{"paper":{"title":"Conductance fluctuations in random resistor networks with hyperuniform disorder","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Conductance fluctuations in hyperuniform resistor networks scale as L to the power of minus d over 2, the same as in ordinary disorder.","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Bikram Pal","submitted_at":"2026-04-25T10:17:53Z","abstract_excerpt":"We study conductance fluctuations in random resistor networks with hyperuniform bond disorder, where the fluctuations of the number of bonds present in a test volume $V$ scale as $V^{-a}$ with $a > 1/2$. Since small changes in the concentration of bonds present in a local region give rise to a proportionate increase in the locally averaged conductance, one may expect that in hyperuniform disorder, conductance fluctuations will also show suppressed fluctuations. We argue that this is not the case: conductance fluctuations scale as $L^{-d/2}$ for a sampling size $L$. We show numerical results fo"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"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.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"Small changes in the concentration of bonds present in a local region give rise to a proportionate increase in the locally averaged conductance.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Conductance fluctuations in hyperuniform resistor networks scale as L^{-d/2} and are not suppressed by the reduced density fluctuations.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Conductance fluctuations in hyperuniform resistor networks scale as L to the power of minus d over 2, the same as in ordinary disorder.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"63ed7866922d50f6af78dbc3d2968baf2e16800ca9661034aab5c84591935649"},"source":{"id":"2604.24789","kind":"arxiv","version":2},"verdict":{"id":"b1bfcd68-3a6f-42b4-8bb4-7c7cd8c3e200","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-08T07:02:05.035360Z","strongest_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.","one_line_summary":"Conductance fluctuations in hyperuniform resistor networks scale as L^{-d/2} and are not suppressed by the reduced density fluctuations.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"Small changes in the concentration of bonds present in a local region give rise to a proportionate increase in the locally averaged conductance.","pith_extraction_headline":"Conductance fluctuations in hyperuniform resistor networks scale as L to the power of minus d over 2, the same as in ordinary disorder."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.24789/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"doi_compliance","ran_at":"2026-05-19T23:23:19.265935Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"dceafea3b037efb9b81c6a34460a9aa46c5407ec2089d67070448a6b02af030e"},"references":{"count":31,"sample":[{"doi":"","year":1992,"title":"D. Stauffer and A. Aharony,Introduction To Percolation Theory: Second Edition, Taylor & Francis., (1992)","work_id":"","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2006,"title":"Bollob´ as and O","work_id":"","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2015,"title":"A. A. Saberi, Phys. Rep.578, 1 (2015)","work_id":"","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1971,"title":"S. Kirkpatrick,Phys. Rev. Lett.27, 1722 (1971)","work_id":"","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"G. Kirchhoff, Ann. Phys.148, 497 (1847)","work_id":"","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":0,"snapshot_sha256":"ca3e2a5ff1501daf69e69b80776ddda7e1bfb94e17f2c1330aa3be91fa493abc","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"}