{"schema":"pubphys.bundle/1","record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"35532d1cd22d887b01b4c8536814d86f972c8c07422371ae09edd6717ca5e4f0","created":"2026-10-15T23:43:22Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["0a23c42525741a6fc8d4bd4afea5ffff5b2f71c7f06972db253b8a562cfae3b6","ce59fb6cd812fc05906d0c60a71c75ea22bc686bcf38e7c3ef7010834d98ee7b"],"salt":"93ebd57072aeedd1658fb08e299c72d7f6679a78e5f16799ef1c8e98409f5018","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"yes-no","assisted_by":[],"external_id":"bio.glass-transition.kauzmann-ideal-glass","kind":"well-posed","literature_status":"contested","n":"2","parents":[],"plain":"If one extrapolates the entropy of a cooling liquid, it seems to drop to that of the crystal at a finite temperature, the Kauzmann temperature, where an ideal glass would form. Whether this really happens, or the extrapolation fails, is unknown.","posed_since":"1948","precise":"For 3D glass formers with short-range interactions in equilibrium, determine whether the configurational entropy $s_{c}(T)$ (total entropy minus the vibrational entropy of the inherent structures) vanishes at a finite Kauzmann temperature $T_{K} > 0$ with a thermodynamic singularity, or remains positive down to $T = 0$. An answer is a proof for a realistic model or finite-size-scaling evidence (configurational entropy, point-to-set length, overlap fluctuations) from equilibrium data below $T_{g}$ that discriminates the two cases.","problem_ref":"0a23c42525741a6fc8d4bd4afea5ffff5b2f71c7f06972db253b8a562cfae3b6","references":"","settled_by":"Equilibrium simulations reaching temperatures where $s_c(T)$ and the point-to-set length either extrapolate to a finite-T singularity with finite-size scaling, or are shown to stay regular, in a $3\\mathrm{D}$ model.","status_note":"Equilibrium simulations of $2\\mathrm{D}$ glass formers since 2019 indicate a transition only at $T = 0$, and a 2025 numerical study revisited the $2\\mathrm{D}$ case; the $3\\mathrm{D}$ question remains open in 2026.","title":"Does an ideal glass transition occur at finite temperature in 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