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Fig. 8.

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Polarization fraction as a function of the “mean” optical depth (see Sect. 3.3) for 1D (upper panel) and 2D (lower panel) velocity fields. A schematic representation of the physical models used is shown in Fig. 7. Upper panel: The solid black line shows the analytical results by Kylafis (1983) for CnH2/A = 1 and red squares show our numerical results for the same value of CnH2/A and with C m m = C J , m J , m $ C\prime_{{m}\rightarrow {m}\prime} = C_{{J,m}\rightarrow {J{\prime}},{m{\prime}}} $. Green stars and blue circles show our numerical results when we alter the value of C m m $ C\prime_{{m}\rightarrow {m}\prime} $ a factor of ten above and below CJ, m → J′, m. Lower panel: The dashed black and dash-dotted magenta lines show the results from Goldreich & Kylafis (1981) and Lankhaar & Vlemmings (2020a) for CnH2/A = 0.212 and T = 10 K, and blue triangles show results obtained with PYRATE for the same values of CnH2/A and T. Finally, the solid black line and red squares show, respectively, the analytical results by Kylafis (1983) and P Y R A T E ' S $ {P{\small{\text{Y}}}R{\small{\text{A}}}TE^\prime{\small{\text{S}}}} $ results for CnH2/A = 1 and T = 30 K.

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