Skip to main content
SpringerLink
Log in

Correlations of Vorticity Inside a Coherent Vortex

  • STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

We investigate fluctuations of vorticity inside a coherent vortex generated by the inverse energy cascade in two-dimensional turbulence. Temporal and spatial correlations can be characterized by the pair correlation function. The interaction of fluctuations leads to a nonzero third moment of vorticity. We analyze the pair correlation function and the third moment using a model in which the pumping is short-correlated in time and derive explicit expressions for the Gaussian spatial correlation function for the pumping force.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.
Fig. 3.

REFERENCES

  1. G. Boffetta and R. E. Ecke, Ann. Rev. Fluid Mech. 44, 427 (2012).

    Article  ADS  Google Scholar 

  2. R. H. Kraichnan, Phys. Fluids 10, 1417 (1967).

    Article  ADS  Google Scholar 

  3. C. E. Leith, Phys. Fluids 11, 671 (1968).

    Article  ADS  Google Scholar 

  4. G. K. Batchelor, Phys. Fluids 12, 233 (1969).

    Article  Google Scholar 

  5. R. H. Kraichnan and D. Montgomery, Rep. Prog. Phys. 43, 547 (1980).

    Article  ADS  Google Scholar 

  6. H. Xia, M. Shats, and G. Falkovich, Phys. Fluids 21, 125101 (2009).

  7. A. V. Orlov, M. Yu. Brazhnikov, and A. A. Levchenko, JETP Lett. 107, 157 (2018).

    Article  ADS  Google Scholar 

  8. D. Molenaar, H. J. H. Clercx, and G. J. F. van Heijst, Phys. D (Amsterdam, Neth.) 196, 329 (2004).

  9. M. Chertkov, C. Connaughton, I. Kolokolov, and V. Lebedev, Phys. Rev. Lett. 99, 084501 (2007).

  10. J. Laurie, G. Boffetta, G. Falkovich, I. Kolokolov, and V. Lebedev, Phys. Rev. Lett. 113, 254503 (2014).

  11. I. V. Kolokolov and V. V. Lebedev, JETP Lett. 101, 164 (2015).

    Article  ADS  Google Scholar 

  12. I. V. Kolokolov and V. V. Lebedev, Phys. Rev. E 93, 033104 (2016).

  13. I. V. Kolokolov and V. V. Lebedev, J. Fluid Mech. 809, R2 (2016).

    Article  ADS  Google Scholar 

  14. A. Frishman, J. Laurie, and G. Falkovich, Phys. Rev. Fluids 2, 032602 (2017).

  15. I. V. Kolokolov and V. V. Lebedev, JETP Lett. 106, 659 (2017).

    Article  ADS  Google Scholar 

  16. I. Kolokolov and V. Lebedev, Phys. Rev. E 102, 023108 (2020).

  17. A. N. Doludenko, S. V. Fortova, I. V. Kolokolov, and V. V. Lebedev, Ann. Phys. 447, 169072 (2022).

  18. I. V. Kolokolov, V. V. Lebedev, and M. M. Tumakova, JETP Lett. 117, 122 (2023).

    Article  ADS  Google Scholar 

  19. M. Souzy, I. Zaier, H. Lhuissier, T. le Borgne, and B. Metzger, J. Fluid Mech. 838, R3 (2018).

    Article  ADS  Google Scholar 

  20. H. W. Wyld, Ann. Phys. 14, 134 (1961).

    Article  MathSciNet  ADS  Google Scholar 

  21. P. C. Martin, E. D. Siggia, and H. A. Rose, Phys. Rev. A 8, 423 (1973).

    Article  ADS  Google Scholar 

  22. J. Hertz, Y. Roudi, and P. Sollich, J. Phys. A 50, 033001 (2017).

  23. G. C. Wick, Phys. Rev. 80, 268 (1950).

    Article  MathSciNet  ADS  Google Scholar 

  24. A. Frishman, Phys. Fluids 29, 125102 (2017).

Download references

Funding

The work of I.V. Kolokolov was performed within the research program of the National Center of Physics and Mathematics (project “Physics of High Energy Densities”, stage 2023–2025). Authors V.V.L. and M.M.T. are grateful for the support to the Ministry of Higher Education and Science of the Russian Federation (project no. 075-15-2022-1099) and the “Basis” Foundation.

Author information

Authors and Affiliations

  1. Landau Institute of Physics, Russian Academy of Sciences, 142432, Chernogolovka, Moscow oblast, Russia

    I. V. Kolokolov & V. V. Lebedev

  2. Nation Research University “Higher School of Economics”, 101000, Moscow, Russia

    I. V. Kolokolov & V. V. Lebedev

  3. National Research University “Higher School of Economics”, 190008, St. Petersburg, Russia

    M. M. Tumakova

Authors
  1. I. V. Kolokolov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. V. Lebedev
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. M. Tumakova
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to I. V. Kolokolov.

Ethics declarations

The authors declare that they have no conflicts of interest.

Additional information

Translated by N. Wadhwa

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kolokolov, I.V., Lebedev, V.V. & Tumakova, M.M. Correlations of Vorticity Inside a Coherent Vortex. J. Exp. Theor. Phys. 136, 785–794 (2023). https://doi.org/10.1134/S1063776123060122

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063776123060122

Search

Navigation