title: Is multiscaling an artifact in the stochastically forced Burgers equation?
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.
authors.affiliation: Centre for Condensed Matter Theory, Department of Physics, Indian Institute of Science, Bangalore.
authors.forename: Dhrubaditya
authors.initials: D
authors.lastname: Mitra
authors.forename: Jérémie
authors.initials: J
authors.lastname: Bec
authors.forename: Rahul
authors.initials: R
authors.lastname: Pandit
authors.forename: Uriel
authors.initials: U
authors.lastname: Frisch