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Two-dimensional hydrodynamics and asymptotics of correlation functions with account of fluctuations

Abstract

Using the method of abridged description, we determine in this study the time asymptote of correlation functions (in the spatially homogeneous case) of the quasilocal operators, defining the kinetic coefficients, with time dependence\((t\sqrt {lnt} )^{ - 1}\). It is shown that inclusion of long-wave nonequilibrium fluctuations leads to correct formulation of the functional hypothesis.

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Literature cited

  1. 1.

    S. V. Peletminskii, S. S. Plokhov, and V. I. Prikhod'ko, Dokl. Akad. Nauk SSSR,252, No. 6, 1365–1368 (1980).

  2. 2.

    S. V. Peletminskii, S. S. Plokhov, and V. I. Prikhod'ko, Teor. Mat. Fiz.,46, No. 2, 263–278 (1981).

  3. 3.

    S. V. Peletminskii, S. S. Plokhov, and V. I. Prikhod'ko, Preprint Inst. Teor. Fiz. Akad. Nauk UkrSSR ITF-81-79, Kiev (1981).

  4. 4.

    N. N. Bogolyubov, Problems of Dynamic Theory in Statistical Physics [in Russian], Gostekhizdat, Moscow-Leningrad (1946).

  5. 5.

    A. I. Akhiezer and S. V. Peletminskii, Methods of Statistical Physics [in Russian], Nauka, Moscow (1977).

  6. 6.

    P. Resibois and M. F. DeLeener, Classical Kinetic Theory of Fluids, Wiley-Interscience (1977).

  7. 7.

    Y. Pomeau and P. Resibois, Phys. Rep.,19C, 63–67 (1975).

  8. 8.

    A. F. Andreev, Zh. Éksp. Teor. Fiz.,78, No. 5, 2064–2072 (1980).

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika. No. 10, pp. 59–64, October, 1988.

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Angeleiko, V.V., Isaev, A.A. & Prikhod'ko, V.I. Two-dimensional hydrodynamics and asymptotics of correlation functions with account of fluctuations. Soviet Physics Journal 31, 819–823 (1988). https://doi.org/10.1007/BF00920125

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Keywords

  • Correlation Function
  • Time Dependence
  • Correct Formulation
  • Homogeneous Case
  • Kinetic Coefficient