{"schema":"pubphys.bundle/1","record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"4425e40c08fddb4441d78ec387b51545fc84cd8221d43aa2f0677ddd5c4255a4","created":"2026-10-03T07:18:11Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"972507300e9ced4430aaddf4bf6741f58bfa00a5fd37581da6956b9977dc78a6","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"identification","assisted_by":[],"external_id":"stat.kpz-higher-d.experiment-2plus1","kind":"well-posed","literature_status":"partially-resolved","n":"1","parents":[],"plain":"One-dimensional KPZ laws have been seen in liquid-crystal turbulence and in fluids of light, while two-dimensional tests exist only for flat growing films. A clean experiment in another geometry or system would measure the full statistics of a growing two-dimensional surface or its analog, not only its exponents.","posed_since":"","precise":"Measure, in a $2+1$ dimensional KPZ system other than flat thin-film deposition (curved or stationary initial geometry, or the phase of a 2D driven-dissipative condensate), the one-point distribution of $\\chi$ and the spatial and two-time correlation functions, and compare them with simulated universal functions for that geometry (exponents alpha approximately 0.39, z approximately 1.61).","problem_ref":null,"references":"","settled_by":"A measurement whose distribution of $\\chi$, including skewness and kurtosis, and whose two-time correlations agree with simulations for the matching geometry within experimental error.","status_note":"Height distributions matching 2+1 KPZ simulations were measured in CdTe thin films (Almeida, Ferreira, Oliveira, Aarao Reis, Phys. Rev. B 89, 045309, 2014); a 2025 exciton-polariton experiment reported 2D KPZ scaling of phase correlations (arXiv:2506.15521); curved and stationary geometries and two-time statistics remain untested.","title":"Measuring 2+1 KPZ statistics beyond flat thin-film 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