caa a22 4500 467910456 CHVBK 20180406152847.0 cr unu---uuuuu 170328e20060301xx s 000 0 eng 10.1007/s11232-006-0048-y doi (NATIONALLICENCE)springer-10.1007/s11232-006-0048-y Anomalous scaling in the model of turbulent advection of a vector field [Elektronische Daten] [L. Adzhemyan, S. Novikov] We consider the model of turbulent advection of a passive vector field ϕ by a two-dimensional random velocity field uncorrelated in time and having Gaussian statistics with a powerlike correlator. The renormalization group and operator product expansion methods show that the asymptotic form of the structure functions of the ϕ field in the inertial range is determined by the fluctuations of the energy dissipation rate. The dependence of the asymptotic form on the external turbulence scale is essential and has a powerlike form (anomalous scaling). The corresponding exponents are determined by the spectrum of the anomalous dimension matrices of operator families consisting of gradients of ϕ. We find a basis constructed from powers of the dissipation and enstrophy operators in which these matrices have a triangular form in all orders of the perturbation theory. In the two-loop approximation, we evaluate the anomalous-scaling exponents for the structure functions of an arbitrary order. Springer Science+Business Media, Inc., 2006 turbulence nationallicence passive admixture nationallicence anomalous scaling nationallicence renormalization group nationallicence Adzhemyan L. St. Petersburg State University, St. Petersburg, Russia aut Novikov S. St. Petersburg State University, St. Petersburg, Russia aut Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 146/3(2006-03-01), 393-410 0040-5779 146:3<393 2006 146 11232 https://doi.org/10.1007/s11232-006-0048-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-006-0048-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Adzhemyan L. St. Petersburg State University, St. Petersburg, Russia aut NATIONALLICENCE 700 1- Novikov S. St. Petersburg State University, St. Petersburg, Russia aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 146/3(2006-03-01), 393-410 0040-5779 146:3<393 2006 146 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer