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19 April 2024 |
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Is Multiscaling an Artifact in the Stochastically Forced Burgers Equation? | | Dhrubaditya Mitra
; Jeremie Bec
; Rahul Pandit
; Uriel Frisch
; | | Date: |
22 Jun 2004 | | Subject: | Chaotic Dynamics; Statistical Mechanics; Analysis of PDEs | nlin.CD cond-mat.stat-mech math.AP | | Abstract: | We study turbulence in the one-dimensional Burgers equation with a white-in-time, Gaussian random force that has a Fourier-space spectrum $sim 1/k$, 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. | | Source: | arXiv, nlin.CD/0406049 | | Other source: | [GID 378195] pmid16090175 | | Services: | Forum | Review | PDF | Favorites | |
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