{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"6b7b601ce9d9c66fe7e4158f840e0e246b74040487408a431a2e6af1ca7c89d0","created":"2026-10-03T07:17:59Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"9769cc144386d52b4c35b92dbd551ebee16ae3f23c3bee7e74899a22e7ebfbdc","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"classification","assisted_by":[],"external_id":"cm.dqpt.scaling-universality","kind":"well-posed","literature_status":"open","n":"1","parents":[],"plain":"Ordinary phase transitions have universal exponents shared by very different materials. Whether the kinks in the return probability have universal exponents in interacting two- and three-dimensional systems is not known.","posed_since":"","precise":"Near $t_c$, determine whether $\\ell(t)-\\ell(t_c)\\sim \\left|t-t_c\\right|^a$ with exponent a independent of microscopic details for interacting models in $d=2,3$ (e.g. the transverse-field Ising model quenched from the paramagnet deep into the ferromagnet). Answer: values of a and their classification.","problem_ref":null,"references":"","settled_by":"Large-scale 2D numerics (tensor networks or neural quantum states) plus a renormalization-group theory predicting the exponents.","status_note":"Heyl (2015) derived universal scaling for a class of Ising-type quenches; generic interacting cases remain open.","title":"Universal scaling near dynamical transitions in interacting systems","topic_ref":"f0f2c6f7bdd6262d6700dc8806ab5f70f58e1999b1e12bad11c2bf274d3c1f12"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"6805e41d999527672a47e479230c70361d0354e08bb8d3f7a049881c0427af25","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"40b03c5f67e6d9be7f91687cbe2bf418415e51ea799864bac78e9acea74f6ced","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"f2phiY84Gv_Qv--SebIdQL_ePmeYbacJHUdB-ns4JytexaUJnGwnyDauj3B9v2hrzpCaYnj3ovZwxbfVq5b6BA"},"schema":"pubphys.envelope/1"},"record_hash":"6805e41d999527672a47e479230c70361d0354e08bb8d3f7a049881c0427af25","leaf_index":958}