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Asymptotic, non-linear solutions for ambipolar diffusion in one dimension

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Date
2010
Author
Hoyos J.H.
Reisenegger A.
Valdivia J.A.

Citación

       
TY - GEN T1 - Asymptotic, non-linear solutions for ambipolar diffusion in one dimension AU - Hoyos J.H. AU - Reisenegger A. AU - Valdivia J.A. Y1 - 2010 UR - http://hdl.handle.net/11407/1366 AB - ER - @misc{11407_1366, author = {Hoyos J.H. and Reisenegger A. and Valdivia J.A.}, title = {Asymptotic, non-linear solutions for ambipolar diffusion in one dimension}, year = {2010}, abstract = {}, url = {http://hdl.handle.net/11407/1366} }RT Generic T1 Asymptotic, non-linear solutions for ambipolar diffusion in one dimension A1 Hoyos J.H. A1 Reisenegger A. A1 Valdivia J.A. YR 2010 LK http://hdl.handle.net/11407/1366 AB OL Spanish (121)
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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.
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http://hdl.handle.net/11407/1366
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