Inhomogeneous nearly incompressible description of magnetohydrodynamic turbulence

Astrophysical Journal

Volumn 718, Issue 1, 2010, Pages 148-167

  Hunana, P ^a,b   Zank, G P ^a  

^a UNIVERSITY OF ALABAMA IN HUNTSVILLE   (United States)

^b UNIVERSITÉ CÔTE D'AZUR   (France)

Author keywords

ISM: general; Magnetohydrodynamics (MHD); Solar wind; Turbulence

Indexed keywords

EID: 78650022483     PISSN: 0004637X     EISSN: 15384357     Source Type: Journal    
DOI: 10.1088/0004-637X/718/1/148     Document Type: Article

References (141)

1. Armstrong, J. W., and Coles., W. A., Kojima, M., & Rickett, B. J. 1990, ApJ, 358, 685
2. Armstrong, J. W., & Woo, R. 1980, Rep. IOM 3331-80-070 (Pasadena, CA: Jet Propul. Lab.), 32
3. Bale, S. D., and Kellogg., P. J., Mozer, F. S., Horbury, T. S., & Reme, H. 2005, Phys. Rev. Lett., 94, 215002
4. Batchelor, G. K. 1959, J. Fluid Mech., 5, 113
5. Bavassano, B., & Bruno, R. 1995, J. Geophys. Res., 100, 9475
6. Bavassano, B., Bruno, R., & Klein, L. W. 1995, J. Geophys. Res., 100, 5871
7. Bayly, B. J., and Levermore., C. D., & Passot, T. 1992, Phys. Fluids A, 4, 945
8. Belcher, J. W., & Davis, L. 1971, J. Geophys. Res., 76, 3534
9. Belcher, J. W., and Lazarus., A. J., McNutt, R. L., & Gordon, G. S. 1993, J. Geophys. Res., 98, 15177
10. Bellamy, B. R., and Cairns., I. H., & Smith, C. W. 2005, J. Geophys. Res., 110, A10104
11. Beresnyak, A., & Lazarian, A. 2008, ApJ, 682, 1070
12. Bertozzi, A., & Majda, A. 2002, Vorticity and Incompressible Flows (Cambridge: Cambridge Univ. Press)
13. Bhattacharjee, A., and Ng., C. S., & Spangler, S. R. 1998, ApJ, 494, 409
14. Bieber, J. W., Wanner, W., & Matthaeus, W. H. 1996, J. Geophys. Res., 101, 2511
15. Bieber, J. W., et al. 1994, ApJ, 420, 294
16. Boldyrev, S. 2005, ApJ, 626, L37
17. Boldyrev, S. 2006, Phys. Rev. Lett., 96, 115002
18. Breech, B., and Matthaeus., W. H., Minnie, J., Bieber, J. W., Oughton, S., Smith, C. W., & Isenberg, P. A. 2008, J. Geophys. Res., 113, A08105
19. Breech, B., et al. 2005, Geophys. Rev. Lett., 32, L06103
20. Bruno, R., & Carbone, V. 2005, Living Rev. Solar Phys., 2, 4
21. Chandran, B. D. G. 2008, ApJ, 685, 646
22. Chapman, T. S., & Hnat, B. 2007, Geophys. Res. Lett., 34, L17103
23. Chasnov, J. R. 1998, Phys. Fluids, 10, 1191
24. Cho, J., & Lazarian, A. 2003, MNRAS, 345, 325
25. Cho, J., Lazarian, A., & Vishniac, E. T. 2002, ApJ, 564, 291
26. Cho, J., & Vishniac, E. T. 2000, ApJ, 538, 217
27. Coles, W. A., Liu, W., Harmon, J. K., & Martin, C. L. 1991, J. Geophys. Res., 96, 1745
28. Corrsin, S. 1951, J. Appl. Phys., 22, 469
29. Dasso, S., and Milano., L. J., Matthaeus, W. H., & Smith, C. W. 2005, ApJ, 635, L181
30. Dimotakis, P. E. 2005, Annu. Rev. Fluid Mech., 37, 329
