TY - JOUR

T1 - The theory of turbulence in two dimensions

AU - Polyakov, A. M.

N1 - Funding Information:
I am grateful to A. Migdal, E. Siggia, V. Yakhot and A. Zamolodchikov for many important remarks on this work. I also thank D. Makogonenko for her help in preparation of this article. This work was partially supported by the National Science Foundation under contract PHYS-90-21984.

PY - 1993/5/17

Y1 - 1993/5/17

N2 - The methods of conformal field theory are used to obtain series of exact solutions of the fundamental equations of the theory of turbulence. The basic conjecture, proved to be self-consistent, is the conformal invariance of the inertial range. The resulting physical picture is different from the standard one, since the enstrophy transfer is catalyzed by the large-scale motions. The theory gives some unambiguous predictions for the corrections in the inertial range.

AB - The methods of conformal field theory are used to obtain series of exact solutions of the fundamental equations of the theory of turbulence. The basic conjecture, proved to be self-consistent, is the conformal invariance of the inertial range. The resulting physical picture is different from the standard one, since the enstrophy transfer is catalyzed by the large-scale motions. The theory gives some unambiguous predictions for the corrections in the inertial range.

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U2 - 10.1016/0550-3213(93)90656-A

DO - 10.1016/0550-3213(93)90656-A

M3 - Article

AN - SCOPUS:13644254651

SN - 0550-3213

VL - 396

SP - 367

EP - 385

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 2-3

ER -