{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"c57a7ed4fb4d1ba1803c1178670f4deb82a89aded10142c88cee440baa38fab2","created":"2026-10-15T23:43:22Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["9c4d47388adaf85a19469df38e4bc899d0a05ef3e384ae972ca6a103f3323ebd","ce59fb6cd812fc05906d0c60a71c75ea22bc686bcf38e7c3ef7010834d98ee7b"],"salt":"3979a39658fbb75b64b40714516636974cf43a838eb892630c153febc84f7a36","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"value","assisted_by":[],"external_id":"beams.superheating-field.dynamic-hsh","kind":"well-posed","literature_status":"open","n":"2","parents":[],"plain":"The superheating field is calculated for a steady field, but cavity fields oscillate a billion times per second. Whether the limit is higher, lower or the same under such fast oscillation is not settled.","posed_since":"","precise":"Compute the dynamic superheating field $H_{\\mathrm{sh}}(f,T)$ for an s-wave superconductor driven at $f\\sim 0.1\\text{ to }10\\,\\mathrm{GHz}$, including nonequilibrium quasiparticles and the finite vortex nucleation time, using nonequilibrium quasiclassical (Keldysh-Usadel or Eilenberger) dynamics valid at $T << T_{c}$; time-dependent Ginzburg-Landau theory may be used only as a check near $T_{c}$. An answer gives $H_{\\mathrm{sh}}(f,T)/H_{\\mathrm{sh}}(0,T)$ for Nb and $\\mathrm{Nb_3Sn}$ and the frequency at which it departs from the static value.","problem_ref":"9c4d47388adaf85a19469df38e4bc899d0a05ef3e384ae972ca6a103f3323ebd","references":"","settled_by":"A microscopic nonequilibrium calculation checked against pulsed RF measurements of the quench field versus frequency and pulse length.","status_note":"","title":"Superheating field of a superconductor under GHz radio-frequency drive","topic_ref":null},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"96f63f5c62f863ef01ac5b4283b955079a98c8c83827ab78f06019dfb1535c11","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"80afd3de753c4802c1fbe18dec3b7b0d6676a436224611dfe1aa78defce0fb4b","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"zGWujs7rAsLsU3pd9pjy5RZYYmnxuzSMSXOJe7hIL9aTDoJrRtLhg0g0S6auk91yBqqmzTfiuJnf42OL6MB5Dg"},"schema":"pubphys.envelope/1"},"record_hash":"96f63f5c62f863ef01ac5b4283b955079a98c8c83827ab78f06019dfb1535c11","leaf_index":2546}