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This article is cited in 85 scientific papers (total in 85 papers)
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Quantum field renormalization group in the theory of fully developed turbulence
L. Ts. Adzhemyan, N. V. Antonov, A. N. Vasil'ev Saint-Petersburg State University
Abstract:
Quantum field renormalisation group results of the theory of developed turbulence are reviewed. Background information about quantum field renormalisation theory, including operator expansion and the renormalisation of composite operators is given. As an example problem, the stochastic model of isotropic homogeneous turbulence is considered for which, using the renormalisation technique, the existence of infrared scaling with Kholmogorov dimensions is proved. The dimension of composite operators and the infrared asymptotic behaviour of various correlation functions are discussed, and numerical amplitude factors of scaling laws are calculated.
Received: December 31, 1996
Citation:
L. Ts. Adzhemyan, N. V. Antonov, A. N. Vasil'ev, “Quantum field renormalization group in the theory of fully developed turbulence”, UFN, 166:12 (1996), 1257–1284; Phys. Usp., 39:12 (1996), 1193–1219
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https://www.mathnet.ru/eng/ufn1269 https://www.mathnet.ru/eng/ufn/v166/i12/p1257
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Abstract page: | 504 | Full-text PDF : | 185 | First page: | 1 |
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