Colloquium: Magnetohydrodynamic turbulence and time scales in astrophysical and space plasmas

Reviews of Modern Physics

Volumn 76, Issue 4, 2004, Pages 1015-1035

  Zhou, Ye ^a   Matthaeus, W H ^b   Dmitruk, P ^b  

^a LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF DELAWARE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASTROPHYSICS; COMPUTER SIMULATION; ENERGY TRANSFER; MAGNETIC ANISOTROPY; MAGNETOHYDRODYNAMICS; TURBULENCE; WAVE PROPAGATION;

ELECTROMAGNETIC FORCES; ISOTROPIC MAGNETOHYDRODYNAMICS; MAGNETOHYDRODYNAMIC TURBULENCE; SPACE PLASMAS;

PLASMAS;

EID: 17144415153     PISSN: 00346861     EISSN: None     Source Type: Journal    
DOI: 10.1103/RevModPhys.76.1015     Document Type: Review

References (128)

1. Armstrong, J. W., J. M. Cordes, and B. J. Rickett, 1981, Nature (London) 291, 561.
2. Barnes, A., 1979, in Solar System Plasma Physics, edited by E. N. Parker, C. F. Kennel, and L. J. Lanzerotti (North-Holland, Amsterdam), Vol. I, p. 251.
3. Barnes, A., and J. V. Hollweg, 1974, J. Geophys. Res. 79, 2302.
4. Batchelor, G. K., 1970, The Theory of Homogeneous Turbulence (Cambridge University Press, New York).
5. Belcher, J. W., and L. Davis, Jr., 1971, J. Geophys. Res. 76, 3534.
6. Bieber, J. W., W. H. Matthaeus, C. W. Smith, W. Wanner, M. B. Kallenrode, and G. Wibberenz, 1994, Astrophys. J. 420, 294.
7. Bieber, J. W., W. Wanner, and W. H. Matthaeus, 1996, J. Geophys. Res. 101, 2511.
8. Biskamp, D., 1993, Europhys. Lett. 21, 563.
9. Biskamp, D., 1995, Chaos, Solitons Fractals 5, 1779.
10. Biskamp, D., 2003, Magnetohydrodynamic Turbulence (Cambridge University Press, New York).
11. Biskamp, D., and W.-C. Müller, 2000, Phys. Plasmas 7, 4889.
12. Biskamp, D., and H. Welter, 1989, Phys. Fluids B 1, 1964.
13. Burlaga, L. F., and K. Ogilvie, 1970, Sol. Phys. 15, 61.
14. Carbone, V., F. Malara, and P. Veltri, 1995, J. Geophys. Res. 100, 1763.
15. Chapman, D., 1979, AIAA J. 17, 1293.
16. Chen, S., and R. H. Kraichnan, 1989, Phys. Fluids A 1, 2019.
17. Chen, S., and R. H. Kraichnan, 1997, J. Plasma Phys. 57, 187.
18. Cho, J., and A. Lazarian, 2002, Phys. Rev. Lett. 88, 245001.
19. Cho, J., A. Lazarian, and E. T. Vishniac, 2002, Astrophys. J. 564, 291.
20. Cho, J., and E. T. Vishniac, 2000, Astrophys. J. 539, 273.
21. Coleman, P. J., 1968, Astrophys. J. 153, 371.
22. Dmitruk, P., D. O. Gómez, and W. H. Matthaeus, 2003, Phys. Plasmas 10, 3584.
23. Dmitruk, P., and W. H. Matthaeus, 2003, Astrophys. J. 597, 1097.
24. Dmitruk, P., W. H. Matthaeus, L. J. Milano, S. Oughton, G. P. Zank, and D. J. Mullan, 2002, Astrophys. J. 575, 571.
25. Dmitruk, P., L. J. Milano, W. H. Matthaeus, and S. Oughton, 2001, Phys. Plasmas 8, 2377.
