2D Relativistic Pulsar Winds From Rapidly Rotating Neutron Stars

  • M. Camenzind
Part of the NATO ASI Series book series (ASIC, volume 300)

Abstract

Pulsars are rotating neutron stars surrounded by strong magnetic fields and energetic particles. The structure of both the interior and exterior magnetosphere depends on the strength of the plasma source near the surface of the star. We start our analysis with magnetospheric models including pair-production as proposed by Sturrock, Ruderman and Sutherland, and Arons. In the light of these models, all neutron stars observed as pulsars must have relativistic magnetohydrodynamic wind exterior magnetospheres. Explicit solutions of the pulsar wind equation have so far only been obtained for monopole geometries. We present the most general axisymmetric theory for adiabatic pulsar winds including the gravitational background of the neutron star, the structure of the magnetic flux tube and finite pressure effects. These MHD equations can be reduced to a tractable set of equations consisting of the hot wind equation for the pair plasma and the relativistic Grad-SchlÜter-Shafranov (GSS) equation for the magnetic flux function. The structure of the solutions for the hot pair wind equation is discussed. We also show how self-consistent axisymmetric MHD magnetospheres can be constructed by simultaneous solutions of this pair wind equation and solutions of the GSS equation. In the case of young pulsars and of the millisecond pulsars, the escaping pair wind is terminated by a strong shock. Downstream of the shock, the flow decelerates and increases its pressure in order to match the boundary conditions imposed by the outer edge of the nebula. We discuss the jump conditions for those types of relativistic MHD shocks, which consist of a family of nested toroids as shown by the hard X-ray observations on the Crab nebula. This is in conflict with standard spherically symmetric models. We also apply these pulsar winds to millisecond pulsars in low mass binary systems, such as PSR 1957 + 20, where the pulsar wind is expected to form a shock front around the evaporating low mass companion star.

