Pith Number

pith:R4HODXR4

pith:2026:R4HODXR4RZGXR67TINYRBM4JGS

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Conductance fluctuations in random resistor networks with hyperuniform disorder

Bikram Pal

Conductance fluctuations in hyperuniform resistor networks scale as L to the power of minus d over 2, the same as in ordinary disorder.

arxiv:2604.24789 v2 · 2026-04-25 · cond-mat.stat-mech

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Claims

C1strongest claim

We argue that this is not the case: conductance fluctuations scale as L^{-d/2} for a sampling size L. We show numerical results for d=2.

C2weakest assumption

Small changes in the concentration of bonds present in a local region give rise to a proportionate increase in the locally averaged conductance.

C3one line summary

Conductance fluctuations in hyperuniform resistor networks scale as L^{-d/2} and are not suppressed by the reduced density fluctuations.

References

31 extracted · 0 resolved · 0 Pith anchors

[1] D. Stauffer and A. Aharony,Introduction To Percolation Theory: Second Edition, Taylor & Francis., (1992) 1992

[2] Bollob´ as and O 2006

[3] A. A. Saberi, Phys. Rep.578, 1 (2015) 2015

[4] S. Kirkpatrick,Phys. Rev. Lett.27, 1722 (1971) 1971

[5] G. Kirchhoff, Ann. Phys.148, 497 (1847)

Receipt and verification

First computed	2026-05-21T01:04:26.266420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f0ee1de3c8e4d78fbf3437110b38934906c898f168b402ec098fa02320996e9

Aliases

arxiv: 2604.24789 · arxiv_version: 2604.24789v2 · doi: 10.48550/arxiv.2604.24789 · pith_short_12: R4HODXR4RZGX · pith_short_16: R4HODXR4RZGXR67T · pith_short_8: R4HODXR4

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/R4HODXR4RZGXR67TINYRBM4JGS \
  | 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: 8f0ee1de3c8e4d78fbf3437110b38934906c898f168b402ec098fa02320996e9

Canonical record JSON

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    "abstract_canon_sha256": "33667334e0b125da6dda61cc874d6c79abd9014235ec774c970788af5f24aab9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-04-25T10:17:53Z",
    "title_canon_sha256": "e1fb2f89e5890bd23d3d72f06f274d19efabd4c98d8ea640b1b227c85e4c75e9"
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  "source": {
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    "kind": "arxiv",
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}