Is Multiscaling an Artifact in the Stochastically Forced Burgers Equation?
Abstract
We study turbulence in the onedimensional Burgers equation with a whiteintime, Gaussian random force that has a Fourierspace spectrum ∼1/k, where k is the wave number. From very highresolution 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.
 Publication:

Physical Review Letters
 Pub Date:
 May 2005
 DOI:
 10.1103/PhysRevLett.94.194501
 arXiv:
 arXiv:nlin/0406049
 Bibcode:
 2005PhRvL..94s4501M
 Keywords:

 47.27.Gs;
 05.45.a;
 Isotropic turbulence;
 homogeneous turbulence;
 Nonlinear dynamics and chaos;
 Nonlinear Sciences  Chaotic Dynamics;
 Condensed Matter  Statistical Mechanics;
 Mathematics  Analysis of PDEs
 EPrint:
 previous version replaced, with major changes