Related Experiment Video
Updated: Aug 16, 2026

Analysis and Specification of Starch Granule Size Distributions
Published on: March 4, 2021
Is multiscaling an artifact in the stochastically forced Burgers equation?
Dhrubaditya Mitra1, Jérémie Bec, Rahul Pandit
1Centre for Condensed Matter Theory, Department of Physics, Indian Institute of Science, Bangalore.
Abstract:
We study turbulence in the one-dimensional Burgers equation with a white-in-time, Gaussian random force that has a Fourier-space spectrum approximately 1/k, where k is the wave number. From very high-resolution numerical simulations, in the limit of vanishing viscosity, we find evidence for multiscaling of velocity structure functions which cannot be falsified by standard tests. We find a new artifact in which logarithmic corrections can appear disguised as anomalous scaling and conclude that bifractal scaling is likely.
Related Concept Videos
Scaling
Multimachine Stability
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
Multicompartment Models: Overview
These models offer a more comprehensive representation of drug behavior in the body than one-compartment models. They accommodate the complexity of drug distribution,...
Design Example: Creating a Hydraulic Model of a Dam Spillway
The Squeeze Theorem