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Infrared asymptote of velocity correlator in turbulence theory

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Abstract

The stochastic theory of turbulence with a random-force correlator of the form k(k2 + m2)-ɛ is considered (m is the inverse external scale of turbulence). Within the framework of the Wilson operator expansion in the region ɛ<2, the first Kolmogorov hypothesis — finiteness of the simultaneous velocity correlator as m→0 — is proven.

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Literature cited

  1. H. W. Wyld, Ann. Phys.,14, No. 1, 143–165 (1961).

    Google Scholar 

  2. C. De Dominicis and P. C. Martin, Phys. Rev.,A29, No. 1, 419–422 (1979).

    Google Scholar 

  3. K. Wilson and M. Fisher, Phys. Rev. Lett.,28, No. 4, 240–243 (1972).

    Google Scholar 

  4. A. N. Kolmogorov, Dokl. Akad. Nauk SSSR,30, No. 4, 299–303 (1941).

    Google Scholar 

  5. A. M. Obukhov, Dokl. Akad. Nauk SSSR,32, No. 1, 22–24 (1941).

    Google Scholar 

  6. V. I. Belinicher and V. S. L'vov, Zh. Eksp. Teor. Fiz.,93, No. 2(8), 533–551 (1987).

    Google Scholar 

  7. L. Ts. Adzhemyan, N. V. Antonov, and A. N. Vasil'ev, Zh. Eksp. Teor. Fiz.,95, No. 4, 1272–1288 (1989).

    Google Scholar 

  8. K. Wilson, Phys. Rev.,179, No. 3, 1499–1503 (1969).

    Google Scholar 

  9. L. Ts. Adzhemyan, A. N. Vasil'ev, and Yu. M. Pis'mak, Teor. Mat. Fiz.,57, No. 2, 268–281 (1983).

    Google Scholar 

  10. L. Ts. Adzhemyan, A. N. Vasil'ev, and M. Gnatich, Teor. Mat. Fiz.,74, No. 2, 180–191 (1988).

    Google Scholar 

  11. N. V. Antonov, Zap. Nauchn. Sem. LOMI,169, 18–28 (1988).

    Google Scholar 

  12. A. N. Vasil'ev, Teor. Mat. Fiz.,81, No. 3, 336–353 (1989).

    Google Scholar 

  13. A. N. Vasil'ev, Functional Methods in Quantum Field Theory and Statistics [in Russian], Izd. LGU, Leningrad (1976).

    Google Scholar 

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Authors
  1. N. V. Antonov
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 189, pp. 15–23, 1991.

It remains to thank A. N. Vasil'ev for useful discussions.

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Antonov, N.V. Infrared asymptote of velocity correlator in turbulence theory. J Math Sci 62, 2950–2955 (1992). https://doi.org/10.1007/BF01097494

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