{"paper":{"title":"Hydrodynamic turbulence as a problem in nonequilibrium statistical mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"physics.flu-dyn","authors_text":"David Ruelle","submitted_at":"2012-10-08T18:34:47Z","abstract_excerpt":"We reformulate the problem of hydrodynamic turbulence as a heat flow problem. We obtain thus a prediction $$ \\zeta_p={p\\over3}-{1\\over\\ln\\kappa}\\ln\\Gamma({p\\over3}+1) $$ for the exponents of the structure functions ($<|\\Delta_rv|^p>=r^{\\zeta_p}$). The meaning of the adjustable parameter $\\kappa$ is that when an eddy of size $r$ has decayed to eddies of size $r/\\kappa$ their energies have a thermal distribution. The above formula, with $(\\ln\\kappa)^{-1}=.32\\pm.01$ is compatible with experimental data. This agreement lends supports to our physically motivated picture of turbulence."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.2374","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"}