26. Dobrowolny, M., A. Mangeney, and P. Veltri, 1980, Phys. Rev. Lett. 45, 144.
27. Dutton, J. A., and D. G. Deaven, 1972, in Lecture Notes in Physics, edited by M. Rosenblatt and C. Van Atta (Springer, Berlin), Vol. 12, p. 402.
28. Elsässer, W. M., 1956, Am. J. Phys. 24, 85.
29. Fyfe, D., and D. Montgomery, 1976, J. Plasma Phys. 16, 181.
30. Fyfe, D., D. Montgomery, and G. Joyce, 1977, J. Plasma Phys. 17, 369.
31. Galtier, S., S. V. Nazarenko, A. C. Newell, and A. Pouquet, 2000, J. Plasma Phys. 63, 447.
32. Galtier, S., E. Zienicke, H. Politano, and A. Pouquet, 1999, J. Plasma Phys. 61, 507.
33. George, W. K., 1992, Phys. Fluids A 4, 1492.
34. Goldreich, P., and S. Sridhar, 1995, Astrophys. J. 438, 763.
35. Goldreich, P., and S. Sridhar, 1997, Astrophys. J. 485, 680.
36. Goldstein, M. L., D. A. Roberts, and W. H. Matthaeus, 1995, Annu. Rev. Astron. Astrophys. 33, 283.
37. Gómez, D. O., and C. Ferro Fontán, 1988, Sol. Phys. 116, 33.
38. Grappin, R., U. Frisch, J. Leorat, and A. Pouquet, 1982, Astron. Astrophys. 105, 6.
39. Grappin, R., A. Pouquet, and J. Leorat, 1983, Astron. Astrophys. 126, 51.
40. Heinemann, M., and S. Olbert, 1980, J. Geophys. Res. 85, 1311.
41. Hollweg, J. V., 1973, J. Geophys. Res. 78, 3643.
42. Hollweg, J. V., 1974, J. Geophys. Res. 79, 1539.
43. Hollweg, J. V., 1986, J. Geophys. Res. 91, 4111.
44. Hossain, M., P. C. Gray, D. H. Pontius, Jr., W. H. Matthaeus, and S. Oughton, 1995, Phys. Fluids 7, 2886.
45. Hossain, M., P. C. Gray, D. H. Pontius, Jr., W. H. Matthaeus, and S. Oughton, 1996, in Solar Wind Eight, edited by D. Winterhalter, J. T. Gosling, S. R. Habbal, W. S. Kurth, and M. Neugebauer, AIP Conf. Proc. No. 362 (AIR Woodbury, NY), p. 358.
46. Iroshnikov, P., 1963, Sov. Astron. 7, 566.
47. Jacques, S. A., 1977, Astrophys. J. 215, 942.
48. Jokipii, J. R., 1973, Annu. Rev. Astron. Astrophys. 11, 1.
49. Kaneda, Y., 1981, J. Fluid Mech. 107, 131.
50. Kinney, R. M., and J. C. McWilliams, 1998, Phys. Rev. E 57, 7111.
51. Kolmogorov, A. N., 1941a, C. R. Acad. Sci. URSS 30, 301.
52. Kolmogorov, A. N., 1941b, C. R. Acad. Sci. URSS 31, 538.
53. Kolmogorov, A. N., 1941c, C. R. Acad. Sci. URSS 32, 16.
54. Kraichnan, R. H., 1957, J. Fluid Mech. 5, 497.
55. Kraichnan, R H., 1965, Phys. Fluids 8, 1385.
56. Kraichnan, R. H., and D. Montgomery, 1980, Rep. Prog. Phys. 43, 547.
57. Leamon, R. J., C. W. Smith, N. F. Ness, W. H. Matthaeus, and H. K. Wong, 1998, J. Geophys. Res. 103, 4775.
58. Leith, C. E., 1971, J. Atmos. Sci. 28 145.
59. Lesieur, M., 1997, Turbulence in Fluids (Kluwer, Dordrecht).
60. Leslie, D. C., 1973, Developments in the Theory of Turbulence (Clarendon Press, Oxford).
