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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 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