{ "id": "0902.4484", "version": "v1", "published": "2009-02-25T23:19:37.000Z", "updated": "2009-02-25T23:19:37.000Z", "title": "Resistive relaxation of a magnetically confined mountain on an accreting neutron star", "authors": [ "M. Vigelius", "A. Melatos" ], "comment": "accepted by MNRAS", "doi": "10.1111/j.1365-2966.2009.14698.x", "categories": [ "astro-ph.HE" ], "abstract": "Three-dimensional numerical magnetohydrodynamic (MHD) simulations are performed to investigate how a magnetically confined mountain on an accreting neutron star relaxes resistively. No evidence is found for non-ideal MHD instabilities on a short time-scale, such as the resistive ballooning mode or the tearing mode. Instead, the mountain relaxes gradually as matter is transported across magnetic surfaces on the diffusion time-scale, which evaluates to $\\tau_\\mathrm{I} \\sim 10^5 - 10^8$ yr (depending on the conductivity of the neutron star crust) for an accreted mass of $M_a = 1.2 \\times 10^{-4} M_\\odot$. The magnetic dipole moment simultaneously reemerges as the screening currents dissipate over $\\tau_\\mathrm{I}$. For nonaxisymmetric mountains, ohmic dissipation tends to restore axisymmetry by magnetic reconnection at a filamentary neutral sheet in the equatorial plane. Ideal-MHD oscillations on the Alfv\\'{e}n time-scale, which can be excited by external influences, such as variations in the accretion torque, compress the magnetic field and hence decrease $\\tau_\\mathrm{I}$ by \\change{one order of magnitude} relative to its standard value (as computed for the static configuration). The implications of long-lived mountains for gravitational wave emission from low-mass X-ray binaries are briefly explored.", "revisions": [ { "version": "v1", "updated": "2009-02-25T23:19:37.000Z" } ], "analyses": { "keywords": [ "accreting neutron star", "magnetically confined mountain", "resistive relaxation", "neutron star relaxes", "magnetic dipole moment simultaneously reemerges" ], "tags": [ "journal article" ], "publication": { "publisher": "Wiley-Blackwell", "journal": "Monthly Notices of the Royal Astronomical Society", "year": 2009, "month": "Jun", "volume": 395, "number": 4, "pages": 1985 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 814216, "adsabs": "2009MNRAS.395.1985V" } } }