Influence of weak anisotropy on scaling regimes in a model of advected vector field.pdf

The Seventh Small Triangle Meeting — Herl’any, September 17–20, 2006 Influence of weak anisotropy on scaling regimes in a model of advected vector field 1,2 1,3 4 4 E. Jurˇciˇsinov´a , M. Jurˇciˇsin , R. Remecky , M. Scholtz 1 Institute of Experimental Physics SAS, Watsonova 47, 04001 Koˇsice, Slovakia, 6 2 0 Laboratory of Information Technologies JINR, 141 980 Dubna, Russia, 0 3 Laboratory of Theoretical Physics JINR, 141 980 Dubna, Russia, 2 4 ˇ Department of Physics and Astrophysics, Institute of Physics, P.J. Saf´arik University, v Park Angelinum 9, 04001 Koˇsice, Slovakia o N 0 3 Abstract ] Influence of weak uniaxial small-scale anisotropy on the stability of inertial-range scaling regimes D in a model of a passive transverse vector field advected by an incompressible turbulent flow is in- C vestigated by means of the field theoretic renormalization group. Weak anisotropy means that . n parameters which describe anisotropy are chosen to be close to zero, therefore in all expressions it i is enough to leave only linear terms in anisotropy parameters. Turbulent fluctuations of the velocity l n field are taken to have the Gaussian statistics with zero mean and defined noise with finite correla- [ tions in time. It is shown that stability of the inertial-range scaling regimes in the three-dimensional 1