61. Lithwick, Y., and P. Goldreich, 2001, Astrophys. J. 562, 279.
62. Lithwick, Y., and P. Goldreich, 2003, Astrophys. J. 582, 1220.
63. Mac Low, M.-M., 1999, Astrophys. J. 524, 169.
64. Mac Low, M.-M., R. S. Klessen, A. Burkert, and M. D. Smith, 1998, Phys. Rev. Lett. 80, 2754.
65. Maron, J., and P. Goldreich, 2001, Astrophys. J. 554, 1175.
66. Marsch, E., 1991, in Physics of the Heliosphere II, edited by R. Schwenn and E. Marsch (Springer, Berlin).
67. Matthaeus, W. H., and J. W. Bieber, 1999, in Solar Wind 9, edited by S. R. Habbal, R. Esser, J. V. Hollweg, and P. A. Isenberg, AIP Conf. Proc. No. 471 (AIR Woodbury, NY), p. 515.
68. Matthaeus, W. H., J. W. Bieber, and G. P. Zank, 1995, Rev. Geophys. 33, 609.
69. Matthaeus, W. H., S. Ghosh, S. Oughton, and D. A. Roberts, 1996, J. Geophys. Res. 101, 7619.
70. Matthaeus, W. H., and M. L. Goldstein, 1982, J. Geophys. Res. 87, 6011.
71. Matthaeus, W. H., M. L. Goldstein, and D. A. Roberts, 1990, J. Geophys. Res. 95, 20.
72. Matthaeus, W. H., and S. L. Lamkin, 1986, Phys. Fluids 29 2513.
73. Matthaeus, W. H., and Y. Zhou, 1989, Phys. Fluids B 1, 1929.
74. McComb, W. D., 1990, The Physics of Fluid Turbulence (Oxford University Press, New York).
75. Milano, L. J., W. H. Matthaeus, P. Dmitruk, and D. C. Montgomery, 2001, Phys. Plasmas 8, 2673.
76. Millionshchikov, M. D., 1941, C. R. Acad. Sci. URSS 32, 619.
77. Monin, A. S., and A. M. Yaglom, 1975, Statistical Fluid Mechanics (MIT Press, Cambridge, MA), Vol. 2.
78. Montgomery, D., 1987, in Lecture Notes on Turbulence, edited by J. R. Herring and J. C. McWilliams (World Scientific, Singapore), p. 75.
79. Montgomery, D., M. R. Brown, and W. H. Matthaeus, 1987, J. Geophys. Res. 92, 282.
80. Montgomery, D., and W. H. Matthaeus, 1995, Astrophys. J. 447, 706.
81. Nakayama, K., 1999, Astrophys. J. 523, 315.
82. Nakayama, K., 2001, Astrophys. J. 556, 1027.
83. Nelkin, M., 1994, Adv. Phys. 43, 141.
84. Nelkin, M., and R. Tabor, 1990, Phys. Fluids A 2, 81.
85. Ng, C. S., and A. Bhattacharjee, 1997, Phys. Plasmas 4, 605.
86. Orszag, S. A., 1970, J. Fluid Mech. 41, 363.
87. Orszag, S. A., 1977, in Fluid Dynamics: Les Houches 1973, edited by R. Balian and J. L. Peube (Gordon and Breach, New York), p. 237.
88. Oughton, S., E. R. Priest, and W. H. Matthaeus, 1994, J. Fluid Mech. 280, 95.
89. Parker, E. N., 1965, Space Sci. Rev. 4, 666.
90. Parker, E. N., 1972, Astrophys. J. 174, 499.
91. Parker, E. N., 1979, Cosmical Magnetic Fields: Their Origin and Activity (Oxford University Press, Oxford, UK).
92. Politano, H., A. Pouquet, and P. L. Sulem, 1989, Phys. Fluids B 1, 2990.
93. Politano, H., A. Pouquet, and P. L. Sulem, 1995, Phys. Plasmas 2, 2931.
