QUANTUM-FIELD RENORMALIZATION-GROUP IN TH E THEORY OF DEVELOPED TURBULENCE

Citation
Lt. Adzhemyan et al., QUANTUM-FIELD RENORMALIZATION-GROUP IN TH E THEORY OF DEVELOPED TURBULENCE, Uspehi fiziceskih nauk, 166(12), 1996, pp. 1257-1284
Citations number
135
Categorie Soggetti
Physics
Journal title
ISSN journal
00421294
Volume
166
Issue
12
Year of publication
1996
Pages
1257 - 1284
Database
ISI
SICI code
0042-1294(1996)166:12<1257:QRITET>2.0.ZU;2-D
Abstract
Quantum field renormalisation group results of the theory of developed turbulence are reviewed. Background information about quantum field r enormalisation theory, including operator expansion and the renormalis ation of composite operators is given. As an example problem, the stoc hastic model of isotropic homogeneous turbulence is considered for whi ch, using the renormalisation technique, the existence of infrared sca ling with Kholmogorov dimensions is proved. The dimension of composite operators and the infrared asymptotic behaviour of various correlatio n functions are discussed, and numerical amplitude factors of scaling laws are calculated.