Geodesic
Principle of maximal randomness and parity violation in turbulence
Teoretičeskaâ i matematičeskaâ fizika, Tome 176 (2013) no. 1, pp. 3-12

Voir la notice de l'article provenant de la source Math-Net.Ru

We show that in the self-consistent equations for equal-time correlation functions of velocity fluctuations obtained in the model of developed turbulence based on the maximal randomness principle, infrared divergences are absent from all orders of the perturbation theory. We analyze the additional ultraviolet (UV) divergences that appear in the two-loop approximation of the self-consistent equations. We show that in the system with conserved parity, these divergences can be eliminated using the existing ambiguity in the solution. In the case of parity violation in the system, the UV divergences have a logarithmic form, which can indicate a deviation from the Kolmogorov scaling.
Keywords: self-consistency equation, Kolmogorov power law, helicity, parity violation, infrared divergence
Mots-clés : ultraviolet divergence. 
@article{TMF_2013_176_1_a0,
     author = {L. Ts. Adzhemyan and M. Gnatich and M. V. Kompaniets},
     title = {Principle of maximal randomness and parity violation in turbulence},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {3--12},
     publisher = {mathdoc},
     volume = {176},
     number = {1},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2013_176_1_a0/}
}
TY  - JOUR
AU  - L. Ts. Adzhemyan
AU  - M. Gnatich
AU  - M. V. Kompaniets
TI  - Principle of maximal randomness and parity violation in turbulence
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2013
SP  - 3
EP  - 12
VL  - 176
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2013_176_1_a0/
LA  - ru
ID  - TMF_2013_176_1_a0
ER  - 
%0 Journal Article
%A L. Ts. Adzhemyan
%A M. Gnatich
%A M. V. Kompaniets
%T Principle of maximal randomness and parity violation in turbulence
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2013
%P 3-12
%V 176
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2013_176_1_a0/
%G ru
%F TMF_2013_176_1_a0
L. Ts. Adzhemyan; M. Gnatich; M. V. Kompaniets. Principle of maximal randomness and parity violation in turbulence. Teoretičeskaâ i matematičeskaâ fizika, Tome 176 (2013) no. 1, pp. 3-12. http://geodesic.mathdoc.fr/item/TMF_2013_176_1_a0/