{"paper":{"title":"Energy Spectrum of the Random Velocity Field Induced by a Gaussian Vortex Tangle in HeII","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"Makoto Tsubota, Sergey K. Nemirovskii, Tsunehiko Araki","submitted_at":"2001-12-05T12:53:27Z","abstract_excerpt":"Using the Gaussian model of the vortex tangle (VT) arising in the turbulent superfluid HeII, we calculate the energy spectrum $E(k)$ of the 3D random velocity field induced by that VT. If the VT is assumed to be a purely fractal object with Haussdorf dimension $H_D$, the $E(k)$ is a power-like function $E(k)\\propto k^{-2+H_D}$. A more realistic VT in HeII is a semi-fractal object, behaving as smooth line for small separations $\\Delta \\xi \\ll R$ ($\\xi $ is the label coordinate, $R$ is mean curvature)and having a random walk structure for large $\\Delta \\xi $ with $H_D=2$. For that case calculati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0112068","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"}