The theory of turbulence in two dimensions

A. M. Polyakov

doi:10.1016/0550-3213(93)90656-A

The theory of turbulence in two dimensions

A. M. Polyakov

Physics

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103 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	367-385
Number of pages	19
Journal	Nuclear Physics, Section B
Volume	396
Issue number	2-3
DOIs	https://doi.org/10.1016/0550-3213(93)90656-A
State	Published - May 17 1993

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/0550-3213(93)90656-A

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abstract = "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.",

author = "Polyakov, {A. M.}",

note = "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.",

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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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ER -

The theory of turbulence in two dimensions

Abstract

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