{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"6a38e56416402052b10ee534493d2866d58162c0000f14fa48aa6ad6c66f4dcb","created":"2026-10-03T07:17:59Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"8bfdc76c772f6895a3b49c195f379ad73bb020955a17f009ed545d1767da0596","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"value","assisted_by":[],"external_id":"cm.electron-hydro.boundary-slip-length","kind":"well-posed","literature_status":"open","n":"1","parents":[],"plain":"How fast a viscous liquid moves at a wall sets the shape of its flow in a channel. For electron liquids this boundary condition depends on how electrons scatter off sample edges and is poorly known.","posed_since":"","precise":"For viscous 2D electron flow in a channel of width w with the Navier boundary condition $u = \\ell_s\\,du/dn$ at the edge, determine the slip length $\\ell_s$ as a function of edge roughness, temperature and electron-electron mean free path $\\ell_{ee}$ in graphene and GaAs heterostructures. Answer: $\\ell_s(T, \\mathrm{roughness})$ from theory confirmed by imaging.","problem_ref":null,"references":"","settled_by":"Imaging of current profiles across channels with controlled edge roughness compared with kinetic-theory boundary calculations.","status_note":"","title":"Boundary slip length of viscous electron flow at sample edges","topic_ref":"3cd00f4643bbd06a95d69c9293583beea1b45782ba2be8604a26a1fe1e9a3620"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"0e630158f0bbf19e31757c7d59d37835d7b6f795dfc3d2a1e70b296a213a92ea","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"d5db7cde592eb53692e7ad6c97522ccebfef4ebb014bc5ba9d96cefada948c9a","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"vuAUYlfvzm8KNJKKEIh802L4WBGqiu-Wq9UWo7fnumcF9SeS9Uk7zwXOwNCH8r1plk3OLomF_TDJY9HpLyQ4AQ"},"schema":"pubphys.envelope/1"},"record_hash":"0e630158f0bbf19e31757c7d59d37835d7b6f795dfc3d2a1e70b296a213a92ea","leaf_index":967}