Table 1
Confirmation of the Alexander-Orbach relation obtained by connecting the respective walk and spectral dimensions according to Eq. (8).
R | 10-2 | 10-1 | 1 | ||
|
|||||
d w | 2.577 ± 7.25 × 10-3 | 2.173 ± 9.44 × 10-3 | 2.057 ± 3.16 × 10-4 | ||
2 /dw | 0.776 ± 2.19 × 10-3 | 0.920 ± 3.99 × 10-3 | 0.97 ± 4.57 × 10-2 | ||
d s | 1.447 ± 3.17 × 10-4 | 1.843 ± 4.55 × 10-3 | 1.944 ± 8.46 × 10-4 | ||
ds/ 2 | 0.7235 ± 1.58 × 10-4 | 0.9215 ± 2.27 × 10-3 | 0.972 ± 4.23 × 10-4 |
Notes. For the three rigidity values, the relevant values are shown together with their standard deviations. The errors solely reflect the fit uncertainties and thus neglect the additional degree of freedom arising from manually choosing the relevant time range. The fractal dimension is taken to be df = 2 because only perpendicular transport is considered here.
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