{"schema":"pubphys.bundle/1","record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"21ae871e367d75466ee707aa14d5c90bfec05e22214caa8aaf533df941eefed2","created":"2026-10-03T07:18:00Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["53307f8d4e492fd5c57cb409f68e6e93ca917a75d66291e45a240f921213cd6c","5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"a125a452429df38bc8a2d330821216f3046c283c8f1f1b59035f22318e769a67","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"value","assisted_by":[],"external_id":"cm.nonthermal-fixed-points.anomalous-2d-vortex","kind":"well-posed","literature_status":"open","n":"1","parents":[{"note":"","parent_revision":"53307f8d4e492fd5c57cb409f68e6e93ca917a75d66291e45a240f921213cd6c","relation":"special_case"}],"plain":"In a flat two-dimensional atomic gas stirred into a tangle of vortices (tiny whirlpools), simulations find correlations stretching much more slowly than standard coarsening theory predicts. The true slowing law, and whether it is universal, is not settled.","posed_since":"2017","precise":"For the 2D Gross-Pitaevskii field after a quench to a dense vortex ensemble, classical-field simulations (Karl and Gasenzer, New J. Phys. 19, 093014, 2017) find a strongly anomalous fixed point with dynamical exponent $z \\sim 5$ ($\\beta = 1/z \\sim 0.2$) and anomalous exponent $\\eta \\sim -3$, compared with $z$ of about 2 for ordinary vortex-annihilation coarsening. Determine $z$ at asymptotically long times and large sizes, and whether it depends on the initial vortex configuration (random versus clustered). Answer: z with uncertainty and its dependence on initial conditions.","problem_ref":null,"references":"","settled_by":"Gross-Pitaevskii simulations over several decades in time with a theory of vortex-cluster dynamics predicting z, checked in a uniform 2D gas experiment.","status_note":"","title":"Dynamical exponent of the vortex-dominated fixed point in two 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