Toward mapping turbulence in the intra-cluster medium - III. Constraints on the turbulent power spectrum with Athena/X-IFU

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Volume 686 (June 2024)

A&A, 686 (2024) A41

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Table 2.

Summary table of the marginalized parameter uncertainties for each of the result figures presented in this section.

Model	π(1/L_diss)	π(α)	L_diss [kpc]	L_inj [kpc]	α	σ [km s⁻¹]
True value	–	–	10	300	−11/3	253
Uniform exp. (Fig. 7)	Exp( $\frac{1}{10}$ $\frac{1}{10}$ )	–	$6 . 2_{- 4.7}^{+ 12.2}$ $6.2^{+12.2}_{-4.7}$	$244_{- 74}^{+ 73}$ $244^{+73}_{-74}$	$- 3 . 98_{- 1.64}^{+ 0.86}$ $-3.98^{+0.86}_{-1.64}$	$209_{- 17}^{+ 30}$ $209^{+30}_{-17}$
Mixed exp. (Fig. 7)	Exp( $\frac{1}{10}$ $\frac{1}{10}$ )	–	$6 . 4_{- 5.0}^{+ 12.4}$ $6.4^{+12.4}_{-5.0}$	$215_{- 75}^{+ 37}$ $215^{+37}_{-75}$	$- 4 . 7_{- 2.1}^{+ 1.2}$ $-4.7^{+1.2}_{-2.1}$	$200_{- 9.2}^{+ 21.5}$ $200^{+21.5}_{-9.2}$

Uniform exp. (Fig. 8)	Exp( $\frac{1}{10}$ $\frac{1}{10}$ )	$N (- \frac{11}{3}, 0.5)$ $\mathcal{N}(-\frac{11}{3}, 0.5)$	$6 . 6_{- 5.0}^{+ 12.0}$ $6.6^{+12.0}_{-5.0}$	$296_{- 38}^{+ 48}$ $296^{+48}_{-38}$	$- 3 . 84_{- 0.40}^{+ 0.41}$ $-3.84^{+0.41}_{-0.40}$	$233_{- 18}^{+ 26}$ $233^{+26}_{-18}$
Mixed exp. (Fig. 8)	Exp( $\frac{1}{10}$ $\frac{1}{10}$ )	$N (- \frac{11}{3}, 0.5)$ $\mathcal{N}(-\frac{11}{3}, 0.5)$	$6 . 2_{- 4.9}^{+ 13.6}$ $6.2^{+13.6}_{-4.9}$	$275_{- 31}^{+ 39}$ $275^{+39}_{-31}$	$- 3 . 91_{- 0.42}^{+ 0.37}$ $-3.91^{+0.37}_{-0.42}$	$231_{- 17}^{+ 21}$ $231^{+21}_{-17}$

Uniform exp. (Fig. 9)	–	$N (- \frac{11}{3}, 0.5)$ $\mathcal{N}(-\frac{11}{3}, 0.5)$	–	$301_{- 40}^{+ 48}$ $301^{+48}_{-40}$	$- 3 . 78_{- 0.45}^{+ 0.37}$ $-3.78^{+0.37}_{-0.45}$	$241_{- 17}^{+ 24}$ $241^{+24}_{-17}$
Mixed exp. (Fig 9)	–	$N (- \frac{11}{3}, 0.5)$ $\mathcal{N}(-\frac{11}{3}, 0.5)$	–	$277_{- 31}^{+ 38}$ $277^{+38}_{-31}$	$- 3 . 89_{- 0.43}^{+ 0.35}$ $-3.89^{+0.35}_{-0.43}$	$238_{- 16}^{+ 19}$ $238^{+19}_{-16}$

Notes. The uncertainties given are ±1σ. The first column refers to the model and its corresponding figure. The second and third column show the priors used for each configuration.

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