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Table 1

Parameters used to model the synchrotron polarization data for an example bin in M 51 located in the innermost radial ring (2.4–3.6 kpc) at an azimuth centered on 100°.

Disk Halo

Mode ratios B2/B0 = (−33) / (−46) Bh1/Bh0 = (76) / (23)
pm [ °] p0 = −20, p2 = − 12 ph0 = −43, ph1 = − 45
βm [ °] β2 = − 8 βh1 = 44

ne [cm-3] 0.11 0.01
ncr [cm-3]* const. const.
L [pc] 800 5000
d [pc]** 40 240
α 2.0 1.5

Notes. The fitted model parameters appearing in the upper panel for the regular magnetic field of Eq. (26)are adopted from Fletcher et al. (2011) with central values reported only. The thermal electron density (ne) and path length (L) for the disk and halo are gathered from Fletcher et al. (2011) and Berkhuijsen et al. (1997).

(*)

The cosmic ray density is treated as a constant of proportionality between the synchrotron emissivity and the square of the total transverse magnetic field (μG) as with constant c = 0.1.

(**)

The turbulent cell size d in the disk and halo is obtained from Eq. (27)with an RM dispersion σRM,D fixed to the observed value of 15 rad m-2 within a telescope beam of linear diameter D = 600 pc. The rms value for the strength of the turbulent magnetic field along the line of sight has been assumed, where the value for is obtained via consideration (6) with in the disk and in the halo.

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