{"schema":"pubphys.bundle/1","record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"7c52cbe445d1aac83fe738814ec5a87a45a9c203bb3208d55056b5d7649edbc3","created":"2026-10-15T23:43:22Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["ce59fb6cd812fc05906d0c60a71c75ea22bc686bcf38e7c3ef7010834d98ee7b","f5dcded24d7c5562342011e6bf261919ba1b650a3df17874a750caad82105f23"],"salt":"2b007d33a4f0d6d9fa0fc86fc41814a3d56cd7931008d2651fa2e1e3f5289280","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"yes-no","assisted_by":[],"external_id":"cm.one-over-f-noise.dutta-horn-test","kind":"well-posed","literature_status":"open","n":"2","parents":[],"plain":"One standard explanation says 1/f noise comes from many defects that hop over energy barriers of different heights. It predicts a fixed link between how the noise spectrum bends and how the noise changes with temperature, and whether real metal films obey it quantitatively is not settled.","posed_since":"1979","precise":"In the Dutta-Horn model $S(f, T)$ is a superposition of Lorentzians from thermally activated fluctuators with rates $\\left(1/\\tau_0\\right) \\exp(-E/T)$ and a smooth activation-energy distribution $D(E)$; it predicts $\\alpha(f, T) = 1 - (d \\ln S/d \\ln T - 1)/\\ln(2 \\pi f \\tau_0)$, where $\\alpha = -d \\ln S/d \\ln f$. For thin metal films (for example Au, Cu, Ag, Bi) over $f \\sim 10^{-3} \\text{ to } 10^{3}\\,\\mathrm{Hz}$ and $T \\sim 10 \\text{ to } 500\\,\\mathrm{K}$, determine whether this relation holds with a single $\\tau_0$, and whether $D(E)$ inferred from the noise matches $D(E)$ obtained independently (from internal friction or defect spectroscopy).","problem_ref":"f5dcded24d7c5562342011e6bf261919ba1b650a3df17874a750caad82105f23","references":"","settled_by":"Noise spectra over at least six decades of $f$ at many temperatures on one film, with the fluctuator energy distribution measured independently, testing the predicted relation with $\\tau_0$ as the only parameter.","status_note":"","title":"Does the Dutta-Horn fluctuator model describe 1/f noise in metal 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