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Study of the higher-order asymptotic behavior of quantum field expansions in the theory of two-dimensional fully developed turbulence

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Abstract

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.

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Author information

Correspondence to M. Yu. Nalimov.

Additional information

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 169, No. 1, pp. 79–88, October, 2011.

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Nalimov, M.Y., Sergeev, V.A. Study of the higher-order asymptotic behavior of quantum field expansions in the theory of two-dimensional fully developed turbulence. Theor Math Phys 169, 1432–1440 (2011). https://doi.org/10.1007/s11232-011-0119-6

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Keywords

  • fully developed turbulence
  • instanton
  • renormalization group
  • stochastic dynamics