RENORMALIZATION-GROUP STUDY OF CORRELATION-FUNCTIONS AND COMPOSITE-OPERATORS IN THE STOCHASTIC MAGNETOHYDRODYNAMIC MODEL

Citation
Lt. Adzhemyan et al., RENORMALIZATION-GROUP STUDY OF CORRELATION-FUNCTIONS AND COMPOSITE-OPERATORS IN THE STOCHASTIC MAGNETOHYDRODYNAMIC MODEL, Theoretical and mathematical physics, 107(1), 1996, pp. 533-543
Citations number
7
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
ISSN journal
00405779
Volume
107
Issue
1
Year of publication
1996
Pages
533 - 543
Database
ISI
SICI code
0040-5779(1996)107:1<533:RSOCAC>2.0.ZU;2-3
Abstract
By means of the renormalization-group approach, the scaling behavior o f the correlation functions in stochastic magnetohydrodynamics is stud ied for the case of developed turbulence. To complete the results obta ined previously, we investigate the infrared asymptotics of the Green' s functions with an arbitrary number of external field in both the ''k inetic'' and ''magnetic'' regimes. Special consideration is given to t he problem of dynamic scaling behavior in the magnetic regime. The cri tical dimensions of the composite operators of the energy functional a re calculated. Using the short-distance expansion, we find the relatio n between the correlation functions within the inertial range and the integral turbulence scale.