Abstract
We investigate the amplification of gravity-capillary waves on the surface of a liquid metal, immersed in a strong magnetic field, by an external electric field. The implication for the physical situation characteristic for the surface of a neutron star is discussed. In particular, we consider in this paper the magnetic polar-cap region of a neutron star, with the following parameters: the surface magnetic field ≌(1–2)×1012 G; the mass density of matter (iron) in the very surface layer ≌103 g cm−3; the rotationally-induced electric field near the surface ≌106–107 CGSE, to be assumed. It is shown that the instability of gravity-capillary waves develops when the temperature of the liquid phase of matter ≲105 K and the binding energy of ions within the surface ≌0.1–0.2 KeV. The growth time (≈10−9 s) and the characteristic length-scale (≈10−4 cm) of the instability are estimated. We point out the possibility that this instability can initiate an intensive generation of charged particles by the neutron stars (radio pulsars).
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Alpar, A., Brinkmann, W., Kiziloğlu, Ü., Ögelman, H., and Pines, D.: 1987,Astron. Astrophys. 177, 101.
Arons, J.: 1983,Astrophys. J. 266, 215.
Arons, J. and Scharlemann, E. T.: 1979,Astrophys. J. 231, 854.
Badan, V. E., Vladimirov, V. V., and Poritskii, V. Ya.: 1987,Zh. Tekhn. Fiz. 57, 1197.
Brinkmann, W. and Ögelman, H.: 1987, MPE preprint, No. 82.
Cheng, A. F. and Ruderman, M.: 1977,Astrophys. J. 214, 598.
Ecker, G.: 1983,IEEE Trans. on Electrical Insulation, EL-18, p. 243.
Frenkel, Ya. I.: 1936,Zh. Eksperim. Teor. Fiz. 6, 347.
Giacconi, R., Branduardi, G., Briel, U., et al. (31 authors): 1979,Astrophys. J. 230, 540.
Hansen, J. P.: 1973,Phys. Rev. A8, 3096.
Jones, P. B.: 1985,Phys. Rev. Letters 55, 1338.
Jones, P. B.: 1986,Monthly Notices Roy. Astron. Soc. 218, 477.
Landau, L. D. and Lifshitz, E. M.: 1959,PitFluid Mechanics, Pergamon Press, Oxford.
Landau, L. D. and Lifshitz, E. M.: 1975,The Classical Theory of Fields, Pergamon Press, Oxford.
Mesyats, G. A.: 1983, inProceedings of the 10th International Symposium on Discharge and Electrical Insulation in Vacuum, New York, U.S.A., IEEE, p. 37.
Mesyats, G. A. and Proskurovskii, D. I.: 1984,The Impulsing Electric Discharge in Vacuo, Nauka, Novosibirsk (in Russian).
Muslimov, A. G. and Tsygan, A. I.: 1987, Preprint No. 1095, A.F. Ioffe Physical Technical Institute, USSR Academy of Sciences, Leningrad.
Nandkumar, R. and Pethick, C. J.: 1984,Monthly Notices Roy. Astron. Soc. 209, 511.
Neuhauser, D., Langanke, K., and Koonin, S. E.: 1986,Phys. Rev. A33, 2084.
Neuhauser, D., Koonin, S. E., and Langanke, K.: 1987,Phys. Rev. A36, 4163.
Nomoto, K. and Tsuruta, S.: 1987,Astrophys. J. 312, 711.
Pollock, E. and Hansen, J.: 1973,Phys. Rev. A8, 3110.
Ruderman, M. and Sutherland, P. G.: 1975,Astrophys. J. 196, 51.
Slattery, W. L., Doolen, G. D., and De Witt, H. E.: 1980,Phys. Rev. A21, 2087.
Sturrock, P. A.: 1971,Astrophys. J. 164, 529.
Tonks, L.: 1935,Phys. Rev. 48, 562.
Vieillefosse, P. and Hansen, J. P.: 1975,Phys. Rev. A12, 1106.
Yakovlev, D. G.: 1984,Astrophys. Space Sci. 98, 37.
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Muslimov, A.G., Tsygan, A.I. The instability of gravity-capillary waves in the strong electric and magnetic fields on a neutron-star surface. Astrophys Space Sci 152, 71–84 (1989). https://doi.org/10.1007/BF00645987
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DOI: https://doi.org/10.1007/BF00645987