{ "id": "1601.06348", "version": "v1", "published": "2016-01-24T06:15:15.000Z", "updated": "2016-01-24T06:15:15.000Z", "title": "A new simple dynamo model for stellar activity cycle", "authors": [ "Nobumitsu Yokoi", "Dieter Schmitt", "Valery Pipin", "Fujihiro Hamba" ], "comment": "14 pages, 6 figures", "categories": [ "astro-ph.SR", "physics.flu-dyn" ], "abstract": "A new simple dynamo model for stellar activity cycle is proposed. By considering an inhomogeneous mean flow effect on turbulence, it is shown that turbulent cross helicity (velocity--magnetic-field correlation) should enter the expression of turbulent electromotive force as the coupling coefficient for the mean absolute vorticity. The inclusion of the cross-helicity effect makes the present model different from the current $\\alpha$--$\\Omega$-type models mainly in two points. First, in addition to the usual $\\alpha$ (helicity effect) and $\\beta$ (turbulent magnetic diffusivity), we consider the $\\gamma$ coefficient (cross-helicity effect). Second, unlike the $\\alpha$ and $\\beta$ coefficients, which are often treated as an adjustable parameter in the current studies, the spatiotemporal evolution of $\\gamma$ coefficient should be solved simultaneously with the mean magnetic-field equations. The basic scenario for the stellar activity cycle in the present model is as follows: In the presence of turbulent cross helicity, the toroidal field is induced by the toroidal rotation in mediation by the turbulent cross helicity. Then, as usual models, the $\\alpha$ or helicity effect generates the poloidal field from the toroidal one. This poloidal field, induced by the $\\alpha$ effect, produces a turbulent cross helicity whose sign is opposite to the original one (negative production of cross helicity). The cross helicity with the opposite sign starts producing a reversed toroidal field. Eigenvalue analyses of the simplest possible present model give a butterfly diagram, which confirms the above scenario as well as the equator-ward migrations, the phase relationship between the cross helicity and magnetic fields, etc.", "revisions": [ { "version": "v1", "updated": "2016-01-24T06:15:15.000Z" } ], "analyses": { "keywords": [ "stellar activity cycle", "simple dynamo model", "turbulent cross helicity", "poloidal field", "coefficient" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160106348Y" } } }