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The turbulent model includes a dominant space-scale $\\ell\\sim N^{-1}$, a dominant time-scale $\\tau$, and is white in time. Under suitable scaling assumption, the polymer density equation, initially a stochastic Fokker-Planck equation in the presence of transport-stretching noise, converges weakly as $N\\uparrow \\infty$ to a limit deterministic equation with a new extra term, a second order operator. This operator, whose shape has been predicted in the physical li","authors_text":"Federico Butori, Yassine Tahraoui","cross_cats":["math-ph","math.AP","math.MP"],"headline":"Under a scaling where turbulent eddies shrink as one over N, the stochastic density equation for FENE polymers converges pathwise to a deterministic equation with an added second-order operator for average turbulent stretching.","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2026-05-15T08:52:04Z","title":"Turbulent stretching of FENE dumbbell polymer model via special stochastic scaling and singular limits"},"references":{"count":41,"internal_anchors":0,"resolved_work":41,"sample":[{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":1,"title":"Nonlinear elastic polymers in random flow","work_id":"fa0c11ff-49a8-4b1f-ac5f-2730f3a3e3b0","year":2005},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":2,"title":"A. Agresti, F. 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