{"paper":{"title":"Hyperuniformity Classes of Quasiperiodic Tilings via Diffusion Spreadability","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"cond-mat.stat-mech","authors_text":"Adam Hitin-Bialus, Charles Emmett Maher, Paul J. Steinhardt, Salvatore Torquato","submitted_at":"2024-05-06T18:00:02Z","abstract_excerpt":"Hyperuniform point patterns can be classified by the hyperuniformity scaling exponent $\\alpha > 0$, that characterizes the power-law scaling behavior of the structure factor $S(\\mathbf{k})$ as a function of wavenumber $k\\equiv|\\mathbf{k}|$ in the vicinity of the origin, e.g., $S(\\mathbf{k})\\sim|\\mathbf{k}|^{\\alpha}$ in cases where $S(\\mathbf{k})$ varies continuously with $k$ as $k\\rightarrow0$. In this paper, we show that the spreadability is an effective method for determining $\\alpha$ for quasiperiodic systems where $S(\\mathbf{k})$ is discontinuous and consists of a dense set of Bragg peaks."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.03752","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2405.03752/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","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"}