{"paper":{"title":"Energy spectrum of two-dimensional acoustic turbulence","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["nlin.CD","physics.flu-dyn"],"primary_cat":"cond-mat.other","authors_text":"Adam Griffin, Giorgio Krstulovic, Sergey Nazarenko, Victor L'vov","submitted_at":"2021-12-20T16:38:45Z","abstract_excerpt":"We report an exact unique constant-flux power-law analytical solution of the wave kinetic equation for the turbulent energy spectrum, $E(k)=C_1 \\sqrt{\\varepsilon\\, a c_{\\rm s} }/k$, of acoustic waves in 2D with almost linear dispersion law, $\\omega_k = c_{\\rm s} k[1+(ak)^2]$, $ ak \\ll 1$. Here $\\varepsilon$ is the energy flux over scales, and $C_1$ is the universal constant which was found analytically. Our theory describes, for example, acoustic turbulence in 2D Bose-Einstein condensates (BECs). The corresponding 3D counterpart of turbulent acoustic spectrum was found over half a century ago,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.10662","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2112.10662/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}