Energy dependence of the X-ray power spectrum in NGC 4051 and NGC 4395

Open Access

Table 1.

PSD best-fit Results.

	NGC 4051					NGC 4395
	χ²/d.o.f.	χ²/d.o.f.	PSD_amp	ν_b	a_high	χ²/d.o.f.	χ²/d.o.f.	PSD_amp	ν_b	a_high
(keV)	(PL)	(BPL)	(×10⁻²)	(×10⁻³ Hz)		(PL)	(BPL)	(×10⁻²)	(×10⁻³ Hz)
0.3–0.5	105.2/50	49.2/49	$3 . 0_{- 0.4}^{+ 0.5}$ $Mathematical equation: $ 3.0^{+0.5}_{-0.4} $$	$0 . 20_{- 0.04}^{+ 0.06}$ $Mathematical equation: $ 0.20^{+0.06}_{-0.04} $$	2.16 ± 0.06	22.4/20	15.9/19	$10 . 3_{- 2.3}^{+ 2.9}$ $Mathematical equation: $ 10.3^{+2.9}_{-2.3} $$	$2 . 15_{- 0.86}^{+ 1.44}$ $Mathematical equation: $ 2.15^{+1.44}_{-0.86} $$	$2 . 22_{- 0.42}^{+ 0.52}$ $Mathematical equation: $ 2.22^{+0.52}_{-0.42} $$
0.5–0.8	103.5/50	56.4/49	$3 . 5_{- 0.5}^{+ 0.6}$ $Mathematical equation: $ 3.5^{+0.6}_{-0.5} $$	$0 . 17_{- 0.04}^{+ 0.05}$ $Mathematical equation: $ 0.17^{+0.05}_{-0.04} $$	2.09 ± 0.06	41.8/20	20.4/19	$7 . 1_{- 1.1}^{+ 1.2}$ $Mathematical equation: $ 7.1^{+1.2}_{-1.1} $$	$2 . 53_{- 0.57}^{+ 0.74}$ $Mathematical equation: $ 2.53^{+0.74}_{-0.57} $$	$2 . 88_{- 0.55}^{+ 0.68}$ $Mathematical equation: $ 2.88^{+0.68}_{-0.55} $$
0.8–1.5	93.7/50	62.6/49	$3 . 6_{- 0.7}^{+ 0.8}$ $Mathematical equation: $ 3.6^{+0.8}_{-0.7} $$	$0 . 13_{- 0.04}^{+ 0.06}$ $Mathematical equation: $ 0.13^{+0.06}_{-0.04} $$	1.98 ± 0.06	42.1/20	27.3/19	4.7 ± 0.6	$4 . 34_{- 0.90}^{+ 1.14}$ $Mathematical equation: $ 4.34^{+1.14}_{-0.90} $$	$2 . 82_{- 0.60}^{+ 0.77}$ $Mathematical equation: $ 2.82^{+0.77}_{-0.60} $$
1.5–5	76.3/50	57.7/49	$4 . 2_{- 1.0}^{+ 1.2}$ $Mathematical equation: $ 4.2^{+1.2}_{-1.0} $$	$0 . 09_{- 0.04}^{+ 0.06}$ $Mathematical equation: $ 0.09^{+0.06}_{-0.04} $$	1.88 ± 0.06	58.5/23	29.2/22	3.1 ± 0.4	$1 . 56_{- 0.34}^{+ 0.43}$ $Mathematical equation: $ 1.56^{+0.43}_{-0.34} $$	$2 . 32_{- 0.22}^{+ 0.24}$ $Mathematical equation: $ 2.32^{+0.24}_{-0.22} $$
5–10	110.3/73	93.5/72	1.5 ± 0.3	$0 . 19_{- 0.08}^{+ 0.12}$ $Mathematical equation: $ 0.19^{+0.12}_{-0.08} $$	$1 . 88_{- 0.13}^{+ 0.14}$ $Mathematical equation: $ 1.88^{+0.14}_{-0.13} $$	54.4/44	48.0/43	1.9 ± 0.3	$1 . 04_{- 0.36}^{+ 0.54}$ $Mathematical equation: $ 1.04^{+0.54}_{-0.36} $$	$2 . 01_{- 0.27}^{+ 0.31}$ $Mathematical equation: $ 2.01^{+0.31}_{-0.27 } $$
10–20	26.0/21		< 1	> 0.12	1.8a	17.7/20		< 7.2	> 0.03	2a

Notes. PSD best-fit results for NGC 4051 and NGC 4395 in the various energy bands. Columns (2,3), and (7,8) list the best-fit χ² for the PL and BPL models to the NGC 4051 and NGC 4395 PSDs, respectively. Columns (4,5,6) and (9, 10, 11) list the best-fit BPL parameters. Errors correspond to 1σ confidence range. a The BPL high-frequency slope is frozen at −1.8 and −2.0 for NGC 4051 and NGC 4395, respectively.

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