Renormalization-group study of correlation functions and composite operators in the stochastic magnetohydrodynamic model. (English. Russian original) Zbl 0948.76638

Adzhemyan, L. Ts.; Volchenkov, D. Yu.; Nalimov, M. Yu.

Theor. Math. Phys. 107, No. 1, 533-543 (1996); translation from Teor. Mat. Fiz. 107, No. 1, 142-154 (1996).

Summary: By means of the renormalization-group

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approach, the scaling behavior of the correlation functions in stochastic magnetohydrodynamics is studied for the case of developed turbulence. To complete the results obtained previously, we investigate the infrared asymptotics of the Green’s functions with an arbitrary number of external fields in both the “kinetic” and “magnetic” regimes. Special consideration is given to the problem of dynamic scaling behavior in the magnetic regime. The critical dimensions of the composite operators of the energy functional are calculated. Using the short-distance expansion, we find the relation between the correlation functions within the inertial range and the integral turbulence scale.

MSC:

76W05	Magnetohydrodynamics and electrohydrodynamics
76F99	Turbulence
82B28	Renormalization group methods in equilibrium statistical mechanics
76M35	Stochastic analysis applied to problems in fluid mechanics

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