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arXiv · 1111.2304

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

David Mesterházy·Karl Jansen
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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.

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David Mesterházy, Karl Jansen. 2011-11-03. Anomalous scaling in the random-force-driven Burgers equation: A Monte Carlo study. https://arxiv.org/abs/1111.2304

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