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
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.