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Asymptotic, non-linear solutions for ambipolar diffusion in one dimension
dc.creator | Hoyos J.H. | spa |
dc.creator | Reisenegger A. | spa |
dc.creator | Valdivia J.A. | spa |
dc.date.accessioned | 2015-10-09T13:17:52Z | |
dc.date.available | 2015-10-09T13:17:52Z | |
dc.date.created | 2010 | |
dc.identifier.uri | http://hdl.handle.net/11407/1366 | |
dc.description.abstract | We study the effect of the non-linear process of ambipolar diffusion (joint transport of magnetic flux and charged particles relative to neutral particles) on the long-term behaviour of a non-uniform magnetic field in a one-dimensional geometry. Our main focus is the dissipation of magnetic energy inside neutron stars (particularly magnetars), but our results have a wider application, particularly to the interstellar medium and the loss of magnetic flux from collapsing molecular cloud cores. Our system is a weakly ionized plasma in which neutral and charged particles can be converted into each other through nuclear beta decays (or ionization-recombination processes). In the ‘weak-coupling’ limit of infrequent inter-particle interactions, the evolution of the magnetic field is controlled by the beta decay rate and can be described by a non-linear partial integro-differential equation. In the opposite, ‘strong-coupling’ regime, the evolution is controlled by the inter-particle collisions and can be modelled through a non-linear diffusion equation. We show numerically that, in both regimes, ambipolar diffusion tends to spread out the magnetic flux, but, contrary to the normal Ohmic diffusion, it produces sharp magnetic-field gradients with associated current sheets around those regions where the magnetic field is weak. | eng |
dc.language.iso | eng | |
dc.relation.isversionof | http://mnras.oxfordjournals.org/content/408/3/1730.short | spa |
dc.source | Scopus | spa |
dc.title | Asymptotic, non-linear solutions for ambipolar diffusion in one dimension | eng |
dc.type | Article | eng |
dc.rights.accessrights | info:eu-repo/semantics/restrictedAccess | |
dc.rights.accessrights | info:eu-repo/semantics/restrictedAccess | |
dc.contributor.affiliation | Departamento de Ciencias Básicas, Universidad de Medellín, Cra 87 No 30-65, Medellín, Colombia | spa |
dc.contributor.affiliation | Departamento de Astronomía y Astrofísica, Pontificia Universidad Católica de Chile, Casilla 306, Santiago 22, Chile | spa |
dc.contributor.affiliation | Astrophysikalisches Institut Potsdam, An der Sternwarte 16, D-14482 Potsdam, Germany | spa |
dc.contributor.affiliation | Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile | spa |
dc.identifier.doi | 10.1111/j.1365-2966.2010.17237.x | |
dc.subject.keyword | We study the effect of the non-linear process of ambipolar diffusion (joint transport of magnetic flux and charged particles relative to neutral particles) on the long-term behaviour of a non-uniform magnetic field in a one-dimensional geometry. Our main focus is the dissipation of magnetic energy inside neutron stars (particularly magnetars), but our results have a wider application, particularly to the interstellar medium and the loss of magnetic flux from collapsing molecular cloud cores. Our system is a weakly ionized plasma in which neutral and charged particles can be converted into each other through nuclear beta decays (or ionization-recombination processes). In the 'weak-coupling' limit of infrequent inter-particle interactions, the evolution of the magnetic field is controlled by the beta decay rate and can be described by a non-linear partial integro-differential equation. In the opposite, 'strong-coupling' regime, the evolution is controlled by the inter-particle collisions and can be modelled through a non-linear diffusion equation. We show numerically that, in both regimes, ambipolar diffusion tends to spread out the magnetic flux, but, contrary to the normal Ohmic diffusion, it produces sharp magnetic-field gradients with associated current sheets around those regions where the magnetic field is weak. © 2010 The Authors. Journal compilation © 2010 RAS. | eng |
dc.relation.ispartofen | Monthly Notices of the Royal Astronomical Society, noviembre de 2010, volume 408, issue 3, pp 1730-1741 | eng |
dc.title.english | Asymptotic, non-linear solutions for ambipolar diffusion in one dimension | eng |
dc.type.driver | info:eu-repo/semantics/article |
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