Alfven seismic vibrations of crustal solid-state plasma in quaking paramagnetic neutron star
arXiv:1011.1346 · doi:10.1063/1.3518758
Abstract
Magneto-solid-mechanical model of two-component, core-crust, paramagnetic neutron star responding to quake-induced perturbation by differentially rotational, torsional, oscillations of crustal electron-nuclear solid-state plasma about axis of magnetic field frozen in the immobile paramagnetic core is developed. Particular attention is given to the node-free torsional crust-against-core vibrations under combined action of Lorentz magnetic and Hooke's elastic forces; the damping is attributed to Newtonian force of shear viscose stresses in crustal solid-state plasma. The spectral formulae for the frequency and lifetime of this toroidal mode are derived in analytic form and discussed in the context of quasi-periodic oscillations of the X-ray outburst flux from quaking magnetars. The application of obtained theoretical spectra to modal analysis of available data on frequencies of oscillating outburst emission suggests that detected variability is the manifestation of crustal Alfven's seismic vibrations restored by Lorentz force of magnetic field stresses.
10 pages, 10 figures
References in corpus (16)
- Strange Quark Matter and Compact Stars
- The strongest cosmic magnets: Soft Gamma-ray Repeaters and Anomalous X-ray Pulsars
- Discovery of Rapid X-ray Oscillations in the Tail of the SGR 1806-20 Hyperflare
- Detection with RHESSI of high frequency X-ray oscillations in the tail of the 2004 hyperflare from SGR 1806-20
- Solid Quark Stars?
- Quaking Neutron Stars
- Strange Quark stars: Observations & Speculations
- Elasticity of nuclear medium as a principal macrodynamical promoter of electric dipole pygmy resonance
- Shear viscosity of degenerate electron matter
- Spheroidal and torsional modes of quasistatic shear oscillations in the solid globe models of nuclear physics and pulsar astrophysics
- Torsional shear oscillations in the neutron star crust driven by restoring force of elastic stresses
- Torsional nodeless vibrations of quaking neutron star restored by combined forces of shear elastic and magnetic field stresses
- Frequency spectrum of toroidal Alfvén mode in a neutron star with Ferraro's form of nonhomogeneous poloidal magnetic field
- Eigenfrequency of nodeless elastic vibrations locked in the crust of quaking neutron star
- Self-gravitating astrophysical mass with singular central density vibrating in fundamental mode
- Alfven node-free vibrations of white dwarf in the model of solid star with toroidal magnetic field