{"paper":{"title":"Breakdown of Adiabatic Scaling and Noise-Induced Functional Synchronization in Deeply Quiescent Excitable Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"A logarithmic centroid method recovers adiabatic Kramers scaling from noise jitter in quiescent excitable systems, identifies its strong-noise breakdown, and shows coupling converts local jitter into global synchronization.","cross_cats":["math.PR","nlin.CD","physics.bio-ph","q-bio.MN"],"primary_cat":"cond-mat.stat-mech","authors_text":"Yefan Wu","submitted_at":"2026-05-02T21:23:38Z","abstract_excerpt":"Coherence resonance (CR) characterizes noise-induced regularity in excitable systems, yet its evaluation in quiescent biological media is often obscured by flattened energy landscapes and complex nonlinear dynamics. In this study, we investigate the stochastic dynamics of a 3D Sherman-Rinzel-Keizer (SRK) model driven by multiplicative Feller noise. We show that traditional extremal evaluations of CR encounter a \"bathtub effect\", a broad resonance valley that can lead to statistical inaccuracies. To address this, we propose a logarithmic centroid extraction method, which filters out stochastic "},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We propose a logarithmic centroid extraction method, which filters out stochastic jitter and recovers the underlying adiabatic Kramers scaling with high linearity (R^2 > 0.95). Furthermore, we identify the physical boundary where this adiabatic approximation breaks down under the strong-noise limit. Extending our analysis to gap-junction coupled systems, we observe a noise-induced transition from sub-threshold physiological shivering to macroscopic functional synchronization.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The 3D Sherman-Rinzel-Keizer model with multiplicative Feller noise is assumed to faithfully represent the stochastic dynamics of deeply quiescent biological excitable media, and the adiabatic Kramers scaling is assumed to hold in the weak-noise regime before the identified breakdown.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A logarithmic centroid method recovers adiabatic Kramers scaling for coherence resonance in a quiescent SRK model and reveals a noise-driven transition to functional synchronization in gap-junction coupled systems.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A logarithmic centroid method recovers adiabatic Kramers scaling from noise jitter in quiescent excitable systems, identifies its strong-noise breakdown, and shows coupling converts local jitter into global synchronization.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"7af245c67b0a43b3e6d803e923ff5210f67932ca6cdb438afb55025bd7c35730"},"source":{"id":"2605.06692","kind":"arxiv","version":3},"verdict":{"id":"9f81f5ab-8665-4083-8916-9f338eb3e6ba","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-14T21:15:49.788712Z","strongest_claim":"We propose a logarithmic centroid extraction method, which filters out stochastic jitter and recovers the underlying adiabatic Kramers scaling with high linearity (R^2 > 0.95). Furthermore, we identify the physical boundary where this adiabatic approximation breaks down under the strong-noise limit. Extending our analysis to gap-junction coupled systems, we observe a noise-induced transition from sub-threshold physiological shivering to macroscopic functional synchronization.","one_line_summary":"A logarithmic centroid method recovers adiabatic Kramers scaling for coherence resonance in a quiescent SRK model and reveals a noise-driven transition to functional synchronization in gap-junction coupled systems.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The 3D Sherman-Rinzel-Keizer model with multiplicative Feller noise is assumed to faithfully represent the stochastic dynamics of deeply quiescent biological excitable media, and the adiabatic Kramers scaling is assumed to hold in the weak-noise regime before the identified breakdown.","pith_extraction_headline":"A logarithmic centroid method recovers adiabatic Kramers scaling from noise jitter in quiescent excitable systems, identifies its strong-noise breakdown, and shows coupling converts local jitter into global synchronization."},"integrity":{"clean":false,"summary":{"advisory":1,"critical":0,"by_detector":{"doi_compliance":{"total":1,"advisory":1,"critical":0,"informational":0}},"informational":0},"endpoint":"/pith/2605.06692/integrity.json","findings":[{"note":"DOI in the printed bibliography is fragmented by whitespace or line breaks. A longer candidate (10.1103/physreve.111.064213journal) was visible in the surrounding text but could not be confirmed against doi.org as printed.","detector":"doi_compliance","severity":"advisory","ref_index":77,"audited_at":"2026-05-19T17:07:58.321778Z","detected_doi":"10.1103/physreve.111.064213journal","finding_type":"recoverable_identifier","verdict_class":"incontrovertible","detected_arxiv_id":null}],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-20T17:39:10.043011Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T17:07:58.321778Z","status":"completed","version":"1.0.0","findings_count":1}],"snapshot_sha256":"f17981195ff5416f5dd13069843bf7f637a5d7acdd00bc37b7e4eeaf416e86c3"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}