TY - JOUR

T1 - Quantum field renormalization group in the theory of fully developed turbulence

AU - Adzhemyan, L. Ts

AU - Antonov, N. V.

AU - Vasil'ev, A. N.

PY - 1996/12

Y1 - 1996/12

N2 - Quantum field renormalization group results of the theory of developed turbulence are reviewed. Background information about quantum field renormalization theory, including operator expansion and the renormalization of composite operators is given. As an example problem, the stochastic model of isotropic homogeneous turbulence is considered for which, using the renormalization technique, the existence of infrared scaling with Kolmogorov dimensions is proved. The dimension of composite operators and the infrared asymptotic behavior of various correlation functions are discussed, and numerical amplitude factors of scaling laws are calculated.

AB - Quantum field renormalization group results of the theory of developed turbulence are reviewed. Background information about quantum field renormalization theory, including operator expansion and the renormalization of composite operators is given. As an example problem, the stochastic model of isotropic homogeneous turbulence is considered for which, using the renormalization technique, the existence of infrared scaling with Kolmogorov dimensions is proved. The dimension of composite operators and the infrared asymptotic behavior of various correlation functions are discussed, and numerical amplitude factors of scaling laws are calculated.

UR - http://www.scopus.com/inward/record.url?scp=0005846952&partnerID=8YFLogxK

U2 - 10.1070/PU1996v039n12ABEH000183

DO - 10.1070/PU1996v039n12ABEH000183

M3 - Review article

AN - SCOPUS:0005846952

VL - 39

SP - 1193

EP - 1219

JO - Physics-Uspekhi

JF - Physics-Uspekhi

SN - 1063-7869

IS - 12

ER -