Keywords

Neutron Star Accretion Disk Millisecond Pulsar Crab Nebula Toroidal Magnetic Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Alpar, M.A., Cheng, A.F., Ruderman, M., Shaham, J.: 1982, Nature 300, 728ADSCrossRefGoogle Scholar
  2. Anzer, U., Börner, G.: 1983, Astron. Astrophys. 122, 73ADSMATHGoogle Scholar
  3. Appl, S., Camenzind, M.: 1988, Astron. Astrophys. 206, 258ADSMATHGoogle Scholar
  4. Appl, S., Camenzind, M.: 1989, in Hot Spots in Extragalactic Radio Sources, ed. K. Meisenheimer, H.-J. Röser, Springer Proceedings (Springer-Verlag, Berlin)Google Scholar
  5. Arnett, W.D., Bowers, RL.: 1977, Astrophys. J. Suppl. 33, 415ADSCrossRefGoogle Scholar
  6. Arons, J.: 1979, Space Science Rev. 24, 437ADSCrossRefGoogle Scholar
  7. Arons, J.: 1981, in Pulsars, IAU Symp. 95, ed. W. Sieber and R. Wielebinski (Reidel, Dordrecht), p. 69Google Scholar
  8. Arons, J.: 1983, Astrophys. J. 266, 215ADSCrossRefGoogle Scholar
  9. Arons, J.: 1987, in The Origin and Evolution of Neutron Stars, IAU Symp. 125, ed. D.J. Helfand and J.-H. Huang (Reidel, Dordrecht), p. 207Google Scholar
  10. Aschenbach, B., Brinkmann, W.: 1975, Astron. Astrophys. 41, 147ADSGoogle Scholar
  11. Asseo, E., Kennel, F.C., Pellat, R: 1978, Astron. Astrophys. 65, 401ADSGoogle Scholar
  12. Asséo, E., Llobet, X., Schmidt, G.: 1980, Phys. Rev. A22, 1293ADSGoogle Scholar
  13. Asséo, E., Llobet, X., Pellat, R.: 1984, Astron. Astrophys. 139, 417ADSGoogle Scholar
  14. Bekenstein, J.D., Oron, E.: 1978, Phys. Rev. D18, 1809ADSGoogle Scholar
  15. Benford, G.: 1987, in Astrophysical Jets and. their Engines, ed. W. Kundt (Reidel, Dordrecht), p. 197Google Scholar
  16. Beskin, V.S., Gurevich, A.V., Istomin, Ya.N.: 1988, Astrophys. Space Sci. 146, 205ADSCrossRefGoogle Scholar
  17. Brinkmann, W., Aschenbach, B., Langmeier, A.: 1985, Nature 313, 662ADSCrossRefGoogle Scholar
  18. Butterworth, E.M., Ipser, J.R.: 1976, Astrophys. J. 204, 200MathSciNetADSCrossRefGoogle Scholar
  19. Camenzind, M.: 1975, J. Math. Phys. 16, 1023MathSciNetADSCrossRefGoogle Scholar
  20. Camenzind, M.: 1982, in Accreting Neutron Stars, ed. W. Brinkmann, J. Tümper (Max-Planck-Institut für Extraterrestrische Physik, Garching), p. 156Google Scholar
  21. Camenzind, M.: 1986a, Astron. Astrophys. 156, 137ADSGoogle Scholar
  22. Camenzind, M.: 1986b, Astron. Astrophys. 162, 32ADSMATHGoogle Scholar
  23. Camenzind, M.: 1987a, Astron. Astrophys. 184, 341ADSMATHGoogle Scholar
  24. Camenzind, M.: 1987b, in Interstellar Magnetic Fields, ed. R. Beck, R. Gräve, Springer Proceedings (Springer-Verlag, Berlin), p. 229Google Scholar
  25. Camenzind, M.: 1988a, in High Energy Astrophysics, ed. G. BÖrner, Springer Proceedings (Springer-Verlag, Berlin)Google Scholar
  26. Camenzind, M.: 1989a, in Accretion Disks and Magnetic Fields in Astrophysics, ed. G. Belvedere, Kluwer (Dordrecht), in pressGoogle Scholar
  27. Camenzind, M.: 1989b, in preperationGoogle Scholar
  28. Camenzind, M., Endler, M.: 1989, to appear in Astron. Astrophys.Google Scholar
  29. Carter, B.: 1973, in Black Holes, ed. C. DeWitt and B. DeWitt (Gordon and Breach, New York)Google Scholar
  30. Chanmugam, G., Brecher, K.: 1987, Nature 329, 696ADSCrossRefGoogle Scholar
  31. Coroniti, F.V., Kennel, C.F.: 1985, in The Crab Nebula and Related Supernova Remnants, ed. M.C. Kafatos, R.B.C. Henry (Cambridge University Press, Cambridge), p. 25Google Scholar
  32. Cutler, C., Lindblom, L.: 1987, Astrophys. J. 314, 234ADSCrossRefGoogle Scholar
  33. Daugherty, J.K., Harding, A.K.: 1982, Astrophys. J 252, 337ADSCrossRefGoogle Scholar
  34. Deutsch, AJ, 1955, Ann. d’Astrophys. 18, 1ADSGoogle Scholar
  35. Emmering, RT., Chevalier, R.: 1987, Astrophys. J. 321, 334ADSCrossRefGoogle Scholar
  36. Fitzpatrick, R, Mestel, L.: 1988a, MNRAS 232, 277ADSGoogle Scholar
  37. Fitzpatrick, R, Mestel, L.: 1988b, MNRAS 232, 303ADSGoogle Scholar
  38. Friedman, J.L.: 1978, Comm. Math. Phys. 62, 247ADSCrossRefMATHGoogle Scholar
  39. Friedman, J.L.: 1983, Phys. Rev. Letters 51, 11ADSCrossRefGoogle Scholar
  40. Friedman, J.L., Schutz, B.F.: 1978, Astrophys. J. 222, 281MathSciNetADSCrossRefGoogle Scholar
  41. Friedman, J.L., Ipser, J.R., Parker, L.: 1986, Astrophys. J. 304, 115ADSCrossRefGoogle Scholar
  42. Friedman, J.L., Imamura, J.N., Durisen, R.H., Parker, L.: 1988, Nature 336, 560ADSCrossRefGoogle Scholar
  43. Fruchter, A.S., Stinebring, D.R., Taylor, J.H.: 1988, Nature 333, 237ADSCrossRefGoogle Scholar