94. Pope, S. B., 2000, Turbulent Flows (Cambridge University Press, New York).
95. Pouquet, A., U. Frisch, and J. Leorat, 1976, J. Fluid Mech. 77, 321.
96. Pouquet, A., M. Meneguzzi, and U. Frisch, 1986, Phys. Rev. A 33, 4266.
97. Roberts, D. A., S. Ghosh, M. L. Goldstein, and W. H. Matthaeus, 1991, Phys. Rev. Lett. 67, 3741.
98. Roberts, D. A., M. L. Goldstein, and L. W. Klein, 1990, J. Geophys. Res. 95, 4203.
99. Roberts, D. A., M. L. Goldstein, L. W. Klein, and W. H. Matthaeus, 1987, J. Geophys. Res. 92, 12023.
100. Robinson, D., and M. Rusbridge, 1971, Phys. Fluids 14, 2499.
101. Rose, H., and P. L. Sulem, 1978, J. Phys. (Paris) 39, 441.
102. Saddoughi, S. G., and S. V. Veeravalli, 1994, J. Fluid Mech. 268, 333.
103. Shebalin, J. V., W. H. Matthaeus, and D. Montgomery, 1983, J. Plasma Phys. 29, 525.
104. Schekochihin, A. A., J. L. Maron, S. C. Cowley, and J. C. McWilliams, 2002, Astrophys. J. 576, 806.
105. Smith, C. W., W. H. Matthaeus, G. P. Zank, N. F. Ness, S. Oughton, and J. D. Richardson, 2001, J. Geophys. Res. 106, 8253.
106. Speziale, C. G., and P. S. Bernard, 1992, J. Fluid Mech. 241, 645.
107. Sreenivasan, K. R., 1995, Phys. Fluids 7, 2778.
108. Sridhar, S., and P. Goldreich, 1994, Astrophys. J. 432, 612.
109. Taylor, G. I., 1935, Proc. R. Soc. London, Ser. A 151, 421.
110. Taylor, G. I., 1938, Proc. R. Soc. London, Ser. A 164, 476.
111. Tennekes, H., 1975, J. Fluid Mech. 67, 561.
112. Tennekes, H., and J. L. Lumley, 1972, A First Course in Turbulence (MIT, Boston).
113. Tu, C.-Y., and E. Marsch, 1995, Space Sci. Rev. 73, 1.
114. Van Atta, C. W., and J. C. Wyngaard, 1975, J. Fluid Mech. 72, 673.
115. von Karman, T., and L. Howarth, 1938, Proc. R. Soc. London, Ser. A 164, 192.
116. von Karman, T., and C. C. Lin, 1949, Rev. Mod. Phys. 21, 516.
117. Yeung, P. K., and Y. Zhou, 1997, Phys. Rev. E 56, 1746.
118. Yoshizawa, A., S. J. Itoh, and K. Itoh, 2003, Plasma and Fluid Turbulence: Theory and Modeling (IOP, Bristol).
119. Zakharov, V. E., V. L'vov, and G. E. Falkovich, 1992, Kolmogorov Spectra of Turbulence I: Wave Turbulence (Springer, Berlin).
120. Zank, G. P., and W. H. Matthaeus, 1992, J. Plasma Phys. 48, 85.
121. Zank, G. P., and W. H. Matthaeus, 1993, Phys. Fluids A 5, 257.
122. Zhou, Y., 1993a, Phys. Fluids A 5, 1092.
123. Zhou, Y., 1993b, Phys. Fluids A 5, 2511.
124. Zhou, Y., and W. H. Matthaeus, 1990a, J. Geophys. Res. 95, 10291.
125. Zhou, Y., and W. H. Matthaeus, 1990b, J. Geophys. Res. 95, 14881.
126. Zhou, Y., A. Praskovsky, and G. Vahala, 1993, Phys. Lett. A 178, 138.
127. Zhou, Y., and C. G. Speziale, 1998, Appl. Mech. Rev. 51, 267.
128. Zhou, Y., P. K. Yeung, and J. G. Brasseur, 1996, Phys. Rev. E 53, 1261.