arXiv 1111.23042011-11-03nlin.CDcond-mat.stat-mechhep-latphysics.flu-dyn

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

David Mesterházy, Karl Jansen

备注：: 8 pages, 3 figures, talk given at the XXIX International Symposium on Lattice Field Theory, July 10-16, 2011, Squaw Valley, Lake Tahoe, CA

英文摘要：

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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