  44. Goldreich, P., Julian, W.H.: 1969, Astrophys. J. 157, 869ADSCrossRefGoogle Scholar
  45. Gurevich, A.V., Istomin, Ya.N.: 1985, Soviet Phys. JETP 62, 1Google Scholar
  46. Hartle, J.B.: 1967, Astrophys. J. 150, 1005ADSCrossRefGoogle Scholar
  47. Hartle, J.B., Thome, K.S.: 1968, Astrophys. J. 153, 807ADSCrossRefGoogle Scholar
  48. Jackson, J.D.: 1975, Classical Electrodynamics (J. Wiley Publ. Co., New York)MATHGoogle Scholar
  49. Jones, P.B.: 1983, MNRAS 204, 9ADSMATHGoogle Scholar
  50. Kennel, C.F., Fujimura, F.S., Pellat, R: 1979, Space Science Rev. 24, 407ADSGoogle Scholar
  51. Kennel, C.F., FVijimura, F.S., Okamoto, I.: 1983, J. Astrophys. Geophys. Fluid Dyn. 26, 147ADSCrossRefMATHGoogle Scholar
  52. Kennel, C.F., Coroniti, F.V.: 1984a, Astrophys. J. 283, 694ADSCrossRefGoogle Scholar
  53. Kennel, C.F., Coroniti, F.V.: 1984b, Astrophys. J. 283, 710ADSCrossRefGoogle Scholar
  54. KluŹniak, W., Ruderman, M., Shaham, J., Tavani, M.: 1988, Nature 334, 225ADSCrossRefGoogle Scholar
  55. Kundt, W.: 1985, Bull. Astr. Soc. India 13, 12ADSGoogle Scholar
  56. Kundt, W., Krotschek, E.: 1980, Astron. Astrophys. 83, 1ADSGoogle Scholar
  57. Lichnérowicz, A.: 1967, Relativistic Hydrodynamics and Magnetohydrodynamics (Benjamin Press, New York)MATHGoogle Scholar
  58. Lindblom, L.: 1986, Astrophys. J. 303, 146ADSCrossRefGoogle Scholar
  59. Mestel, L., Wang, Y.-M.: 1982, MNRAS 198, 405ADSMATHGoogle Scholar
  60. Mestel, L., Robertson, J.A., Wang, Y.-M., Westfold, K.C.: 1985, MNRAS 217, 443ADSMATHGoogle Scholar
  61. Michel, F.C.: 1969, Astrophys. J. 157, 1183ADSCrossRefGoogle Scholar
  62. Michel, F.C.: 1982, Rev. Mod. Phys. 54, 1ADSCrossRefGoogle Scholar
  63. Michel, F.C.: 1983, Astrophys. J. 266, 188ADSCrossRefGoogle Scholar
  64. Michel, F.C.: 1985, in The Crab Nebula and Related Supernova Remnants, ed. M.C. Kafatos and R.B.C. Henry (Cambridge University Press, Cambridge), p. 55Google Scholar
  65. Okamoto, I.: 1978, Mon. Not. Roy. Astron. Soc. 185, 69ADSGoogle Scholar
  66. Pelling, R.M., Paciesas, W.S., Peterson, L.E., Makishima, K., Oda, M., Ogawara, Y., Miyamoto, S.: 1987, Astrophys. J. 319, 416ADSCrossRefGoogle Scholar
  67. Phinney, E.S., Evans, C.R., Blandford, R.D., Kulkarni, S.R.: 1988, Nature 333, 832ADSCrossRefGoogle Scholar
  68. Ray, A., Datta, B.: 1984, Astrophys. J. 282, 542ADSCrossRefGoogle Scholar
  69. Rees, M.J., Gunn, J.E.: 1974, Mon. Not. Roy. Astron. Soc. 167, 1ADSGoogle Scholar
  70. Ricker, G.R., Scheepmaker, A., Ryckman, S.G., Ballantine, J.E., Doty, J.P., Downey, P.M., Lewin, W.H.G.: 1975, Astrophys. J. Lett. 197, L87ADSCrossRefGoogle Scholar
  71. Ruderman, M.A., Sutherland, P.G.: 1975, Astrophys. J. 196, 51ADSCrossRefGoogle Scholar
  72. Sakurai, T.: 1985, Astron. Astrophys. 152, 121ADSMATHGoogle Scholar
  73. Scharlemann, E.T., Wagoner, R.V.: 1973, Astrophys. J. 182, 951ADSCrossRefGoogle Scholar
  74. Shibata, S.: 1988, MNRAS 233, 405ADSGoogle Scholar
  75. Sturrock, P.A.: 1970, Nature 227, 465ADSCrossRefGoogle Scholar
  76. Sturrock, P.A.: 1971, Astrophys. J. 164, 529ADSCrossRefGoogle Scholar
  77. Tademaru, E.: 1973, Astrophys. J. 183, 625ADSCrossRefGoogle Scholar
  78. Taylor, J.H., Stinebring, D.R.: 1986, Ann. Rev. Astron. Astrophys. 24, 285ADSCrossRefGoogle Scholar
  79. Thorne, K.S., Price, R.H., MacDonald, D.A.: 1986, Black Holes: The Membrane Paradigm (Yale University Press, New Haven) Google Scholar
  80. Ulm, 1982, Phys. Fluids 25, 1908ADSCrossRefGoogle Scholar
  81. Ulm, Davidson, RC, 1980, Phys. Fluids 23, 813MathSciNetADSCrossRefGoogle Scholar
  82. Usov, V.V.: 1983, Nature 305, 409ADSCrossRefGoogle Scholar
  83. Usov, V.V.: 1987, Astrophys. J. 320, 333ADSCrossRefGoogle Scholar
  84. van den Bergh, S., Pritchet, C.J.: 1989, Astrophys. J. Lett. 338, L69ADSCrossRefGoogle Scholar
  85. van den Heuvel, E.P.J., van Paradijs, J., Taam, R.E.: 1986, Nature 322, 153ADSCrossRefGoogle Scholar
  86. van den Heuvel, E.P.J., van Paradijs, J.: 1988, Nature 334, 227ADSCrossRefGoogle Scholar
  87. Wagoner, R.V.: 1984, Astrophys. J. 278, 345ADSCrossRefGoogle Scholar
  88. White, N.E., Stella, L.: 1988, Nature 333, 708ADSCrossRefGoogle Scholar
  89. Winske, D., Tanaka, M., Wu, C.S., Quest, K.B.: 1985, J. Geophys. Res. 90, 123ADSCrossRefGoogle Scholar
  90. Wu, C.S.: 1982, Space Science Rev. 32, 83ADSGoogle Scholar

Copyright information

© Kluwer Academic Publishers 1990

Authors and Affiliations

  • M. Camenzind
    • 1
  1. 1.Landessternwarte KônigstuhlGermany

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