Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2006-09-28
Nonlinear Sciences
Chaotic Dynamics
6 pages, 3 figures, talk given by M. Jurcisin at the conference "Mathematical Modeling and Computational Physics 2006", High T
Scientific paper
Influence of strong 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. Turbulent fluctuations of the velocity field are taken in the form of a 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 corrupted by the presence of anisotropy. A borderline dimension $d_c$ below which the stability of the scaling regime is not present is calculated as a function of anisotropy parameters.
Jurcisin Marian
Jurcisinova E.
Remecky R.
Scholtz Martin
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