Table 4.
Derived hierarchy parameters using the TPCF models described in Section 5 which characterize the star formation hierarchy in the sample galaxies.
| Galaxy | Correlation length | Fractal dimension | Hierarchy dissipation | Modified lcorr | Modified D2 | Exp. fall-off |
|---|---|---|---|---|---|---|
| lcorr (kpc) | (D2 = 2 + α1) | timescale (Myr) | (kpc) | scale: rc (kpc) | ||
| (1) | (2) | (3) | (4) | (5) | (6) | (7) |
| NGC 1566 | 3.1 ± 0.7 | 1.34 ± 0.08 | 10 | – | – | 12.1 ± 1.2 |
| NGC 5194 | 2.0 ± 0.2 | 1.43 ± 0.04 | 50 | 2.3 ± 0.3 | 1.52 ± 0.04 | 8.3 ± 2.0 |
| NGC 5457 | 1.9 ± 0.1 | 1.05 ± 0.04 | 20 | 2.0 ± 0.2 | 1.27 ± 0.04 | 16.4 ± 1.7 |
| NGC 7793 | 0.5 ± 0.1 | 1.12 ± 0.11 | 10 | – | – | 5.6 ± 0.3 |
Notes. (1) Galaxy name. (2) lcorr represents the largest scale of the star formation hierarchy and it is calculated using the young (< 10 Myr) SFC TPCF. (3) D2 is the fractal dimension of the hierarchy, which is calculated from the power-law slope α1 of the young SFC TPCF on scales smaller than lcorr. (4) The hierarchy dissipation timescale is the age after which the SFCs have lost most of their initial, hierarchical distribution. (5) and (6) lcorr and D2 values derived using the modified age-cut that is equal to the hierarchy dissipation timescale in column (4). For NGC 1566 and NGC 7793, the modified lcorr and D2 values are same as the original lcorr and D2, since the hierarchy dissipation timescale is 10 Myr for these galaxies. (7) rc is the exponential fall-off scale of the star formation distribution, calculated using all the SFCs (young + old) in the galaxy.
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