2006/11/30 by E. Jurcisinova, Jurcisinova, E., M. Jurcisin +5
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #nlin.CD
paper · pdf · doi:10.48550/arxiv.nlin/0611060
6 pages, 4 figures, talk presented by M. Scholtz at the Conference "The Small Triangle Meeting on Theoretical Physics 2006", September 17-20 2006, Herl'any, Slovakia; will be published in proceedings of the conference
arxiv created 2006/11/30 · arxiv updated 2009/12/01
Influence of weak uniaxial small-scale anisotropy on the stability of inertial-range scaling regimes in a model of a passive transverse vector field advected by an incompressible turbulent flow is investigated by means of the field theoretic renormalization group. Weak anisotropy means that parameters which describe anisotropy are chosen to be close to zero, therefore in all expressions it is enough to leave only linear terms in anisotropy parameters. Turbulent fluctuations of the velocity field are taken to have the Gaussian statistics with zero mean and defined noise with finite correlations in time. It is shown that stability of the inertial-range scaling regimes in the three-dimensional case is not destroyed by anisotropy but the corresponding stability of the two-dimensional system can be destroyed even by the presence of weak anisotropy. A borderline dimension dc below which the stability of the scaling regime is not present is calculated as a function of anisotropy parameters.