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Fig. 1

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The gravitational potential governing gas infall. As the DM outskirts develop (see Sect. 2), both the virial R and the turnaround radius Rta shift outwards, retaining the ratio Rta/R ≈ 2. Meanwhile, the outer potential becomes shallower and ΔΦ lower from the value marked in black to that in blue. The shock position Rs slowly outgrows R, lowering the drop to the value marked in red.

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