{"paper":{"title":"Length-scale selection in adaptive transport networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"A continuum model of adaptive transport networks reveals a finite-wavelength instability that selects channel spacing with a -1/4 power-law scaling.","cross_cats":[],"primary_cat":"nlin.AO","authors_text":"Eleni Katifori, Geoffrey Vasil, Mia C. Morrell, Sidney Holden","submitted_at":"2026-05-15T16:14:30Z","abstract_excerpt":"Adaptive transport networks in biological and physical systems exhibit hierarchical organization, characteristic channel spacing, and robust scaling relations. Existing adaptive network models, formulated on a lattice, successfully reproduce many observed topologies and conduit scaling laws; however, the mechanism that selects network density and spatial spacing remains unclear. We address this in a continuum formulation where conductivity evolves as a tensor field coupled to pressure-driven flow. Linearizing about a homogeneous conducting state, we identify a finite-wavelength instability wit"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Linearizing about a homogeneous conducting state, we identify a finite-wavelength instability with a -1/4 preferred wavelength scaling in the control parameter.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The continuum evolution rule for the conductivity tensor field is assumed to be the correct minimal description whose linearization around the uniform state produces the observed finite-wavelength instability rather than other mechanisms such as energy minimization alone.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A continuum formulation of adaptive transport networks identifies a finite-wavelength instability with -1/4 wavelength scaling that selects the intrinsic spatial scale of conducting structures.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A continuum model of adaptive transport networks reveals a finite-wavelength instability that selects channel spacing with a -1/4 power-law scaling.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"ae412e6395c3874cfe6af5f36991fbb8ab9bd9c761fab4ab19dbc59c22a90ae3"},"source":{"id":"2605.16130","kind":"arxiv","version":1},"verdict":{"id":"25f7dc74-c085-4c47-9d1f-ce888650fd09","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T16:57:41.651247Z","strongest_claim":"Linearizing about a homogeneous conducting state, we identify a finite-wavelength instability with a -1/4 preferred wavelength scaling in the control parameter.","one_line_summary":"A continuum formulation of adaptive transport networks identifies a finite-wavelength instability with -1/4 wavelength scaling that selects the intrinsic spatial scale of conducting structures.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The continuum evolution rule for the conductivity tensor field is assumed to be the correct minimal description whose linearization around the uniform state produces the observed finite-wavelength instability rather than other mechanisms such as energy minimization alone.","pith_extraction_headline":"A continuum model of adaptive transport networks reveals a finite-wavelength instability that selects channel spacing with a -1/4 power-law scaling."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.16130/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-19T17:33:33.377115Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_title_agreement","ran_at":"2026-05-19T17:31:18.405084Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T17:06:23.594747Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T16:41:55.465662Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"2d5eec45b510ea7e6a77c3c7888022f3d1059601795f7ff9fcd4776c207c3e41"},"references":{"count":44,"sample":[{"doi":"","year":2026,"title":"Length-scale selection in adaptive transport networks","work_id":"f857f25d-2256-422d-8217-6c44925659db","ref_index":1,"cited_arxiv_id":"2605.16130","is_internal_anchor":true},{"doi":"","year":1997,"title":"G. 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