Phys. Rev. E 71, 066312 (2005) [15 pages]Anomalous scaling of passively advected magnetic field in the presence of strong anisotropyReceived 23 August 2004; revised 3 December 2004; published 28 June 2005 Inertial-range scaling behavior of high-order (up to order N=51) two-point correlation functions of a passively advected vector field has been analyzed in the framework of the rapid-change model with strong small-scale anisotropy with the aid of the renormalization group and the operator-product expansion. Exponents of the powerlike asymptotic behavior of the correlation functions have been calculated in the one-loop approximation. These exponents are shown to depend on anisotropy parameters in such a way that a specific hierarchy related to the degree of anisotropy is observed. Deviations from power-law behavior like oscillations or logarithmic behavior in the corrections to correlation functions have not been found. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.71.066312
DOI:
10.1103/PhysRevE.71.066312
PACS:
47.10.+g, 47.27.−i, 05.10.Cc
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.