Pith Number

pith:MQRHNT4H

pith:2026:MQRHNT4HG6D4R26P2AC5X4OTND

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Breakdown of Adiabatic Scaling and Noise-Induced Functional Synchronization in Deeply Quiescent Excitable Systems

Yefan Wu

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.

arxiv:2605.06692 v3 · 2026-05-02 · cond-mat.stat-mech · math.PR · nlin.CD · physics.bio-ph · q-bio.MN

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Claims

C1strongest 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.

C2weakest 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.

C3one 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.

Receipt and verification

First computed	2026-06-09T02:07:28.622464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

642276cf873787c8ebcfd005dbf1d368c6fa44e9bfeedfdb9debd02e46535737

Aliases

arxiv: 2605.06692 · arxiv_version: 2605.06692v3 · doi: 10.48550/arxiv.2605.06692 · pith_short_12: MQRHNT4HG6D4 · pith_short_16: MQRHNT4HG6D4R26P · pith_short_8: MQRHNT4H

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MQRHNT4HG6D4R26P2AC5X4OTND \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 642276cf873787c8ebcfd005dbf1d368c6fa44e9bfeedfdb9debd02e46535737

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a73bc6706eb6446247cb2345ce9dcaf8d27d1e3975309cbe52741c28bc96075",
    "cross_cats_sorted": [
      "math.PR",
      "nlin.CD",
      "physics.bio-ph",
      "q-bio.MN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-05-02T21:23:38Z",
    "title_canon_sha256": "ead8f7d673784a77b82b783090246c626f756663638b8af5e869aac048d6316d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.06692",
    "kind": "arxiv",
    "version": 3
  }
}