Skip to main content
Log in

Evolution equation for the vortex distribution function in the planar case

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

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

Access this article

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

Instant access to the full article PDF.

Literature cited

  1. E. A. Novikov, “Dynamics and statistics of a system of vortices,” Zh. Eksp. Teor. Fiz.,68, No. 5 (1975).

  2. S. Kida, “Statistics of a system of line vortices,” J. Phys. Soc. Jpn.,39, No. 5 (1975).

  3. Y. B. Pointin and T. S. Lundgren, “Statistical mechanics of two-dimensional vortices in a bounded container,” Phys. Fluids,19, No. 10 (1976).

  4. Y. B. Pointin and T. S. Lundgren, “Statistical mechanics of two-dimensional vortices,” J. Stat. Phys.,17, No. 5 (1977).

  5. A. J. Chorin, “Numerical study of slightly viscous flow,” J. Fluid Mech.,57, No. 4 (1973).

  6. H. Lamb, Hydrodynamics, Dover (1932).

  7. N. N. Bogolyubov, Problems of Dynamical Theory in Statistical Physics, Collected Works, Vol. 2 [in Russian], Naukova Dumka, Kiev (1970).

    Google Scholar 

  8. R. Balescu, Statistical Mechanics of Charged Particles, Krieger (1963).

  9. R. Balescu and A. Senatorski, “A new approach to the theory of fully developed turbulence,” Ann. Phys.58, No. 2 (1970).

  10. P. Resibois and M. DeLeener, “Irreversibility in Heisenberg spin systems I,” Phys. Rev.,152, No. 1 (1966).

  11. G. K. Batchelor, Introduction to Fluid Dynamics, Cambridge Univ. Press (1967).

  12. N. Rostoker and M. N. Rosenbluth, “Test particles in a completely ionized plasma,” Phys. Fluids,3, No. 1 (1960).

  13. R. H. Kraichnan, “Statistical dynamics of two-dimensional flow,” J. Fluid Mech.,67, Part 1 (1975).

  14. I. Prigozhin, Irreversible Statistical Mechanics [in Russian] Mir, Moscow (1964).

    Google Scholar 

  15. P. Resibois, “New approach to irreversible transport phenomena in plasma dynamics,” Phys. Fluids,6, No. 6 (1963).

  16. G. A. Korn and T. M. Korn, Manual of Mathematics, McGraw-Hill (1967).

  17. I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series, and Products, Academic Press, New York (1965).

    Google Scholar 

  18. G. Joyce and D. Montgomery, “Negative temperature states for the two-dimensional guiding-center plasma,” J. Plasma Phys.,10, 1 (1973).

    Google Scholar 

  19. V. P. Starr, Physics of Negative Viscosity Phenomena, McGraw-Hill (1968).

  20. R. Balescu, Equilibrium and Non-Equilibrium Statistical Mechanics, Wiley (1975).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 3, pp. 27–38, May–June, 1983.

The author thanks N. N. Yanenko for interest in the work.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Grigor'ev, Y.N. Evolution equation for the vortex distribution function in the planar case. J Appl Mech Tech Phys 24, 304–314 (1983). https://doi.org/10.1007/BF00909745

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00909745

Keywords

Navigation