Fig. A.4.

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Angular distribution f(t, θ)⋅sin(θ) of beam particles within the deflection test set-up as obtained within the hSIDM scheme at three (very early) times t (solid lines) and for two values of the critical angle, θc = 0.3 (left panel) and θc = 0.5 (right panel), respectively. The angular distribution is expected to agree with the analytical result Eq. (18) (dashed lines) after some minimal time t > tmin(θc) for which scatterings by angles θ < θc are sufficiently frequent such that the effective drag force and momentum diffusion approach applies. The agreement is indeed reached after the expected time tmin(0.3)≃2 ⋅ 10−2t1 and tmin(0.5)≃4 ⋅ 10−2t1, respectively. We note that hSIDM is thus well applicable on the relevant dynamical timescale t ∼ tdyn(≡t1).
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