Table 1
Numerical values obtained for the three models.
| Local GOY | Sabra, α = −5/2 | Sabra, α = −1 | |
| Local | Weak nonloc. | Strong nonloc. | |
|
|
|||
| limRe → ∞log Rmc | 2.4 ± 0.2 | 2.3 ± 0.2 | 2.2 ± 0.2 |
| log Rmc(Remin) | 1.5 ± 0.3 | 1.6 ± 0.3 | 1.6 ± 0.3 |
| β | 0.424 ± 0.024 | 0.418 ± 0.032 | 0.379 ± 0.024 |
| β ′ | 0.422 ± 0.032 | 0.379 ± 0.032 | 0.336 ± 0.027 |
| ζ1 | 0.354 ± 0.067 | 0.350 ± 0.067 | 0.383 ± 0.067 |
| βphenom.(ζ1) | 0.477 ± 0.073 | 0.481 ± 0.073 | 0.446 ± 0.070 |
Notes. Remin is the smallest Re in Fig. 1, β is the slope of the power-law fit to l(Rm) ≡ limRe → ∞γ, β′ is the slope of the power-law fit to l′(Re) ≡ limRm → ∞γ, ζ1 is the exponent of the first structure function for the velocity field, and βphenom. is the expected value for β and β′ deduced from the small-scale dynamo phenomenology. Uncertainties in β, β′, and ζ1 are 3-σ uncertainties in the fits corresponding to these parameters.
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