Magnetic fluctuations and formation of large-scale inhomogeneous magnetic structures in a turbulent convection

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 76, Issue 5, 2007, Pages

  Rogachevskii, Igor ^a   Kleeorin, Nathan ^a  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

KINETIC ENERGY; LORENTZ FORCE; MAGNETIC FIELD EFFECTS; MAGNETIC STRUCTURE; REYNOLDS NUMBER; VELOCITY MEASUREMENT;

MAGNETIC FLUCTUATIONS; MAGNETIC REYNOLDS NUMBER; MEAN MAGNETIC FIELDS; TURBULENT CONVECTION;

TURBULENT FLOW;

EID: 36148996494     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.056307     Document Type: Article

References (99)

1. H. K. Moffatt, Magnetic Field Generation in Electrically Conducting Fluids (Cambridge University Press, New York, 1978).
2. E. Parker, Cosmical Magnetic Fields (Oxford University Press, New York, 1979).
3. F. Krause and K. H. Rädler, Mean-Field Magnetohydrodynamics and Dynamo Theory (Pergamon, Oxford, 1980).
4. Ya. B. Zeldovich, A. A. Ruzmaikin, and D. D. Sokoloff, Magnetic Fields in Astrophysics (Gordon and Breach, New York, 1983).
5. A. Ruzmaikin, A. M. Shukurov, and D. D. Sokoloff, Magnetic Fields of Galaxies (Kluwer Academic, Dordrecht, 1988).
6. G. Rüdiger and R. Hollerbach, The Magnetic Universe (Wiley-VCH, Weinheim, 2004).
7. M. Ossendrijver, Astron. Astrophys. AAEJAF 0004-6361 11, 287 (2003).
8. A. Brandenburg and K. Subramanian, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2005.06.005 417, 1 (2005).
9. E. Parker, Astrophys. J. ASJOAB 0004-637X 10.1086/148828 145, 811 (1966).
10. P. A. Gilman, Astrophys. J. ASJOAB 0004-637X 10.1086/150733 162, 1019 (1970);
11. P. A. Gilman, Astron. Astrophys. AAEJAF 0004-6361 286, 305 (1970).
12. E. R. Priest, Solar Magnetohydrodynamics (Reidel, Dordrecht, 1982).
13. N. O. Weiss, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 293, 310 (1966).
14. E. M. Drobyshevski and V. S. Yuferev, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112074001236 65, 33 (1974).
15. E. Parker, Astrophys. J. ASJOAB 0004-637X 10.1086/146010 121, 491 (1955).
16. H. C. Spruit, Astron. Astrophys. AAEJAF 0004-6361 98, 155 (1981).
17. H. C. Spruit and A. A. van Ballegooijen, Astron. Astrophys. AAEJAF 0004-6361 106, 58 (1982).
18. A. Ferriz-Mas and M. Schüssler, Geophys. Astrophys. Fluid Dyn. GAFDD3 0309-1929 72, 209 (1993).
19. M. Schüssler, P. Caligari, A. Ferriz-Mas, and F. Moreno-Insertis, Astron. Astrophys. AAEJAF 0004-6361 281, L69 (1994).
20. E. A. Spiegel and N. O. Weiss, Nature (London) NATUAS 0028-0836 10.1038/287616a0 287, 616 (1980).
21. S. M. Tobias, N. H. Brummell, T. L. Clune, and J. Toomre, Astrophys. J. ASJOAB 0004-637X 549, 1183 (2001).
22. S. M. Tobias and D. W. Hughes, Astrophys. J. ASJOAB 0004-637X 10.1086/381492 603, 785 (2004).
23. A. Brandenburg, Astrophys. J. ASJOAB 0004-637X 10.1086/429584 625, 539 (2005).
24. D. J. Galloway and M. R. E. Proctor, Geophys. Astrophys. Fluid Dyn. GAFDD3 0309-1929 24, 109 (1983).
25. Ya. B. Zeldovich, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 31, 154 (1956)
26. Ya. B. Zeldovich, [Sov. Phys. JETP SPHJAR 0038-5646 4, 460 (1957)].
27. S. I. Vainshtein and L. L. Kitchatinov, Geophys. Astrophys. Fluid Dyn. GAFDD3 0309-1929 10.1080/03091928308209069 24, 273 (1983).
28. L. L. Kitchatinov, Astron. Astrophys. AAEJAF 0004-6361 243, 483 (1991).
29. L. L. Kitchatinov and G. Rüdiger, Astron. Astrophys. AAEJAF 0004-6361 260, 494 (1992).
30. K.-H. Rädler, N. Kleeorin, and I. Rogachevskii, Geophys. Astrophys. Fluid Dyn. GAFDD3 0309-1929 10.1080/0309192031000151212 97, 249 (2003).
31. L. L. Kitchatinov and V. V. Pipin, Astron. Astrophys. AAEJAF 0004-6361 274, 647 (1993).
32. I. Rogachevskii and N. Kleeorin, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.046310 70, 046310 (2004).
33. I. Rogachevskii and N. Kleeorin, Geophys. Astrophys. Fluid Dyn. GAFDD3 0309-1929 10.1080/03091920600813516 100, 243 (2006).
34. M. Ossendrijver, M. Stix, A. Brandenburg, and G. Rüdiger, Astron. Astrophys. AAEJAF 0004-6361 10.1051/0004-6361:20021224 394, 735 (2002).
35. N. Kleeorin, I. Rogachevskii, and A. Ruzmaikin, Pis'ma Astron. Zh. PAZHDA 0320-0108 15, 639 (1989)
36. N. Kleeorin, I. Rogachevskii, and A. Ruzmaikin, [Sov. Astron. Lett. SALEDW 0360-0327 15, 274 (1989)].
37. N. Kleeorin, I. Rogachevskii, and A. Ruzmaikin, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 97, 1555 (1990)
38. N. Kleeorin, I. Rogachevskii, and A. Ruzmaikin, [Sov. Phys. JETP SPHJAR 0038-5646 70, 878 (1990)].
39. N. Kleeorin and I. Rogachevskii, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.50.2716 50, 2716 (1994).
40. N. Kleeorin, M. Mond, and I. Rogachevskii, Astron. Astrophys. AAEJAF 0004-6361 307, 293 (1996).
41. L. D. Landau and E. M. Lifshitz, Classical Theory of Fields (Pergamon, Oxford, 1975).
42. L. D. Landau and E. M. Lifshitz, Theory of Elasticity (Pergamon, Oxford, 1984).
43. I. Rogachevskii and N. Kleeorin, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.75.046305 75, 046305 (2007).
44. S. A. Orszag, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112070000642 41, 363 (1970).
45. A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics (MIT Press, Cambridge, MA, 1975), and references therein.
46. W. D. McComb, The Physics of Fluid Turbulence (Clarendon, Oxford, 1990).
47. A. Pouquet, U. Frisch, and J. Leorat, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112076002140 77, 321 (1976).
48. E. G. Blackman and G. B. Field, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.265007 89, 265007 (2002).
49. G. B. Field and E. G. Blackman, Astrophys. J. ASJOAB 0004-637X 10.1086/340233 572, 685 (2002).
50. A. Brandenburg, P. Käpylä, and A. Mohammed, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1651480 16, 1020 (2004).
51. A. Brandenburg and K. Subramanian, Astron. Astrophys. AAEJAF 0004-6361 10.1051/0004-6361:20053221 439, 835 (2005).
52. S. Sur, K. Subramanian, and A. Brandenburg, Mon. Not. R. Astron. Soc. MNRAA4 0035-8711 10.1111/j.1365-2966.2007.11511.x 376, 1238 (2007).
53. A. Brandenburg and K. Subramanian, Astron. Nachr. ASNAAN 0004-6337 10.1002/asna.200710772 328, 507 (2007).
54. N. Kleeorin and A. Ruzmaikin, Magn. Gidrodin. MAGIAI 0025-0015 2, 17 (1982)
55. N. Kleeorin and A. Ruzmaikin, [Magnetohydrodynamics (N.Y.) MGHDAG 0024-998X 18, 116 (1982)].
56. A. V. Gruzinov and P. H. Diamond, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.1651 72, 1651 (1994);
57. A. V. Gruzinov and P. H. Diamond, Phys. Plasmas PHPAEN 1070-664X 10.1063/1.871981 3, 1853 (1996).
58. N. Kleeorin and I. Rogachevskii, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.59.6724 59, 6724 (1999).
59. N. Kleeorin, D. Moss, I. Rogachevskii, and D. Sokoloff, Astron. Astrophys. AAEJAF 0004-6361 361, L5 (2000);
60. N. Kleeorin, D. Moss, I. Rogachevskii, and D. Sokoloff, Astron. Astrophys. AAEJAF 0004-6361 10.1051/0004-6361:20020383 387, 453 (2002);
61. N. Kleeorin, D. Moss, I. Rogachevskii, and D. Sokoloff, Astron. Astrophys. AAEJAF 0004-6361 10.1051/0004-6361:20021859 400, 9 (2003).
62. E. G. Blackman and G. B. Field, Astrophys. J. ASJOAB 0004-637X 10.1086/308767 534, 984 (2000).
63. E. G. Blackman and A. Brandenburg, Astrophys. J. ASJOAB 0004-637X 10.1086/342705 579, 359 (2002).
64. N. Kleeorin, K. Kuzanyan, D. Moss, I. Rogachevskii, D. Sokoloff, and H. Zhang, Astron. Astrophys. AAEJAF 0004-6361 10.1051/0004-6361:20031126 409, 1097 (2003).
65. A. A. Ruzmaikin and A. M. Shukurov, Astrophys. Space Sci. APSSBE 0004-640X 10.1007/BF00651446 82, 397 (1982).
66. A. A. Schekochihin, A. B. Iskakov, S. C. Cowley, J. C. McWilliams, M. R. E. Proctor, and T. A. Yousef, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/9/ 8/300 9, 300 (2007).
67. L. L. Kitchatinov and M. V. Mazur, Sol. Phys. SLPHAX 0038-0938 191, 327 (2000).
68. T. Elperin, N. Kleeorin, and I. Rogachevskii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.224 76, 224 (1996);
69. T. Elperin, N. Kleeorin, and I. Rogachevskii, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.55.2713 55, 2713 (1997);
70. T. Elperin, N. Kleeorin, and I. Rogachevskii, Int. J. Multiphase Flow IJMFBP 0301-9322 10.1016/S0301-9322(97)00063-3 24, 1163 (1998).
71. E. G. Blackman and G. B. Field, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1613281 15, L73 (2003).
72. J. Buchholz, A. Eidelman, T. Elperin, G. Grünefeld, N. Kleeorin, A. Krein, and I. Rogachevskii, Exp. Fluids EXFLDU 0723-4864 36, 879 (2004);
73. A. Eidelman, T. Elperin, N. Kleeorin, A. Krein, I. Rogachevskii, J. Buchholz, and G. Grünefeld, Nonlinear Processes Geophys. ZZZZZZ 1023-5809 11, 343 (2004);
74. A. Eidelman, T. Elperin, N. Kleeorin, A. Markovich, and I. Rogachevskii, Nonlinear Processes Geophys. ZZZZZZ 1023-5809 13, 109 (2006).
75. A. Eidelman, T. Elperin, N. Kleeorin, I. Rogachevskii, and I. Sapir-Katiraie, Exp. Fluids EXFLDU 0723-4864 10.1007/s00348-006-0111-3 40, 744 (2006).
76. R. V. R. Pandya and F. Mashayek, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.044501 88, 044501 (2002);
77. M. W. Reeks, Int. J. Multiphase Flow IJMFBP 0301-9322 31, 93 (2005).
78. T. Elperin, N. Kleeorin, I. Rogachevskii, and S. S. Zilitinkevich, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.066305 66, 066305 (2002);
79. T. Elperin, N. Kleeorin, I. Rogachevskii, and S. S. Zilitinkevich, Boundary-Layer Meteorol. BLMEBR 0006-8314 10.1007/s10546-005-9041-5 119, 449 (2006).
80. J. L. Lumley, Phys. Fluids PFLDAS 0031-9171 10.1063/1.1762299 10, 1405 (1967);
81. J. C. Wyngaard and O. R. Cote, Q. J. R. Meteorol. Soc. QJRMAM 0035-9009 10.1002/qj.49709841708 98, 590 (1972);
82. S. G. Saddoughi and S. V. Veeravalli, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112094001370 268, 333 (1994);
83. T. Ishihara, K. Yoshida, and Y. Kaneda, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.154501 88, 154501 (2002).
84. S. S. Zilitinkevich, Turbulent Penetrative Convection (Avebury Technical, Aldershot, 1991);
85. J. C. Kaimal and J. J. Fennigan, Atmospheric Boundary Layer Flows (Oxford University Press, New York, 1994);
86. E. B. Kraus and J. A. Businger, Atmosphere-Ocean Interaction (Oxford University Press, Oxford, 1994).
87. A. Eidelman, T. Elperin, N. Kleeorin, A. Markovich, and I. Rogachevskii, Exp. Fluids EXFLDU 0723-4864 10.1007/s00348-006-0109-x 40, 723 (2006).
88. D. Etling, Contrib. Atmos. Phys. BPYAAY 0303-4186 58, 88 (1985);
89. D. Etling and R. A. Brown, Boundary-Layer Meteorol. BLMEBR 0006-8314 10.1007/BF00705527 65, 215 (1993);
90. B. Brümmer, J. Atmos. Sci. JAHSAK 0022-4928 10.1175/1520-0469(1999) 056<2613:RACCIW>2.0.CO;2 56, 2613 (1999).
91. S. S. Zilitinkevich, T. Elperin, N. Kleeorin, and I. Rogachevskii, Boundary-Layer Meteorol. BLMEBR 0006-8314 10.1007/s10546-007-9189-2 125, 167 (2007).
92. G. Rüdiger and L. L. Kichatinov, Astron. Astrophys. AAEJAF 0004-6361 269, 581 (1993).
93. I. Rogachevskii and N. Kleeorin, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.61.5202 61, 5202 (2000).
94. L. L. Kitchatinov, Rüdiger, and V. V. Pipin, Astron. Nachr. ASNAAN 0004-6337 315, 157 (1994).
95. I. Rogachevskii and N. Kleeorin, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.036301 68, 036301 (2003).
96. A. Brandenburg, Astrophys. J. ASJOAB 0004-637X 10.1086/429584 625, 539 (2005);
97. A. Brandenburg, N. E. L. Haugen, P. J. Käpylä, and C. Sandin, Astron. Nachr. ASNAAN 0004-6337 10.1002/asna.200410373 326, 174 (2005).
98. A. Brandenburg and K. Subramanian, Astron. Nachr. ASNAAN 0004-6337 10.1002/asna.200510362 326, 400 (2005).
99. I. Rogachevskii, N. Kleeorin, and E. Liverts, Geophys. Astrophys. Fluid Dyn. GAFDD3 0309-1929 10.1080/03091920601004248 100, 537 (2006).