31. Florinski, V., and Zank., G. P., & Pogorelov, N. V. 2003, J. Geophys. Res., 108, 1228
32. Galtier, S. 2009, Nonlinear Process. Geophys., 16, 83
33. Galtier, S., and Nazarenko., S. V., Newell, A. C., & Pouquet, A. 2000, J. Plasma Phys., 63, 447
34. Galtier, S., and Nazarenko., S. V., Newell, A. C., & Pouquet, A. 2002, ApJ, 564, 49
35. Galtier, S., Pouquet, A., & Mangeney, A. 2005, Phys. Plasmas, 12, 092310
36. Gazol, A., Passot, T., & Sulem, P. L. 1999, Phys. Plasmas, 6, 3134
37. Ghosh, S., & Matthaeus, W. H. 1992, Phys. Fluids, 4, 148
38. Gogoberidze, G. 2007, Phys. Plasmas, 14, 022304
39. Goldreich, P., & Sridhar, S. 1995, ApJ, 438, 763
40. Goldreich, P., & Sridhar, S. 1997, ApJ, 485, 680
41. Goldstein, M. L., and Roberts., D. A., & Matthaeus, W. H. 1995, ARA & A, 33, 283
42. Grall, R. R., and Coles., W. A., Spangler, S. R., Sakurai, T., & Harmon, J. K. 1997, J. Geophys. Res., 102, 263
43. Higdon, J. C. 1984, ApJ, 285, 109
44. Higdon, J. C. 1986, ApJ, 309, 342
45. Horbury, T. S., and Forman., M. A., & Oughton, S. 2005, Plasma Phys. Control. Fusion, 47, B703
46. Horbury, T. S., and Forman., M. A., & Oughton, S. 2008, Phys. Rev. Lett., 101, 175005
47. Hunana, P., and Zank., G. P., Heerikhuisen, J., & Shaikh, D. 2008, J. Geophys. Res., 113, A11105
48. Hunana, P., & Zank, G. P. 2008, Phys. Rev. E, 77, 017301
49. Hunana, P., and Zank., G. P., & Shaikh, D. 2006, Phys. Rev. E, 74, 026302
50. Iroshnikov, P. S. 1963, Astron. Z., 40, 742
51. Jokipii, J. R., & Kota, J. 1989, Geophys. Res. Lett., 16, 1
52. Kinney, R. M., & McWilliams, J. C. 1998, Phys. Rev. E, 57, 7111
53. Klainerman, S., & Majda, A. 1981, Commun. Pure Appl. Math., 34, 481
54. Klainerman, S., & Majda, A. 1982, Commun. Pure Appl. Math., 35, 629
55. Klein, L. W., Bruno, R., Bavassano, B., & Rosenbauer, H. 1993, J. Geophys. Res., 98, 7837
56. Kolmogorov, A. N. 1941, Dokl. Akad. Nauk SSSR, 31, 538
57. Kraichnan, R. H. 1965, Phys. Fluids, 8, 1385
58. Kraichnan, R. H. 1974, J. Fluid Mech., 64, 737
59. Kreiss, H. O. 1979, Commun. Pure Appl. Math., 16, 980
60. Kreiss, H. O. 1980, Commun. Pure Appl. Math., 33, 399
61. Laveder, D., Passot, T., & Sulem, P. L. 2002, Phys. Plasmas, 9, 305
62. Leamon, R. J., and Matthaeus., W. H., Smith, C. W., Zank, G. P., & Mullan, D. J. 2000, ApJ, 537, 1054
63. Lesieur, M. 1990, Turbulence in Fluids, Stochastic and Numerical Modelling (Dordrecht: Kluwer)
64. Lesieur, M., & Herring, J. 1985, J. Fluid Mech., 161, 77
65. Lighthill, J. 1978, Waves in Fluids (Cambridge: Cambridge Univ. Press)
66. Lithwick, Y., Goldreich, P., & Sridhar, S. 2007, ApJ, 655, 269
67. Majda, A. 1984, Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables (Berlin: Springer)
68. Maron, J., & Goldreich, P. 2001, ApJ, 554, 1175
