We show that the multifractal structure of fully developed turbulence does not affect the diffusion process but only induces a slight correction to the classical value 3/2 of the exponent v describing the variance versus time R^2(t)≈t^2v. We show that R^2n(t)≈t^2nv(n) with v(n) = v, i.e. there is no anomalous scaling of the moments of pair particles separation, and depends only on the exponent ζ1 related to the first moment of the velocity fluctuations.
Is Multifractal Structure Relevant for Turbulent Diffusion? / Crisanti, Andrea; G., Paladin; Vulpiani, Angelo. - In: PHYSICS LETTERS A. - ISSN 0375-9601. - STAMPA. - 126:(1987), pp. 120-122. [10.1016/0375-9601(87)90569-X]
Is Multifractal Structure Relevant for Turbulent Diffusion?
CRISANTI, Andrea;VULPIANI, Angelo
1987
Abstract
We show that the multifractal structure of fully developed turbulence does not affect the diffusion process but only induces a slight correction to the classical value 3/2 of the exponent v describing the variance versus time R^2(t)≈t^2v. We show that R^2n(t)≈t^2nv(n) with v(n) = v, i.e. there is no anomalous scaling of the moments of pair particles separation, and depends only on the exponent ζ1 related to the first moment of the velocity fluctuations.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
