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Topological meaning of the slope of the Kolmogorov spectrum of magnetic turbulence

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Publication:2056852
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DOI10.1134/S0040577921110088zbMath1482.78002OpenAlexW3215270055MaRDI QIDQ2056852

Peter M. Akhmetiev

Publication date: 8 December 2021

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577921110088


zbMATH Keywords

magnetic helicitymagnetic energy\(M\)-invariant


Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Electromagnetic theory (general) (78A25) Isotropic turbulence; homogeneous turbulence (76F05)


Related Items (1)

Topological meaning of the slope of the Kolmogorov spectrum of magnetic turbulence: \(M_5\)-invariant of magnetic lines and its combinatorial formula




Cites Work

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  • On a higher integral invariant for closed magnetic lines
  • On Arnold's problem on higher analogs of the asymptotic Hopf invariant
  • Magnetic helicity flux for mean magnetic field equations
  • Dispersion of the Arnold's asymptotic ergodic Hopf invariant and a formula for its calculation
  • On asymptotic higher analogs of the helicity invariant in magnetohydrodynamics




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