Energy spectrum of the quantum vortices configurations

  • S.K. Nemirovskii Institute of Thermophysics Lavrentyevave, 1, 630090, Novosibirsk, Russia


A review of various exactly solvable models on the determination of the energy spectra E(k) of 3D-velocity field, induced by chaotic vortex lines is proposed. This problem is closely related to the sacramental question whether a chaotic set of vortex filaments can mimic the real hydrodynamicturbulence [1]. The quantity v(k)v(-k) can be exactly calculated, provided that we know the probability distribution functional P({s(\xi ,t)}) of vortex loops configurations.


1 U. Frisch, Turbulence (Cambridge University Press, Cambridge, 1995).

2 S. K. Nemirovskii, Physics Reports, 524, (2013).

3 S. K. Nemirovskii, M. Tsubota, and T. Araki, Journal of Low Temperature Physics, 126, 1535 (2002).

4 S. Nemirovskii, Journal of Low Temperature Physics, 171, 504 (2013).
How to Cite
NEMIROVSKII, S.K.. Energy spectrum of the quantum vortices configurations. Recent Contributions to Physics (Rec.Contr.Phys.), [S.l.], v. 50, n. 3, p. 19-20, jan. 2015. ISSN 2663-2276. Available at: <>. Date accessed: 22 oct. 2020.
Condensed Matter Physics and Materials Science Problems. NanoScience

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