69. Marsch, E., & Tu, C. 1989, J. Plasma Phys., 41, 479
70. Mason, J., Cattaneo, F., & Boldyrev, S. 2008, Phys. Rev. E, 77, 036403
71. Matthaeus, W. H., and Bieber., J. W., & Zank, G. P. 1995, Rev. Geophys., 33, 609
72. Matthaeus, W. H., & Brown, M. R. 1988, Phys. Fluids, 31, 3634
73. Matthaeus, W. H., & Goldstein, M. L. 1982, J. Geophys. Res., 87, 6011
74. Matthaeus, W. H., and Goldstein., M. L., & Roberts, D. A. 1990, J. Geophys. Res., 95, 20673
75. Matthaeus, W. H., and Klein., L. W., Ghosh, S., & Brown, M. R. 1991, J. Geophys. Res., 96, 5421
76. Matthaeus, W. H., and Zank., G. P., Oughton, S., Mullan, D. J., & Dmitruk, P. 1999, ApJ, 523, L93
77. Matthaeus, W. H., and Zank., G. P., Smith, C. W., & Oughton, S. 1999, Phys. Rev. Lett., 82, 3444
78. Matthaeus, W. H., et al. 2004, Geophys. Res. Lett., 31, L12803
79. McComas, D. J., et al. 2000, J. Geophys. Res., 105, 10419
80. Mjolsness, R. C. 1975, Phys. Fluids, 18, 1393
81. Montgomery, D., and Brown., M. R., & Matthaeus, W. H. 1987, J. Geophys. Res., 92, 282
82. Montgomery, D., & Matthaeus, W. H. 1995, ApJ, 447, 706
83. Montgomery, D., & Turner, L. 1981, Phys. Fluids, 24, 825
84. Müller, W. C., Biskamp, D., & Grappin, R. 2003, Phys. Rev. E, 67, 066302
85. Müller, W. C., & Grappin, R. 2005, Phys. Rev. Lett., 95, 114502
86. Nakayama, K. 2001, ApJ, 556, 1027
87. Ng, C. S., & Bhattacharjee, A. 1996, ApJ, 465, 845
88. Ng, C. S., & Bhattacharjee, A. 1997, Phys. Plasmas, 4, 605
89. Obukhoff, A. M. 1949, Izv. Akad. Nauk SSSR Geogr. Geofiz., 13, 58
90. Osman, K. T., & Horbury, T. S. 2009, J. Geophys. Res., 114, A06103
91. Oughton, S., and Matthaeus., W. H., & Ghosh, S. 1998, Phys. Plasmas, 5, 4235
92. Oughton, S., and Priest., E. R., & Matthaeus, W. H. 1994, J. Fluid Mech., 280, 95
93. Oughton, S., et al. 2001, ApJ, 551, 565
94. Parker, E. N. 1958, ApJ, 128, 664
95. Passot, T., & Pouquet, A. 1987, J. Fluid Mech., 181, 441
96. Passot, T., & Sulem, P. L. 2007, Phys. Plasmas, 14, 082502
97. Perez, J. C., & Boldyrev, S. 2009, Phys. Rev. Lett., 102, 025003
98. Podesta, J. J. 2009, ApJ, 698, 986
99. Podesta, J. J., and Roberts., D. A., & Goldstein, M. L. 2007, ApJ, 664, 543
100. Richardson, J. D., and Belcher., J. W., Paularena, K. I., & Lazarus, A. J. 1995, Geophys. Res. Lett., 22, 325
101. Robinson, D. C., & Rusbridge, M. G. 1971, Phys. Fluids, 14, 2499
102. Robinson, D. C., and Rusbridge., M. G., & Saunders, P. A. H. 1968, Plasma Phys., 10, 1005
103. Rosenbluth, M. N., and Monticello., D. A., Strauss, H. R., & White, R. B. 1976, Phys. Fluids, 19, 1987
104. Schekochihin, A. A., et al. 2009, ApJS, 182, 310
105. Shaikh, D., & Zank, G. P. 2006, ApJ, 640, 195
106. Shaikh, D., & Zank, G. P. 2007, Nonlinear Process. Geophys., 14, 1
