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		| Paper: | 
		Magneto-elastic Oscillations and Magnetar QPOs | 
	 
	
		| Volume: | 
		459, 6th International Conference of Numerical Modeling of Space Plasma Flows (ASTRONUM 2011) | 
	 
	
		| Page: | 
		167 | 
	 
	
		| Authors: | 
		Stergioulas, N.; Gabler, M.; Cerdá-Durán, P.; Font, J. A.; Müller, E. | 
	 
	
	
		| Abstract: | 
		The origin of the quasi-periodic oscillations (QPOs) observed in the
 giant flares of soft gamma-ray repeaters (SGRs) remains uncertain.
 Current models explore the idea that long-term quasi-periodic oscillations
 are trapped at the turning points of the continuum of torsional magneto-elastic
 oscillations in the magnetar's interior.
 After reviewing recent work in this field, we describe our latest
 efforts using two-dimensional, general-relativistic, magneto-hydrodynamical
 simulations, coupled to evolutions of shear waves in the solid crust, in order
 to explore the viability of this model when a purely dipolar magnetic field
 is assumed. We demonstrate the existence of three different
 regimes (a) B < 5 × 1013 G, where crustal shear modes dominate
 the evolution; (b)
 5 × 1013 G < B < 1015 G, where Alfvén QPOs are mainly
  confined to the core of the star and the crustal shear modes are damped
 very efficiently; and (c) B > 1015 G, where
 magneto-elastic oscillations reach the surface and approach the behavior of
 purely Alfvén QPOs. Our results do not leave much room for a crustal-mode
 interpretation of observed QPOs in SGR giant flares, in the case of a purely
 dipolar magnetic field. On the other hand, the observed QPOs could originate
 from Alfvén-like, global, turning-point QPOs in models with dipolar magnetic
 field strengths in the narrow range of 5 × 1015 G ≤ B ≤ 1.4 × 1016 G. To agree with estimates for magnetic
 field strengths in known magnetars, a more complicated magnetic field structure
 or superfluidity of the neutrons and superconductivity of the protons
 should be taken into account. | 
	 
	
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