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

2011-04-07

arxiv.org/abs/1104.1435v2

Nonlinear Sciences

Chaotic Dynamics

11 pages, 3 figures; v2: references updated, added some clarifying comments on the applicability of Monte Carlo simulations an

Scientific paper

We present a new approach to determine numerically the statistical behavior of small-scale structures in hydrodynamic turbulence. Starting from the functional integral representation of the random-force-driven Burgers equation we show that Monte Carlo simulations allow us to determine the anomalous scaling of high-order moments of velocity differences. Given the general applicability of Monte Carlo methods, this opens up the possibility to address also other systems relevant to turbulence within this framework.

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