ratio in various works of literature.
PACS: 47.27.Gs – Isotropic turbulence; homogeneous turbulence / 05.40.+j – Fluctuation phenomena, random processes, and Brownian motion
© EDP Sciences, 1998