Transitions between turbulent and laminar superfluid vorticity states in the outer core of a neutron star

Astrophysical Journal

Volumn 651, Issue 2 I, 2006, Pages 1079-1091

  Peralta, C ^a,b   Melatos, A ^a   Giacobello, M ^a   Ooi, A ^a  

^a UNIVERSITY OF MELBOURNE   (Australia)

^b UNIVERSIDAD DE ORIENTE   (Venezuela)

Author keywords

Dense matter; Hydrodynamics; Stars: interiors; Stars: neutron; Stars: rotation

Indexed keywords

EID: 33845731225     PISSN: 0004637X     EISSN: 15384357     Source Type: Journal    
DOI: 10.1086/507576     Document Type: Article

References (134)

1. Abney, M., & Epstein, R. I. 1996, J. Fluid Mech., 312, 327
2. Adams, P. W., Cieplak, M., & Glaberson, W. I. 1985, Phys. Rev. B, 32, 171
3. Alpar, M. A. 1978, J. Low Temp. Phys., 31, 803
4. Alpar, M. A., Langer, S. A., & Sauls, J. A. 1984a, ApJ, 282, 533
5. Alpar, M. A., Pines, D., Anderson, P. W., & Shaham, J. 1984b, ApJ, 276, 325
6. Alpar, M. A., & Sauls, J. A. 1988, ApJ, 327, 723
7. Anderson, P. W., & Itoh, N. 1975, Nature, 256, 25
8. Anderson, P. W., Pines, D., Ruderman, M., & Shaham, J. 1978, J. Low Temp. Phys., 30, 839
9. Andersson, N. 2003, Classical Quantum Gravity, 20, R105
10. Andersson, N., & Comer, G. L. 2001, Phys. Rev. Lett., 87, 241101
11. Andersson, N., Comer, G. L., & Glampedakis, K. 2005, Nucl. Phys. A, 763, 212
12. Andersson, N., Sidery, T., & Comer, G. L. 2006, MNRAS, 368, 162
13. Andreev, A. F., & Bashkin, E. P. 1976, Soviet Phys. - JETP, 42, 164
14. Andronikashvili, E. L., & Mamaladze, Y. G. 1966, Rev. Mod. Phys., 38, 567
15. Ashton, R. A., & Northby, J. A. 1975, Phys. Rev. Lett., 35, 1714
16. Bagchi, B., & Balachandar, S. 2002, J. Fluid. Mech., 466, 365
17. Barenghi, C. F., Donnelly, R. J., & Vinen, W. F. 1983, J. Low Temp. Phys., 52, 189
18. Barenghi, C. F., & Jones, C. A. 1988, J. Fluid Mech., 197, 551
19. Barenghi, C. F., Samuels, D. C., Bauer, G. H., & Donnelly, R. J. 1997, Phys. Fluids, 9, 2631
20. Barenghi, C. F., Swanson, C. J., & Donnelly, R. J. 1995, J. Low Temp. Phys., 100, 385
21. Barenghi, C. F., Tsubota, M., Mitani, A., & Araki, T. 2004, J. Low Temp. Phys., 134, 489
22. Baym, G., Epstein, R., & Link, B. 1992, Physica B, 178, 1
23. Bekarevich, I. L., & Khalatnikov, I. M. 1961, Soviet Phys. - JETP, 13, 643
24. Belayev, Y. N., Monakhov, A. A., & Yavorskaya, I. M. 1978, Fluid Dyn., 2, 162
25. Bielert, F., & Stamm, G. 1993, Cryogenics, 33, 938
26. Boyd, J. P. 2001, Chebyshev and Fourier Spectral Methods (New York: Dover)
27. Canuto, C., Hussaini, M., Quarteroni, A., & Zang, T. 1988, Spectral Methods in Fluid Dynamics (New York: Springer)
28. Carter, B., Langlois, D., & Sedrakian, D. M. 2000, A&A, 361, 795
29. Chandler, E., & Baym, G. 1983, J. Low Temp. Phys., 50, 57
30. _. 1986, J. Low Temp. Phys., 62, 119
31. Clark, A., Clark, P. A., Thomas, J. H., & Lee, N.-H. 1971, J. Fluid Mech., 45, 131
32. Comer, G. L., & Joynt, R. 2003, Phys. Rev. D, 68, 023002
33. Cutler, C., & Lindblom, L. 1987, ApJ, 314, 234
34. Don, W. S. 1994, J. Comput. Phys., 110, 103
35. Donati, P., & Pizzochero, P. M. 2003, Phys. Rev. Lett., 90, 211101
36. _. 2004, Nucl. Phys. A, 742, 363
37. Donnelly, R. J. 1991, Quantized Vortices in Helium II (Cambridge: Cambridge Univ. Press)
