Table 1
Comparison between the values obtained for the parallel diffusion coefficients (normalized to Ω2ℓ0) obtained directly from the test-particle trajectories via the mean-square displacements (κ∥sim) in Eq. (3)and from the fit to a three-dimensional diffusion profile with constant diffusion coefficients (κ∥fit) together with their respective estimated mean errors.
L/ℓ0 | R | κ∥sim | σ | κ∥fit | σ |
|
|||||
10 | 10-2 | 0.031 | 0.005 | 0.879 | 0.016 |
10 | 10-1 | 0.459 | 0.055 | 10.43 | 0.243 |
10 | 1 | 6.697 | 0.834 | 129.9 | 3.988 |
100 | 10-2 | 0.043 | 0.009 | 0.023 | 6.64 × 10-5 |
100 | 10-1 | 0.844 | 0.160 | 0.359 | 1.60 × 10-3 |
100 | 1 | 25.75 | 4.478 | 8.714 | 0.135 |
1000 | 10-2 | 0.043 | 0.009 | 3.56 × 10-4 | 6.94 × 10-7 |
1000 | 10-1 | 0.871 | 0.196 | 6.35 × 10-3 | 1.42 × 10-5 |
1000 | 1 | 28.29 | 5.612 | 0.147 | 5.79 × 10-4 |
Notes. We note that the use of the SPH approach introduces an additional error (not shown here), which however is smaller than the deviation between κ∥sim and κ∥fit and thus does not falsify the analysis.
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