{"paper":{"title":"Transmission probability through a L\\'evy glass and comparison with a L\\'evy walk","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"A. R. Akhmerov, C. W. Groth, C. W. J. Beenakker","submitted_at":"2011-05-20T18:45:29Z","abstract_excerpt":"Recent experiments on the propagation of light over a distance L through a random packing of spheres with a power law distribution of radii (a socalled L\\'evy glass) have found that the transmission probability T \\propto 1/L^{\\gamma} scales superdiffusively ({\\gamma} < 1). The data has been interpreted in terms of a L\\'evy walk. We present computer simulations to demonstrate that diffusive scaling ({\\gamma} \\approx 1) can coexist with a divergent second moment of the step size distribution (p(s) \\propto 1/s^(1+{\\alpha}) with {\\alpha} < 2). This finding is in accord with analytical predictions "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.4149","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"}