Anomalous scaling in the random-force-driven Burgers equation: A Monte Carlo study

Details Anomalous scaling in the random-force-driven Burgers equation: A Monte Carlo study Anomalous scaling in the random-force-driven Burgers equation: A Monte Carlo study

2011-11-03

arxiv.org/abs/1111.2304v1

Nonlinear Sciences

Chaotic Dynamics

8 pages, 3 figures, talk given at the XXIX International Symposium on Lattice Field Theory, July 10-16, 2011, Squaw Valley, La

Scientific paper

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.

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