Abstract
The propagation of axially symmetric magnetoelastic waves near the equatorial plane of the crust of a neutron star embedded in a transverse magnetic field is examined. The crust is treated as a solid-state plasma and waves are excited in it in the form of a transverse magnetic field applied to the inner boundary of the star’s crust. The time dependent equation is solved in a linear approximation assuming that the perturbing magnetic field is small compared to the unperturbed field. A simple, exact solution in the form of linear gaussian beams is obtained without additional conditions being imposed on the dissipation, dispersion, and narrowness of the beam, provided only that the velocity cn of these waves depends weakly on position. This last condition is satisfied for the plasma in the crust of a neutron star. As it propagates to the star’s surface, the radius of the beam remains constant. The electric currents generated by the wave beam on the star’s surface are also calculated.
Similar content being viewed by others
References
D. M. Sedrakian, Astrofizika 31, 101 (1989).
U. N. Nigul and Yu. K. Engel’brekht, Nonlinear and Linear Transient Wave Processes [in Russian], Izd. AN ESSR, Tallin (1972).
A. G. Bagdoev, Wave Propagation in Continuous Media [in Russian], Erevan (1981), p. 327.
P. Carbonaro, ZAMP 37, 43 (1986).
J. K. Hunter and J. B. Keller, Comm. on Pure and Appl. Math. 36, 547 (1983).
S. G. Sahakyan, Information Technologies and Management 4, 122–131 (2001).
V. V. Kaner and O. V. Rudenko, Vestnik MGU, ser. Fiz. Astr. 19, 78 (1978).
A. G. Bagdoev and A. V. Shekoyan, Izv. AN Arm SSR, Mekhanika 40, 14 (1987).
A. G. Bagdoev and D. M. Sedrakian, Astrofizika 44, 139 (2001).
A. G. Bagdoev and D. M. Sedrakian, Astrofizika 45, 65 (2002).
D. M. Sedrakian and A. D. Sedrakian, Zh. eksp. i teor. fiz. 100, No. 2 (8), 353 (1991).
D. M. Sedrakian, Astrofizika 43, 377 (2000).
D. M. Sedrakian, Astrofizika 46, 87 (2003).
D. M. Sedrakian and A. K. Avetisyan, Astrofizika 26, 489 (1987).
Author information
Authors and Affiliations
Corresponding author
Additional information
__________
Translated from Astrofizika, Vol. 50, No. 4, pp. 547–556 (November 2007).
Rights and permissions
About this article
Cite this article
Sedrakian, D.M., Bagdoev, A.G. & Hayrapetyan, M.V. Wave beams in the magnetoelastic crust of pulsars. Astrophysics 50, 451–459 (2007). https://doi.org/10.1007/s10511-007-0042-6
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10511-007-0042-6