{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"cfa1eff8d66193dde55e3512e8293b00fd9bd8647a4af297ef9ac4d438f59d14","created":"2026-10-03T07:17:57Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"ba0c1008e0e7540efbb5f85e2604b32098bece6077d4111eda2390dea6eefd21","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":"1","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":null,"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 3D","topic_ref":"b6cec0edf29a3e5b5b7b70395d6ca2460f15dfb7644125d881ab5595366caa14"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"0a23c42525741a6fc8d4bd4afea5ffff5b2f71c7f06972db253b8a562cfae3b6","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"ba0bbb6a9caf70c298ca01c2a8be09113ceb1e000452abb9bd0deded484a3740","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"I96QKGwt9ckYjVgkNQfaAk8RnTrkRW3K5w6i3ofgLFZTSgA5OHqQLXyMIUiYJdYa_fX9GggTVY59MjWRL9SdCw"},"schema":"pubphys.envelope/1"},"record_hash":"0a23c42525741a6fc8d4bd4afea5ffff5b2f71c7f06972db253b8a562cfae3b6","leaf_index":778}