Anomalous scaling in the random-force-driven Burgers equation: A Monte Carlo study
Chaotic Dynamics
2011-11-10 v1 Statistical Mechanics
High Energy Physics - Lattice
Fluid Dynamics
Abstract
We present a new approach to determine the small-scale statistical behavior of hydrodynamic turbulence by means of lattice simulations. Using the functional integral representation of the random-force-driven Burgers equation we show that high-order moments of velocity differences satisfy anomalous scaling. The general applicability of Monte Carlo methods provides the opportunity to study also other systems of interest within this framework.
Keywords
Cite
@article{arxiv.1111.2304,
title = {Anomalous scaling in the random-force-driven Burgers equation: A Monte Carlo study},
author = {David Mesterházy and Karl Jansen},
journal= {arXiv preprint arXiv:1111.2304},
year = {2011}
}
Comments
8 pages, 3 figures, talk given at the XXIX International Symposium on Lattice Field Theory, July 10-16, 2011, Squaw Valley, Lake Tahoe, CA