38. Donnelly, R. J., & Barenghi, C. F. 1998, J. Phys. Chem. Ref. Data, 27, 1217
39. Dumas, G., & Leonard, A. 1994, J. Comput. Phys., 111, 205
40. Epstein, R. I. 1988, ApJ, 333, 880
41. Epstein, R. I., & Baym, G. 1988, ApJ, 328, 680
42. _. 1992, ApJ, 387, 276
43. Finne, A. P., Boldarev, S., Eltsov, V. B., & Krusius, M. 2004, J. Low Temp. Phys., 136, 249
44. Finne, A. P., et al. 2003, Nature, 424, 1022
45. Flowers, E., & Itoh, N. 1976, ApJ, 206, 218
46. _. 1979, ApJ, 230, 847
47. Franco, L. M., Link, B., & Epstein, R. I. 2000, ApJ, 543, 987
48. Glaberson, W. I., Johnson, W. W., & Ostermeier, R. M. 1974, Phys. Rev. Lett., 33, 1197
49. Gotter, C. J., & Mellink, J. H. 1949, Physica, 85, 285
50. Gottlieb, D., Hussaini, M. Y., & Orszag, S. A. 1984, in Spectral Methods for Partial Differential Equations, ed. R. G. Voigt, D. Gottlieb, & M. Y. Hussaini (Philadelphia: SIAM), 1
51. Greenspan, H. P. 1968, The Theory of Rotating Fluids (London: Cambridge Univ. Press)
52. Greenstein, G. 1970, Nature, 227, 791
53. _. 1975, ApJ, 200, 281
54. Hall, H. E., & Vinen, W. F. 1956a, Proc. R. Soc. London A, 238, 204
55. _. 1956b, Proc. R. Soc. London A, 238, 215
56. Henderson, K. L., & Barenghi, C. F. 1995, J. Low Temp. Phys., 98, 351
57. _. 2000, J. Fluid Mech., 406, 199
58. _. 2004, Theor. Comput. Fluid Dynamics, 18, 183
59. Henderson, K. L., Barenghi, C. F., & Jones, C. A. 1995, J. Fluid Mech., 283, 329
60. Hirasawa, M., & Shibazaki, N. 2001, ApJ, 563, 267
61. Hobbs, G. 2002, Ph.D. thesis, Univ. Manchester
62. Jahan Miri, M. 1998, ApJ, 501, L185
63. Jou, D., & Mongiovi, M. S. 2004, Phys. Rev. B, 69, 094513
64. Junk, M., & Egbers, C. 2000, in Physics of Rotating Fluids, ed. C. Egbers & G. Pfister (Berlin: Springer), 215
65. Landau, L. D., & Lifshitz, E. M. 1959, Fluid Mechanics (Oxford: Pergamon)
66. Larson, M. B., & Link, B. 1999, ApJ, 521, 271
67. _. 2002, MNRAS, 333, 613
68. Levin, Y., & D'Angelo, C. 2004, ApJ, 613, 1157
69. Link, B. 2003, Phys. Rev. Lett., 91, 101101
70. Link, B., & Cutler, C. 2002, MNRAS, 336, 211
71. Link, B., Epstein, R. I., & Baym, G. 1993, ApJ, 403, 285
72. Link, B., Franco, L. M., & Epstein, R. I. 1998, ApJ, 508, 838
73. Lorenzen, A., & Mullin, T. 1985, Phys. Rev. A, 31, 3463
74. Lyne, A. G., & Graham-Smith, F. 2006, Pulsar Astronomy (Cambridge: Cambridge Univ. Press)
75. Lyne, A. G., Shemar, S. L., & Smith, F. G. 2000, MNRAS, 315, 534
76. Marcus, P., & Tuckerman, L. 1987a, J. Fluid Mech., 185, 1
77. _. 1987b, J. Fluid Mech., 185, 31
78. Mastrano, A., & Melatos, A. 2005, MNRAS, 361, 927
79. McCulloch, P. M., Hamilton, P. A., McConnell, D., & King, E. A. 1990, Nature, 346, 822
80. McKenna, J., & Lyne, A. G. 1990, Nature, 343, 349
81. Mendell, G. 1991, ApJ, 380, 515
82. Mittal, R. 1999, Int. J. Numer. Methods Fluids, 30, 921
83. Mongiovi, M. S., & Jou, D. 2005, Phys. Rev. B, 72, 104515
84. Niemetz, M., Kerscher, H., & Schoepe, W. 2002, J. Low Temp. Phys., 126, 287
85. Orszag, S. A. 1974, Monthly Weather Rev., 102, 56
86. Osher, S. 1984, in Spectral Methods for Partial Differential Equations, ed. R. G.
87. Voigt, D. Gottleib, & M. Y. Gottleib (Philadelphia: SIAM), 209
