Table 1 Transition wavenumbers are determined by magnetic field measurements

From: Identification of the weak-to-strong transition in Alfvénic turbulence from space plasma

 

Weak MHD turbulence

Strong MHD turbulence

k versus k distributions of magnetic energy

Purely perpendicular cascade, k < 2 × 10−4 km−1

Goldreich–Sridhar cascade, k > 2 × 10−4 km−1

Spectral slopes of magnetic energy

Wave-like (−2), 1.6 × 10−4 < k < 3 × 10−4 km−1

Kolmogorov-like (−5/3), 3 × 10−4 < k < 7 × 10−4 km−1

Nonlinearity parameter (χBA)

XBA 1, k < 1 × 10−4 km−1

XBA ≈ 1 and XBA ≥ 1, 3 × 10−4 < k < 7 × 10−4 km−1

Frequency–wavenumber distributions

Single-frequency fluctuations, frest ≈ fA, k < 5 × 10−5 km−1

Broadening-frequency fluctuations with \({f}_\mathrm{rest}\propto {k}_{\perp }^{\;2/3}\) boundary, k > 1 × 10−4 km−1