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Updated: Jul 11, 2026

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
Published on: February 22, 2018
Scaling properties of the two-dimensional randomly stirred Navier-Stokes equation
Andrea Mazzino1, Paolo Muratore-Ginanneschi, Stefano Musacchio
1Department of Physics, University of Genova, and INFN, CNISM, Genova Section, Via Dodecaneso 33, I-16146, Genova, Italy. mazzino@fisica.unige.it
Abstract:
We inquire into the scaling properties of the 2D Navier-Stokes equation sustained by a force field with Gaussian statistics, white noise in time, and with a power-law correlation in momentum space of degree 2 - 2 epsilon. This is at variance with the setting usually assumed to derive Kraichnan's classical theory. We contrast accurate numerical experiments with the different predictions provided for the small epsilon regime by Kraichnan's double cascade theory and by renormalization group analysis. We give clear evidence that for all epsilon, Kraichnan's theory is consistent with the observed phenomenology. Our results call for a revision in the renormalization group analysis of (2D) fully developed turbulence.
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