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

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

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