Related Experiment Video
Updated: Jun 14, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Dynamical scaling and the finite-capacity anomaly in three-wave turbulence
Colm Connaughton1, Alan C Newell
1Centre for Complexity Science, University of Warwick, Gibbet Hill Road, Coventry CV4 7AL, United Kingdom. connaughtonc@gmail.com
Abstract:
We present a systematic study of the dynamical scaling process leading to the establishment of the Kolmogorov-Zakharov (KZ) spectrum in weak three-wave turbulence. In the finite-capacity case, in which the transient spectrum reaches infinite frequency in finite time, the dynamical scaling exponent is anomalous in the sense that it cannot be determined from dimensional considerations. As a consequence, the transient spectrum preceding the establishment of the steady state is steeper than the KZ spectrum. Constant energy flux is actually established from right to left in frequency space after the singularity of the transient solution. From arguments based on entropy production, a steeper transient spectrum is heuristically plausible.
More Related Videos
Related Concept Videos
Scaling
Turbulent Flow
Limits with Oscillating Discontinuities
Typical Model Studies
Design Example: Creating a Hydraulic Model of a Dam Spillway
Modeling and Similitude