107. Shaikh, D., & Zank, G. P. 2010, J. Plasma Phys., 76, 183
108. Shalchi, A. 2009, Non-linear Cosmic Ray Diffusion Theories: Astrophysics and Space Science Library, Vol. 362 (Berlin: Springer)
109. Shalchi, A., Li, G., & Zank, G. P. 2009, AP & SS, 325, 99
110. Shebalin, J. V., and Matthaeus., W. H., & Montgomery, D. 1983, J. Plasma Phys., 29, 525
111. Shraiman, B. I., & Siggia, E. D. 2000, Nature, 405, 639
112. Smith, C. W., et al. 2001, J. Geophys. Res., 106, 8253
113. Snyder, P. B., and Hammett., G. W., & Dorland, W. 1997, Phys. Plasmas, 4, 3974
114. Spangler, S. R., & Armstrong, J. W. 1990, in Low Frequency Astrophysics From Space, ed. N. E. Kassim & K. W. Weiler (Berlin: Springer), 155
115. Sridhar, S. 2010, Astron. Nachr., 331, 93
116. Sridhar, S., & Goldreich, P. 1994, ApJ, 432, 612
117. Strauss, H. R. 1976, Phys. Fluids, 19, 134
118. Strauss, H. R. 1977, Phys. Fluids, 20, 1354
119. Tu, C. Y., & Marsch, E. 1994, J. Geophys. Res., 99, 21481
120. Tu, C. Y., & Marsch, E. 1995, Space Sci. Rev., 73, 1
121. von Kármácute;n, T., & Howarth, L. 1938, Proc. R. Soc. A, 164, 192
122. Warhaft, Z. 2000, Annu. Rev. Fluid Mech., 32, 203
123. Weinhorst, B., & Shalchi, A. 2010, MNRAS, 403, 287
124. Wicks, R. T., and Chapman., S. C., & Dendy, R. O. 2009, ApJ, 690, 734
125. Woo, R., & Habbal, S. R. 1997, ApJ, 474, L139
126. Zakharov, V. E., L'vov, V., & Falkovich, G. E. 1992, Kolmogorov Spectra of Turbulence. I. Wave Turbulence (Berlin: Springer)
127. Zank, G. P., & Matthaeus, W. H. 1990, Phys. Rev. Lett., 64, 1243
128. Zank, G. P., & Matthaeus, W. H. 1991, Phys. Fluids A, 3, 69
129. Zank, G. P., & Matthaeus, W. H. 1992a, J. Geophys. Res., 97, 17189
130. Zank, G. P., & Matthaeus, W. H. 1992b, J. Plasma Phys., 48, 85
131. Zank, G. P., & Matthaeus, W. H. 1993, Phys. Fluids A, 5, 257
132. Zank, G. P., & Matthaeus, W. H. 1995, in Physics of Space Plasmas, Vol. 13, The Theory of Nearly Incompressible Magnetofluid-dynamics, ed. T. Chang & J. R. Jasperse (Cambridge, MA: MIT Press), 153
133. Zank, G. P., and Matthaeus., W. H., & Klein, L. W. 1990, Geophys. Res. Lett., 17, 1239
134. Zank, G. P., and Matthaeus., W. H., & Smith, C. W. 1996, J. Geophys. Res., 101, 17093
135. Zank, G. P., et al. 2004, J. Geophys. Res., 109, A04107
136. Zhou, Y., & Matthaeus, W. H. 1989, Geophys. Res. Lett., 16, 755
137. Zhou, Y., & Matthaeus, W. H. 1990a, J. Geophys. Res., 95, 10291
138. Zhou, Y., & Matthaeus, W. H. 1990b, J. Geophys. Res., 95, 14863
139. Zhou, Y., & Matthaeus, W. H. 1990c, J. Geophys. Res., 95, 14881
140. Zhou, Y., and Matthaeus., W. H., & Dmitruk, P. 2004, Rev. Mod. Phys., 76, 1015
141. Zweben, S. J., and Menyuk., C. R., & Taylor, R. J. 1979, Phys. Rev. Lett., 42, 1270