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Whether the flow runs along dislocation lines with superfluid cores is not proven.","posed_since":"2008","precise":"Mass flux through solid hcp 4He between superfluid reservoirs (Ray and Hallock 2008) depends nonlinearly on the chemical-potential difference and strongly on temperature; path-integral Monte Carlo predicts superfluid dislocation cores and 'superclimb', climb fed by core superflow (Soyler et al. 2009). Determine whether flow and isochoric compressibility are carried by dislocation cores, by measuring them in crystals of known dislocation density and orientation. An answer is a quantitative relation of flux and compressibility to dislocation density.","problem_ref":null,"references":"","settled_by":"Flow and compressibility measured in crystals with independently characterized dislocation networks (e.g. x-ray topography), scaling as the superclimb model predicts.","status_note":"Giant plasticity from dislocations unpinned from 3He impurities was established around 2013; superfluid-core transport is supported by simulation but not directly confirmed.","title":"Superclimb of dislocations and mass flow through solid 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