{"paper":{"title":"Passive tracer in a slowly decorrelating random flow with a large mean","license":"","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Lenya Ryzhik, Tomasz Komorowski","submitted_at":"2006-07-25T00:44:55Z","abstract_excerpt":"We consider the movement of a particle advected by a random flow of the form $\\vv+\\delta \\bF(\\vx)$, with $\\vv\\in\\R^d$ a constant drift, $\\bF(\\vx)$ -- the fluctuation -- given by a zero mean, stationary random field and $\\delta\\ll 1$ so that the drift dominates over the fluctuation. The two-point correlation matrix $\\bR(\\vx)$ of the random field decays as $|\\vx|^{2\\alpha-2}$, as $|\\vx|\\to+\\infty$ with $\\alpha<1$. The Kubo formula for the effective diffusion coefficient obtained in \\cite{kp79} for rapidly decorrelating fields diverges when $1/2\\le\\alpha<1$. We show formally that on the time scal"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0607056","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"}