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pith:PO3FSLNL

pith:2026:PO3FSLNLYUTKBZX6WLT5R73HZE

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Stochastic Safety Limits and Scale-Dependent Power Fluctuations in Nuclear Reactors: A Critical Scaling Approach

V. V. Ryazanov

Boundary functionals of random risk processes calculate statistics of reactor power peaks and catastrophic surge probabilities using stable neutron distributions.

arxiv:2605.15283 v1 · 2026-05-14 · cond-mat.dis-nn · math.PR

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Claims

C1strongest claim

Boundary functionals allow us to accurately calculate the statistics of random events, determine the behavior of reactor power peaks, the probabilities of catastrophic power surges, and other quantities important for reactor safety, providing a mathematical bridge between the abstract theory of directed percolation and engineering calculations of protection parameters.

C2weakest assumption

That neutron behavior in reactor startup and certain reactor types is governed by stable limiting distributions (to which sums of random variables converge) rather than Gaussian, and that boundary functionals of random risk processes can be directly mapped onto these physical neutron processes without additional modeling adjustments.

C3one line summary

Applies first-passage times of boundary functionals in stable random processes to estimate reactor power peaks and catastrophic surge probabilities.

References

32 extracted · 32 resolved · 1 Pith anchors

[1] I. Pázsit and L. Pál, Neutron Fluctuations - a Treatise on the Physics of Branching Processes (Elsevier Ltd., London, New York, Tokyo, 2008). 27 2008

[2] E. Horton, A. E. Kyprianou , Stochastic Neutron Transport And Non -Local Branching Markov Processes (Birkhäuser Cham, 2023, 272 p.) 2023

[3] R.Sanchez, Annals of Nuclear Energy, 6, 88–98 (2015) 2015

[4] I. Pázsit & Z. Kuang, Progress in Nuclear Energy, 31(3), 219-244, (1997) 1997

[5] Williams, Random Processes in Nuclear Reactors (Pergamon, 1974) 1974

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Receipt and verification

First computed	2026-05-20T00:00:50.569638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bb6592dabc526a0e6feb2e7d8ff67c915b505f216fae1b41a7f6dee9e4c9853

Aliases

arxiv: 2605.15283 · arxiv_version: 2605.15283v1 · doi: 10.48550/arxiv.2605.15283 · pith_short_12: PO3FSLNLYUTK · pith_short_16: PO3FSLNLYUTKBZX6 · pith_short_8: PO3FSLNL

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PO3FSLNLYUTKBZX6WLT5R73HZE \
  | 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: 7bb6592dabc526a0e6feb2e7d8ff67c915b505f216fae1b41a7f6dee9e4c9853

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a54a55faec37a95b159b5bead98ea5171f366bc37e3158e8a239506e10316b0",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2026-05-14T18:00:48Z",
    "title_canon_sha256": "762c51394cfb7f27a819a0f043af8e19a33bc5c2a0ecec7ebc8146dfe409f57c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15283",
    "kind": "arxiv",
    "version": 1
  }
}