{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"3f012a939cfc6ac045ed2ff3edc0418ae861850c84098184fb1ece49e9bfa829","created":"2026-10-15T23:43:22Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["b5386c02fad8d1191392bb60f49da2f511c4026165fe493120529009c3a0912a","ce59fb6cd812fc05906d0c60a71c75ea22bc686bcf38e7c3ef7010834d98ee7b"],"salt":"0f8ce401bc42154065c57aacb81157e70813662b07751e0601756edd375fd504","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"yes-no","assisted_by":[],"external_id":"stat.synchronization-networks.oscillator-glass","kind":"well-posed","literature_status":"open","n":"2","parents":[],"plain":"If oscillators are coupled with random signs, like spins in a spin glass, they may freeze into a disordered locked pattern, an oscillator glass. A peculiar transition seen in simulations in 1992 suggested this, but whether a true glass phase exists is unknown.","posed_since":"1992","precise":"For dtheta_i/dt = $\\omega_i$ + sum_j $J_{ij}$ sin(theta_j - theta_i) with Gaussian omega_i of unit variance and symmetric Gaussian couplings J_ij of variance $J^2/N$ (the Daido model), determine whether for $J$ above some $J_g$ the $N \\to \\infty$ dynamics has a frozen component, for example a nonzero limit of $C(\\tau) = (1/2N) \\sum_i \\langle \\cos(\\theta_i(t+\\tau) - \\theta_i(t))\\rangle$ as $\\tau \\to \\infty$. The volcano transition near $J = 1.3$ (a change in shape of the local-field distribution) is established; its relation to a glass phase is the question. Answer: yes or no, with $J_g$.","problem_ref":"b5386c02fad8d1191392bb60f49da2f511c4026165fe493120529009c3a0912a","references":"","settled_by":"A dynamical mean-field (cavity) solution at large J showing presence or absence of a persistent correlation plateau, confirmed by large-N simulations.","status_note":"A 2024 dynamical-cavity analysis explained the volcano transition and found no persistent correlation in the accessible range, arguing it does not imply a glass (arXiv:2310.09079).","title":"Existence of an oscillator glass in randomly coupled phase oscillators","topic_ref":null},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"492a96ca1a7f1349278b1348627df2e7b402a02824b6e9858070904685b5e941","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"e0a61540066d2f1b2ae50b4e28d79ac9905d74f0561f10d305e087647a8e0a02","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"YrbjxK8FihHzhlaq9-SULeC3a3rgmjiFkqRnqkkp-FCH87_KnvpB9tvSvKOidj1Jj8A_Fwjfly3P2ugwynZ7Ag"},"schema":"pubphys.envelope/1"},"record_hash":"492a96ca1a7f1349278b1348627df2e7b402a02824b6e9858070904685b5e941","leaf_index":3802}