2001/02/13 by L. Ts. Adzhemyan, N. V. Antonov, Andrea Mazzino +5 · 1 citation
Earth and Planetary Sciences · Engineering · Environmental Science · Mathematics · Physics and Astronomy · #Anisotropy #Classical mechanics #Climate variability and models #Fluid Dynamics and Turbulent Flows #Geometry #Inertial frame of reference #Intermittency #Materials science #Mathematics #Mechanics #Meteorological Phenomena and Simulations #Optics #Physics #Quantum mechanics #Quantum nonlocality #Range (aeronautics) #Scaling #Statistical physics #Turbulence #nlin.CD
paper · pdf · doi:10.1209/epl/i2001-00351-x
published as Europhys. Lett 55 (6):801 (2001) · 4 pages, 1 figure
arxiv created 2001/02/13 · openalex publication_date 2001/09/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the scaling properties of a model of passive vector turbulence with pressure in the presence of a large-scale anisotropy. The leading scaling exponents of the structure functions are proven to be anomalous. The anisotropic exponents are organized in hierarchical families growing without bound with the degree of anisotropy. Nonlocality produces poles in the inertial-range dynamics corresponding to the dimensional scaling solution. The increase vs. the Péclet number of the hyperskewness and higher odd-dimensional ratios signals the persistence of anisotropy in the inertial range.