88. Page, D., Lattimer, J. M., Prakash, M., & Steiner, A. W. 2004, ApJS, 155, 623
89. Parker, N. G., & Adams, C. S. 2005, Phys. Rev. Lett., 95, 145301
90. Peralta, C., Melatos, A., Giacobello, M., & Ooi, A. 2005, ApJ, 635, 1224
91. Prix, R., Comer, G. L., & Andersson, N. 2004, MNRAS, 348, 625
92. Reisenegger, A. 1993, J. Low Temp. Phys., 92, 77
93. Reisenegger, A., & Goldreich, P. 1992, ApJ, 395, 240
94. Ruderman, M. 1976, ApJ, 203, 213
95. _. 1991, ApJ, 382, 587
96. Ruderman, M., Zhu, T., & Chen, K. 1998, ApJ, 492, 267
97. Sauls, J. A. 1989, in Timing Neutron Stars, ed. J. Ogleman & E. P. J. van den Heuvel (Dordrecht: Kluwer), 4
98. Sauls, J. A., Stein, D. L., & Serene, J. W. 1982, Phys. Rev. D, 25, 967
99. Schoepe, W. 2004, Phys. Rev. Lett., 92, 095301
100. Schwarz, K. 1985, Phys. Rev. B, 31, 5782
101. _. 1988, Phys. Rev. B, 38, 2398
102. Scott, D. M., Finger, M. H., & Wilson, C. A. 2003, MNRAS, 344, 412
103. Sedrakian, A., & Cordes, J. M. 1998, ApJ, 502, 378
104. _. 1999, MNRAS, 307, 365
105. Sedrakian, A. D., & Sedrakian, D. M. 1995, ApJ, 447, 305
106. Sedrakian, D. M., Shakhabasyan, K. M., & Airapetyan, M. V. 1995, Astrophysics, 38, 145
107. Shabanova, T. V. 2005, MNRAS, 356, 1435
108. Shemar, S. L., & Lyne, A. G. 1996, MNRAS, 282, 677
109. Skrbek, L., Niemela, J. J., & Donnelly, R. J. 2000, Phys. Rev. Lett., 85, 2973
110. Smith, M. R., Donnelly, R. J., Goldenfeld, N., & Vinen, W. F. 1993, Phys. Rev. Lett., 71, 2583
111. Sonin, E. B. 1987, Rev. Mod. Phys., 59, 87
112. Soward, A. M., & Jones, C. A. 1983, Q. J. Mech. Appl. Math., 36, 19
113. Stuart, J. T. 1986, SIAM Rev., 28, 10
114. Swanson, C. E., Barenghi, C. F., & Donnelly, R. J. 1983, Phys. Rev. Lett., 50, 190
115. Thompson, C., & Duncan, R. C. 1993, ApJ, 408, 194
116. Tilley, D. R., & Tilley, J. 1986, Superfluidity and Superconductivity (Bristol: Adam Hilger)
117. Tsakadze, D. S., & Tsakadze, S. D. 1973, Zh. Eksp. Teor. Fiz., 64, 1816
118. Tsakadze, J. S., & Tsakadze, S. J. 1980, J. Low Temp. Phys., 39, 649
119. Tsubota, M., Araki, T., & Barenghi, C. F. 2003, Phys. Rev. Lett., 90, 205301
120. Tsubota, M., Barenghi, C. F., Araki, T., & Mitani, A. 2004, Phys. Rev. B, 69, 134515
121. Tsubota, M., & Kasamatsu, K. 2005, J. Low Temp. Phys., 138, 471
122. Tsuruta, S. 1974, in IAU Symp. 53, Physics of Dense Matter, ed. C. J. Hansen (Dordrecht: Reidel), 209
123. _. 1998, Phys. Rep., 292, 1
124. Tuckerman, L. S. 1983, Ph.D. thesis, Massachusetts Inst. Technol.
125. Vanyo, J. P. 1993, Rotating Fluids in Engineering and Science (Stoneham: Butterworth-Heinemann)
126. Vinen, W. F. 1957, Proc. R. Soc. London, 242, 493
127. _. 2003, Physica B, 329, 191
128. Yakovlev, D. G., Levenfish, K. P., & Shibanov, Y. A. 1999, Uspekhi Fiz. Nauk, 42, 737
129. Yavorskaya, I. M., Astafeva, N. M., & Vvedenskaia, N. D. 1978, Akad. Nauk SSSR Dokl., 241, 52
130. Yavorskaya, I. M., Belayev, Y. N., & Monakhov, A. A. 1975, Soviet Phys. Dokl., 20, 209
131. _. 1977, Soviet Phys. Dokl., 22, 717
132. _. 1986, Acta Astronaut., 13, 433
133. Zhang, T., Celik, D., & Van Sciver, S. W. 2004, J. Low Temp. Phys., 134, 985
134. Zou, W. Z., Wang, N., Wang, H. X., Manchester, R. N., Wu, X. J., & Zhang, J. 2004, MNRAS, 354, 811