{"paper":{"title":"Renormalization Group, Operator Product Expansion, and Anomalous Scaling in a Model of Advected Passive Scalar","license":"","headline":"","cross_cats":["cond-mat","nlin.CD"],"primary_cat":"chao-dyn","authors_text":"Alexander N. Vasil'ev, Loran Ts. Adzhemyan, Nikolaj V. Antonov","submitted_at":"1998-01-27T11:03:07Z","abstract_excerpt":"Field theoretical renormalization group methods are applied to the Obukhov--Kraichnan model of a passive scalar advected by the Gaussian velocity field with the covariance $<{\\bf v}(t,{\\bf x}){\\bf v}(t',{\\bf x})> - < v(t,{\\bf x}){\\bf v}(t',x')> \\propto\\delta(t-t')| x-x'|^{\\eps}$. Inertial range anomalous scaling for the structure functions and various pair correlators is established as a consequence of the existence in the corresponding operator product expansions of ``dangerous'' composite operators [powers of the local dissipation rate], whose negative critical dimensions determine anomalous"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"chao-dyn/9801033","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"}