2011/11/03 by D. Mesterházy, Mesterházy, David, Karl Jansen +1
Earth and Planetary Sciences · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #High Energy Physics - Lattice (hep-lat) #Meteorological Phenomena and Simulations #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1111.2304
openalex publication_date 2011/11/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a new approach to determine the small-scale statistical behavior\nof hydrodynamic turbulence by means of lattice simulations. Using the\nfunctional integral representation of the random-force-driven Burgers equation\nwe show that high-order moments of velocity differences satisfy anomalous\nscaling. The general applicability of Monte Carlo methods provides the\nopportunity to study also other systems of interest within this framework.\n