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 applicability of Monte Carlo methods, this opens up the possibility of also addressing other systems relevant to the turbulence within this framework.