Structures in magnetohydrodynamic turbulence: Detection and scaling

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

Volumn 82, Issue 5, 2010, Pages

  Uritsky, V M ^a   Pouquet, A ^b   Rosenberg, D ^b   Mininni, P D ^b,c,d   Donovan, E F ^a  

^a UNIVERSITY OF CALGARY   (Canada)

^b NATIONAL CENTER FOR ATMOSPHERIC RESEARCH   (United States)

^c UNIVERSIDAD DE BUENOS AIRES   (Argentina)

^d Facultad de Ciencias Naturales e Instituto M Lillo   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

BELTRAMI; CLUSTER STATISTICS; INITIAL CONDITIONS; INTERMITTENCY; LOCAL INSTABILITY; MAGNETIC PRANDTL NUMBERS; MAGNETOHYDRODYNAMIC TURBULENCE; NUMERICAL SIMULATION; SELF-ORGANIZED CRITICALITY; STATISTICAL PROPERTIES; SYSTEMATIC ANALYSIS; TAYLOR-REYNOLDS NUMBER; THREE DIMENSIONS; TURBULENCE DYNAMICS; VORTICITY STRUCTURE; X-POINT;

CLUSTER ANALYSIS; CRITICALITY (NUCLEAR FISSION); MAGNETIC FIELDS; REYNOLDS NUMBER; THREE DIMENSIONAL COMPUTER GRAPHICS; TURBULENCE; VORTICITY;

MAGNETOHYDRODYNAMICS;

EID: 78651381802     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.82.056326     Document Type: Article

References (113)

1. W. H. Matthaeus and M. L. Goldstein, J. Geophys. Res. 87, 6011 (1982) 10.1029/JA087iA08p06011
2. W. Matthaeus, M. Goldstein, and D. Roberts, J. Geophys. Res. 95, 20673 (1990) 10.1029/JA095iA12p20673
3. L. F. Burlaga, J. Geophys. Res. 96, 5847 (1991). 10.1029/91JA00087
4. Y. Zhou, W. H. Matthaeus, and P. Dmitruk, Rev. Mod. Phys. 76, 1015 (2004) 10.1103/RevModPhys.76.1015
5. R. Bruno and V. Carbone, Living Reviews in Solar Physics 2, 4 (2005).
6. C. Cattell, J. Geophys. Res. 110, A01211 (2005) 10.1029/2004JA010519
7. A. Retinò, Nat. Phys. 3, 235 (2007). 10.1038/nphys574
8. J. M. Weygand, J. Geophys. Res. 110, A01205 (2005) 10.1029/2004JA010581
9. K. A. Riveros, Geofis. Int. 47, 265 (2008).
10. D. Sundkvist, Nature (London) 436, 825 (2005) 10.1038/nature03931
11. O. Alexandrova, J. Geophys. Res. 111, A12208 (2006) 10.1029/2006JA011934
12. K. Nykyri, Ann. Geophys. 24, 2619 (2006) 10.5194/angeo-24-2619-2006
13. T. D. Phan, Nature (London) 439, 175 (2006). 10.1038/nature04393 (Pubitemid 43084798)
14. J. Saur, Astron. Astrophys. 386, 699 (2002). 10.1051/0004-6361:20020305
15. E. Falgarone, J. Pety, and P. Hily-Blant, Astrophys. J. (to be published).
16. P. Dmitruk and D. O. Gómez, Astrophys. J. 484, L83 (1997). 10.1086/310760 (Pubitemid 127102003)
17. P. Charbonneau, Sol. Phys. 203, 321 (2001). 10.1023/A:1013301521745 (Pubitemid 33635318)
18. V. M. Uritsky, Geophys. Res. Lett. 33, L08102 (2006). 10.1029/2005GL025330 (Pubitemid 43950111)
19. V. I. Abramenko, Astrophys. J. 597, 1135 (2003). 10.1086/378492 (Pubitemid 38202809)
20. A. J. Klimas, J. Geophys. Res., [Space Phys.] 105, 18765 (2000) 10.1029/1999JA000319
21. A. J. Klimas, J. Geophys. Res., [Space Phys.] 109, A02218 (2004) 10.1029/2003JA010036
22. A. J. Klimas, Geophys. Res. Lett. 32, L14108 (2005) 10.1029/2005GL022916
23. A. Klimas, V. Uritsky, and M. Paczuski, e-print arXiv:astro-ph/0701486.
24. Z. Voros, Space Sci. Rev. 122, 301 (2006). 10.1007/s11214-006-6987-7
25. V. Angelopoulos, Phys. Plasmas 6, 4161 (1999). 10.1063/1.873681
26. A. T. Y. Lui, Rev. Geophys. 39, 535 (2001). 10.1029/2000RG000090 (Pubitemid 33132886)
27. V. M. Uritsky, J. Geophys. Res. 107, 1426 (2002) 10.1029/2001JA000281
28. V. M. Uritsky, A. J. Klimas, and D. Vassiliadis, Geophys. Res. Lett. 30, 1813 (2003) 10.1029/2002GL016556
29. V. M. Uritsky, J. Atmos. Sol.-Terr. Phys. 63, 1425 (2001). 10.1016/S1364-6826(00)00244-3 (Pubitemid 33663873)
30. M. V. Stepanova, J. Atmos. Sol.-Terr. Phys. 67, 1876 (2005) 10.1016/j.jastp.2004.11.016
31. M. V. Stepanova, Adv. Space Res. 37, 559 (2006). 10.1016/j.asr.2005.04. 112
32. V. M. Uritsky, M. Paczuski, J. M. Davila, and S. I. Jones, Phys. Rev. Lett. 99, 025001 (2007). 10.1103/PhysRevLett.99.025001 (Pubitemid 47112586)
33. W. Gekelman and R. Stenzel, J. Geophys. Res., [Space Phys.] 89, 2715 (1984) 10.1029/JA089iA05p02715
34. M. Yamada, Phys. Plasmas 4, 1936 (1997) 10.1063/1.872336
35. E. G. Zweibel and M. Yamada, Annu. Rev. Astron. Astrophys. 47, 291 (2009). 10.1146/annurev-astro-082708-101726
36. L. Sorriso-Valvo, Europhys. Lett. 51, 520 (2000). 10.1209/epl/i2000- 00369-6
37. P. D. Mininni and A. Pouquet, Phys. Rev. E 80, 025401 (2009). 10.1103/PhysRevE.80.025401
38. L. Sorriso-Valvo, Planet. Space Sci. 52, 937 (2004). 10.1016/j.pss.2004. 02.006
39. R. Grappin, Astron. Astrophys. 105, 6 (1982)
40. M. Meneguzzi, J. Comput. Phys. 123, 32 (1996). 10.1006/jcph.1996.0003 (Pubitemid 126161372)
41. W. H. Matthaeus, A. Pouquet, P. D. Mininni, P. Dmitruk, and B. Breech, Phys. Rev. Lett. 100, 085003 (2008). 10.1103/PhysRevLett.100.085003 (Pubitemid 351393642)
42. H. Hasegawa, Nature (London) 430, 755 (2004). 10.1038/nature02799 (Pubitemid 39071341)
43. P. D. Mininni and A. Pouquet, Phys. Rev. Lett. 99, 254502 (2007). 10.1103/PhysRevLett.99.254502
44. A. Pouquet, Geophys. Astrophys. Fluid Dyn. 104, 115 (2010). 10.1080/03091920903304080
45. J. C. McWilliams, J. Fluid Mech. 219, 361 (1990). 10.1017/ S0022112090002981
46. D. Montgomery, Phys. Fluids A 4, 3 (1992). 10.1063/1.858525
47. R. Robert and J. Sommeria, J. Fluid Mech. 229, 291 (1991). 10.1017/S0022112091003038
48. F. Bouchet and E. Simonnet, Phys. Rev. Lett. 102, 094504 (2009) 10.1103/PhysRevLett.102.094504
49. P. H. Chavanis, Eur. Phys. J. B 70, 73 (2009). 10.1140/epjb/e2009-00196-1
50. T. S. Lundgren, Phys. Fluids 25, 2193 (1982) 10.1063/1.863957
51. A. Gilbert, Phys. Fluids A 5, 2831 (1993). 10.1063/1.858746
52. M. Jiang, R. Machira Ju, and D. Thompson, in Visualization Handbook, edited by, C. Hansen, and, C. Johnson, (Academic Press, London, 2005)
53. J. Z. Wu, H. Y. Ma, and M. D. Zhou, Vorticity and Vortex Dynamics, 1st ed. (Springer, Heidelberg, 2006) 10.1007/978-3-540-29028-5
54. Y. Kaneda, Phys. Fluids 15, L21 (2003) 10.1063/1.1539855
55. K. Gruchalla, in Visualization-Driven Structural and Statistical Analysis of Turbulent Flows, edited by, N. Adams, (Springer-Verlag, Berlin, Heidelberg, 2009), pp. 321-332.
56. H. Politano, A. Pouquet, and P. L. Sulem, Phys. Plasmas 2, 2931 (1995). 10.1063/1.871473
57. W. C. Müller and D. Biskamp, Phys. Rev. Lett. 84, 475 (2000). 10.1103/PhysRevLett.84.475
58. M. G. Linton, R. B. Dahlburg, and K. Antiochos, Astrophys. J. 553, 905 (2001) 10.1086/320974
59. O. Alexandrova, J. Geophys. Res. 109, A05207 (2004) 10.1029/2003JA010056
60. A. Brandenburg and K. Subramanian, Phys. Rep. 417, 1 (2005) 10.1016/j.physrep.2005.06.005
61. J. Clyne, New J. Phys. 9, 301 (2007) 10.1088/1367-2630/9/8/301
62. T. A. Yousef, F. Rincon, and A. A. Schekochihin, J. Fluid Mech. 575, 111 (2007) 10.1017/S0022112006004186
63. P. D. Mininni, New J. Phys. 10, 125007 (2008). 10.1088/1367-2630/10/12/ 125007
64. S. Servidio, W. H. Matthaeus, M. A. Shay, P. A. Cassak, and P. Dmitruk, Phys. Rev. Lett. 102, 115003 (2009). 10.1103/PhysRevLett.102.115003
65. P. D. Mininni, A. G. Pouquet, and D. C. Montgomery, Phys. Rev. Lett. 97, 244503 (2006). 10.1103/PhysRevLett.97.244503 (Pubitemid 44927262)
66. P. D. Mininni, A. Alexakis, and A. Pouquet, Phys. Rev. E 74, 016303 (2006). 10.1103/PhysRevE.74.016303 (Pubitemid 44091268)
67. S. Childress and A. D. Gilbert, Stretch, Twist, Fold: The Fast Dynamo (Springer, Berlin, 1995).
68. E. Lee, M. E. Brachet, A. Pouquet, P. D. Mininni, and D. Rosenberg, Phys. Rev. E 81, 016318 (2010). 10.1103/PhysRevE.81.016318
69. W. C. Müller and R. Grappin, Phys. Rev. Lett. 95, 114502 (2005). 10.1103/PhysRevLett.95.114502 (Pubitemid 41505699)
70. J. Mason, F. Cattaneo, and S. Boldyrev, Phys. Rev. E 77, 036403 (2008). 10.1103/PhysRevE.77.036403 (Pubitemid 351415913)
71. P. Dmitruk, D. O. Gómez, and W. H. Matthaeus, Phys. Plasmas 10, 3584 (2003) 10.1063/1.1602698
72. A. F. Rappazzo, M. Velli, G. Einaudi, and R. B. Dahlburg, Astrophys. J. 657, L47 (2007). 10.1086/512975
73. D. Biskamp and H. Welter, Phys. Fluids B 1, 1964 (1989). 10.1063/1.859060
74. H. Politano, A. Pouquet, and P. L. Sulem, Phys. Fluids B 1, 2330 (1989). 10.1063/1.859051
75. G. Lapenta, Phys. Rev. Lett. 100, 235001 (2008). 10.1103/PhysRevLett.100. 235001
76. A. Pouquet, in Magnetohydrodynamic Turbulence, Les Houches Summer School on Astrophysical Fluid Dynamics, Session XLVII, edited by, J. P. Zahn, and, J. Zinn-Justin, (Elsevier, New York, 1993), pp. 139-227.
77. S. Boldyrev and J. C. Perez, Phys. Rev. Lett. 103, 225001 (2009). 10.1103/PhysRevLett.103.225001
78. S. Servidio, W. H. Matthaeus, and P. Dmitruk, Phys. Rev. Lett. 100, 095005 (2008). 10.1103/PhysRevLett.100.095005 (Pubitemid 351399064)
79. K. R. Sreenivasan, Physica A 340, 574 (2004). 10.1016/j.physa.2004.05.008
80. M. Paczuski, S. Boettcher, and M. Baiesi, Phys. Rev. Lett. 95, 181102 (2005). 10.1103/PhysRevLett.95.181102 (Pubitemid 41777265)
81. T. Chang, Phys. Plasmas 6, 4137 (1999). 10.1063/1.873678
82. S. Chapman and N. Watkins, Space Sci. Rev. 95, 293 (2001). 10.1023/A:1005236717469 (Pubitemid 32114598)
83. T. Chang, Space Sci. Rev. 107, 425 (2003). 10.1023/A:1025502023494
84. P. Bak and M. Paczuski, Physica A 348, 277 (2005). 10.1016/j.physa.2004. 08.034 (Pubitemid 40079601)
85. K. Chen and C. Jayaprakash, Physica A 340, 566 (2004). 10.1016/j.physa.2004.05.007
86. S. Galtier and A. Pouquet, Sol. Phys. 179, 141 (1998). 10.1023/A:1005056102064 (Pubitemid 128053718)
87. G. Einaudi, Astrophys. J. Lett. 455, L113 (1996).
88. A. Ben-Hur and O. Biham, Phys. Rev. E 53, R1317 (1996). 10.1103/PhysRevE.53.R1317
89. Note that the volume of the structures in our definition is an instantaneous value of the avalanche size S at a given time and is therefore a natural choice in frames of this calculation.
90. D. Dhar, Physica A 263, 4 (1999) 10.1016/S0378-4371(98)00493-2
91. D. Dhar, Physica A 369, 29 (2006). 10.1016/j.physa.2006.04.004 (Pubitemid 43975245)
92. P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. Lett. 59, 381 (1987). 10.1103/PhysRevLett.59.381
93. S. S. Manna, Curr. Sci. 77, 388 (1999).
94. P. Bak, How Nature Works: The Science of Self-Organized Criticality (Oxford University Press, Oxford, 1997).
95. A. Vespignani, R. Dickman, M. A. Munoz, and S. Zapperi, Phys. Rev. Lett. 81, 5676 (1998). 10.1103/PhysRevLett.81.5676
96. D. Hughes and M. Paczuski, Phys. Rev. Lett. 88, 054302 (2002). 10.1103/PhysRevLett.88.054302
97. P. Dmitruk and W. H. Matthaeus, Phys. Rev. E 76, 036305 (2007). 10.1103/PhysRevE.76.036305 (Pubitemid 47443101)
98. A. Alexakis, P. D. Mininni, and A. Pouquet, Phys. Rev. E 72, 046301 (2005) 10.1103/PhysRevE.72.046301
99. P. D. Mininni, A. Alexakis and A. Pouquet, Phys. Rev. E 72, 046302 (2005). 10.1103/PhysRevE.72.046302 (Pubitemid 41777977)
100. E. T. Lu and R. J. Hamilton, Astrophys. J. 380, L89 (1991). 10.1086/186180
101. K. Kiyani, S. C. Chapman, B. Hnat, and R. M. Nicol, Phys. Rev. Lett. 98, 211101 (2007). 10.1103/PhysRevLett.98.211101 (Pubitemid 47139628)
102. O. Peters and J. D. Neelin, Nat. Phys. 2, 393 (2006). 10.1038/nphys314 (Pubitemid 43838929)
103. C. Gloaguen, Physica D 17, 154 (1985). 10.1016/0167-2789(85)90002-8
104. V. Carbone and A. Pouquet, in School on Astrophysical Plasmas, edited by, L. Vlahos, and, P. Cargill, (Springer Verlag, New York, 2009), Vol. 778, 71-128.
105. G. Boffetta, V. Carbone, P. Giuliani, P. Veltri, and A. Vulpiani, Phys. Rev. Lett. 83, 4662 (1999). 10.1103/PhysRevLett.83.4662
106. V. M. Uritsky, J. M. Davila, and S. I. Jones, Phys. Rev. Lett. 103, 039502 (2009). 10.1103/PhysRevLett.103.039502
107. D. Bernard, Nat. Phys. 2, 124 (2006) 10.1038/nphys217
108. D. Bernard, G. Boffetta, A. Celani, and G. Falkovich, Phys. Rev. Lett. 98, 024501 (2007). 10.1103/PhysRevLett.98.024501 (Pubitemid 46135142)
109. K. Schneider and M. Farge, Annu. Rev. Fluid Mech. 42, 473 (2010). 10.1146/annurev-fluid-121108-145637
110. N. Okamoto, Phys. Fluids 19, 115109 (2007). 10.1063/1.2771661 (Pubitemid 350226430)
111. T. Chang and C. C. Wu, Phys. Rev. E 77, 045401 (2008) 10.1103/PhysRevE.77.045401
112. S. W. Y. Tam, T. Chang, P. M. Kintner, and E. M. Klatt, Phys. Rev. E 81, 036414 (2010). 10.1103/PhysRevE.81.036414
113. K. Gruchalla, in IDA 2009, LNCS 5772, edited by, N. Adams, (Springer-Verlag, Berlin, Heidelberg, 2009), pp. 321-332.