{"paper":{"title":"Roughness and multiscaling of planar crack fronts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Lasse Laurson, Stefano Zapperi","submitted_at":"2010-09-30T13:47:22Z","abstract_excerpt":"We consider numerically the roughness of a planar crack front within the long-range elastic string model, with a tunable disorder correlation length $\\xi$. The problem is shown to have two important length scales, $\\xi$ and the Larkin length $L_c$. Multiscaling of the crack front is observed for scales below $\\xi$, provided that the disorder is strong enough. The asymptotic scaling with a roughness exponent $\\zeta \\approx 0.39$ is recovered for scales larger than both $\\xi$ and $L_c$. If $L_c > \\xi$, these regimes are separated by a third regime characterized by the Larkin exponent $\\zeta_L \\a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.6129","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":""},"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"}