{"paper":{"title":"Paradoxical diffusion: Discriminating between normal and anomalous random walks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Bartlomiej Dybiec, Ewa Gudowska-Nowak","submitted_at":"2009-05-09T18:54:05Z","abstract_excerpt":"Commonly, normal diffusive behavior is characterized by a linear dependence of the second central moment on time, $< x^2(t) >\\propto t$, while anomalous behavior is expected to show a different time dependence, $ < x^2(t) > \\propto t^{\\delta}$ with $\\delta <1$ for subdiffusive and $\\delta >1$ for superdiffusive motions. Here we demonstrate that this kind of qualification, if applied straightforwardly, may be misleading: There are anomalous transport motions revealing perfectly \"normal\" diffusive character ($< x^2(t) >\\propto t$), yet being non-Markov and non-Gaussian in nature. We use recently"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.1429","kind":"arxiv","version":3},"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"}