Related Experiment Video
Updated: Aug 1, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Anomalous scaling of a passive scalar in turbulence and in equilibrium
Gregory Falkovich1, Alexander Fouxon
1Physics of Complex Systems, Weizmann Institute of Science, Rehovot 76100, Israel.
Abstract:
We analyze the multipoint correlation functions of a tracer in an incompressible flow at scales far exceeding the scale L at which fluctuations are generated (quasiequilibrium domain) and compare them with the correlation functions at scales smaller than L (turbulence domain). We demonstrate that scale invariance can be broken in the equilibrium domain and trace this breakdown to the statistical integrals of motion (zero modes) as has been done before for turbulence. Employing the Kraichnan model of short-correlated velocity we identify the new type of zero modes, which break scale invariance and determine an anomalously slow decay of correlations at large scales.
Related Concept Videos
Scaling
Newtonian Fluid: Problem Solving
A velocity gradient forms within the fluid when a Newtonian fluid is placed between two parallel plates, with...
Dimensionless Groups in Fluid Mechanics
Modeling and Similitude
Typical Model Studies
Design Example: Creating a Hydraulic Model of a Dam Spillway

