{"paper":{"title":"Fundamental MHD scales -- II: the kinematic phase of the supersonic small-scale dynamo","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.HE","physics.flu-dyn","physics.plasm-ph"],"primary_cat":"astro-ph.GA","authors_text":"Christoph Federrath, James R. Beattie, Justin Kin Jun Hew, Mark R. Krumholz, Neco Kriel","submitted_at":"2023-10-25T22:24:14Z","abstract_excerpt":"Many astrophysical small-scale dynamos (SSDs) amplify weak magnetic fields via highly compressible, supersonic turbulence, but established SSD theories have overlooked these compressible effects. To address this, we perform visco-resistive SSD simulations across a range of sonic Mach numbers ($\\mathcal{M}$), hydrodynamic Reynolds numbers ($\\mathrm{Re}$), and magnetic Prandtl numbers ($\\mathrm{Pm}$). We develop robust methods to measure kinetic and magnetic energy dissipation scales ($\\ell_\\nu$ and $\\ell_\\eta$) and the scale of strongest magnetic fields ($\\ell_\\mathrm{p}$) during the kinematic "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.17036","kind":"arxiv","version":5},"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/2310.17036/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"}