Fig. 4

Differential path length over accretion suppression factor f = ⟨ ṀBondi ⟩ /ṀBondi. The five curves labelled by their respective vaz,0/vcirc-value show the path length in parsec that a star spends at a given accretion suppression factor f per orbital period and per decade in log (f). The range of f-values that our model requires is given to the right of the solid vertical bar. The horizontal dotted lines show the limiting path length for statistically uniform accretion. The plot shows that the accumulated path length is sufficient for uniform accretion for all orbits with vaz,0/vcirc ≳ 3%. For orbits with lower values of vaz,0/vcirc, accretion varies strongly from star to star, and the average value shown in Fig. 5 would only apply to the ensemble. The plot also shows, that for all orbits with vaz,0/vcirc < 10% there is always a basic amount of gas that is uniformly accreted onto each FRMS disc. This amount is sufficient for our model. The part of the accreted gas that varies from star to star is only added to this basic amount. See Sect. 3.4.3 for details.
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