{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"4a6bc8da72eb84b327f1d067b195866dec92d19c23f5c0dec767b28b48df87ca","created":"2026-10-03T07:18:00Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"8e1ffe98105085c78a8ed5a1d7add8becbe8066154d1bc536f25f9c4b902ebe0","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"mechanism","assisted_by":[],"external_id":"cm.mbl.slow-dynamics-regime","kind":"phenomenon","literature_status":"open","n":"1","parents":[],"plain":"Between the clearly thermal and the apparently localized regimes, disordered chains relax extremely slowly, as power laws in time. What causes this slowness, and whether it ends at a finite time, is unclear.","posed_since":"","precise":"In the random-field Heisenberg chain for disorder between about $2J$ and $W_c$, imbalance and spin autocorrelations decay as power laws or subdiffusively over many decades of time. Identify the mechanism (rare Griffiths regions, many-body resonances, or both) and predict the relaxation time $\\tau(W, L)$. Answer: a theory predicting $\\tau(W)$ and its $L$ dependence, verified by numerics.","problem_ref":null,"references":"","settled_by":"Agreement between predicted resonance statistics and relaxation times and large-scale time evolution and eigenstate data.","status_note":"","title":"Origin of slow relaxation in the intermediate-disorder regime","topic_ref":"7f4724a8f5124a8d3b0876fec78a4f3f0f7b467672032acb318713bcededaa82"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"369d47ff81257c161ac13f9508be2b1099b25a4badf23d6749b88f53ef7c72b3","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"84d1e47ddb66ec0b9b2c0d8fe95775a4e711981fd3a73a317e747963887caa5b","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"8XmpXiqTuocPRRW96BZtA4dpSG-IP4Bl6yWkJ0JEDOJ-Sljcr5NXdUyg6lqjAZ1DSKa-5QntDrufZyvMfkFFDg"},"schema":"pubphys.envelope/1"},"record_hash":"369d47ff81257c161ac13f9508be2b1099b25a4badf23d6749b88f53ef7c72b3","leaf_index":1089}