Study of the higher-order asymptotic behavior of quantum field expansions in the theory of two-dimensional fully developed turbulence
Teoretičeskaâ i matematičeskaâ fizika, Tome 169 (2011) no. 1, pp. 79-88 Cet article a éte moissonné depuis la source Math-Net.Ru

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We use a simplified $(0{+}1)$-dimensional theory to develop approaches for studying the higher-order asymptotic behavior of quantum field expansions in the two-dimensional theory of fully developed turbulence. We consider the asymptotic behavior of the correlation function in the small-time limit in the theory of fully developed turbulence and derive and investigate the stationarity equation. We show that the perturbation series in this limit has a finite convergence radius.
Keywords: fully developed turbulence, instanton, renormalization group, stochastic dynamics.
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M. Yu. Nalimov; V. A. Sergeev. Study of the higher-order asymptotic behavior of quantum field expansions in the theory of two-dimensional fully developed turbulence. Teoretičeskaâ i matematičeskaâ fizika, Tome 169 (2011) no. 1, pp. 79-88. http://geodesic.mathdoc.fr/item/TMF_2011_169_1_a7/

[1] J. Zinn-Justin, Quantum Field Theory and Critical Phenomena, International Series of Monographs on Physics, 77, Oxford Univ. Press, New York, 1996 | MR

[2] A. Yu. Andreanov, M. V. Komarova, M. Yu. Nalimov, J. Phys. A, 39:25 (2006), 7801–7813, arXiv: nlin/0410058 | DOI | MR | Zbl

[3] J. Andreanov, J. Honkonen, M. Komarova, M. Nalimov, J. Phys. A, 39:25 (2006), 7815–7824 | DOI | MR | Zbl

[4] A. N. Vasilev, Kvantovopolevaya renormgruppa v teorii kriticheskogo povedeniya i stokhasticheskoi dinamike, Izd-vo PIYaF, SPb., 1998 | MR

[5] S. A. Orszag, V. Yakhot, J. Sci. Comput., 14:2 (1999), 147–195 | DOI | MR | Zbl

[6] P. C. Martin, E. D. Siggia, H. A. Rose, Phys. Rev. A, 8:1 (1973), 423–437 | DOI

[7] V. G. Makhankov, Phys. Lett. A, 61:7 (1977), 431–432 | DOI

[8] L. N. Lipatov, ZhETF, 72:2 (1977), 411–427 | MR

[9] I. S. Kremnev, M. Yu. Nalimov, V. A. Sergeev, Vestn. SPbGU. Ser. 4: Fizika, khimiya, 4 (2007), 30–36

[10] G. Falkovich, I. Kolokolov, V. Lebedev, A. Migdal, Phys. Rev. E, 54:5 (1996), 4896–4907 | DOI