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首页> 外文期刊>Theoretical and mathematical physics >TOPOLOGICAL MEANING OF THE SLOPE OF THE KOLMOGOROV SPECTRUM OF MAGNETIC TURBULENCE
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TOPOLOGICAL MEANING OF THE SLOPE OF THE KOLMOGOROV SPECTRUM OF MAGNETIC TURBULENCE

机译:TOPOLOGICAL MEANING OF THE SLOPE OF THE KOLMOGOROV SPECTRUM OF MAGNETIC TURBULENCE

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摘要

It is well known that the magnetic helicity is not a single invariant in ideal magnetohydrodynamics. We study the problem of whether the exponent-1.7 of the slope of the turbulent spectrum of magnetic energy can be explained. An affirmative answer is obtained under the assumption that the quasiperiodic magnetic field is freely distributed over the scale. The answer is based on the use of the asymptotic Hopf invariant and the M-invariant (numerical measure of knottedness of magnetic lines).

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