{ "id": "1903.04363", "version": "v1", "published": "2019-03-11T15:19:13.000Z", "updated": "2019-03-11T15:19:13.000Z", "title": "Effects of small-scale dynamo and compressibility on the $Λ$ effect", "authors": [ "Petri J. Käpylä" ], "comment": "7 pages, 6 figures, submitted to Astron. Nachr", "categories": [ "astro-ph.SR", "physics.flu-dyn" ], "abstract": "The $\\Lambda$ effect describes a rotation-induced non-diffusive contribution to the Reynolds stress. It is commonly held responsible for maintaining the observed differential rotation of the Sun and other late-type stars. Here the sensitivity of the $\\Lambda$ effect to small-scale magnetic fields and compressibility is studied by means of forced turbulence simulations either with anisotropic forcing in fully periodic cubes or in density-stratified domains with isotropic forcing. Effects of small-scale magnetic fields are studied in cases where the magnetic fields are self-consistently generated by a small-scale dynamo. The results show that small-scale magnetic fields lead to a quenching of the $\\Lambda$ effect which is milder than in cases where also a large-scale field is present. The effect of compressibility on the $\\Lambda$ effect is negligible in the range of Mach numbers from $0.015$ to $0.8$. Density stratification induces a marked anisotropy in the turbulence and a vertical $\\Lambda$ effect if the forcing scale is roughly two times larger than the density scale height.", "revisions": [ { "version": "v1", "updated": "2019-03-11T15:19:13.000Z" } ], "analyses": { "keywords": [ "small-scale dynamo", "small-scale magnetic fields", "compressibility", "density stratification induces", "density scale height" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }