the channel outlet, and in positions closest to the channel inlet, where w ≥ 9. For φ = 0.005 and 0.01%, 90% of the discontinuous clogs are narrower than w = 4. As φ increases to 0.1 and 0.25%, the widest 10% of the clogs surpass w = 8. Higher probability of wider clogs with increasing φ is due to the increase in clogging frequency with increasing φ (Table ). Frequent truncation of clog growth and initiation of new clogs in each channel leads to the formation of clogs upstream in wider regions of the channels (w ∼ x). As a point of comparison, the probability of rigid granular particles clogging a hopper vanishes as w → 6 . However, P(W > w) shows no strong dependence on ∆P (see Fig. in SI).