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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

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 …