Nonlocality and the critical Reynolds numbers of the minimum state magnetohydrodynamic turbulence

Physics of Plasmas

Volumn 18, Issue 7, 2011, Pages

  Zhou, Ye ^a   Oughton, Sean ^b  

^a LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF WAIKATO   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

CRITICAL REYNOLDS NUMBER; CURRENT COMPUTING; HIGH REYNOLDS NUMBER; MAGNETIC REYNOLDS NUMBER; MAGNETOHYDRODYNAMIC TURBULENCE; MHD TURBULENCE; NONLOCALITIES; SPACE PLASMAS; STRONGLY NONLINEAR;

MAGNETIC FIELDS; MAGNETOPLASMA; REYNOLDS NUMBER; TURBULENCE;

MAGNETOHYDRODYNAMICS;

EID: 79961146842     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3606473     Document Type: Article

References (47)

1. D. Biskamp, Magnetohydrodynamic Turbulence (CUP, Cambridge, 2003).
2. Y. Zhou, W. H. Matthaeus, and P. Dmitruk, Rev. Mod. Phys. 76, 1015 (2004). 10.1103/RevModPhys.76.1015 (Pubitemid 40648305)
3. Y. Zhou, Phys. Plasmas 14, 082701 (2007). 10.1063/1.2739439 (Pubitemid 47352650)
4. J. A. Domaradzki, B. Teaca, and D. Carati, Phys. Fluids 22, 051702 (2010). 10.1063/1.3431227
5. A. N. Kolmogorov, Dokl. Akad.Nauk SSSR, 30, 301 (1941)
6. A. N. Kolmogorov, reprinted in Proc. R. Soc. London, Ser. A 434, 9 (1991).
7. B and u ≈ B.
8. P. E. Dimotakis, J. Fluid Mech. 409, 69 (2000). 10.1017/S0022112099007946
9. There are other definitions of the low-k boundary of the inertial range. For example, Pope (Ref.) defines it as one sixth of the longitudinal integral scale, which obviously does not scale with the Reynolds number.
10. S. B. Pope, Turbulent Flows (CUP, Cambridge, UK, 2000).
11. D. R. Chapman, AIAA J. 17, 1293 (1979). 10.2514/3.61311
12. S. G. Saddoughi and S. V. Veeravalli, J. Fluid Mech. 268, 333 (1994). 10.1017/S0022112094001370
13. R. H. Kraichnan, J. Fluid Mech. 47, 525 (1971). 10.1017/S0022112071001216
14. Y. Zhou, Phys. Fluids A 5, 1092 (1993). 10.1063/1.858593
15. Y. Zhou, Phys. Fluids A 5, 2511 (1993). 10.1063/1.858764
16. A. Alexakis, P. D. Mininni, and A. Pouquet, Phys. Rev. E 72, 046301 (2005). 10.1103/PhysRevE.72.046301 (Pubitemid 41777976)
17. O. Debliquy, M. K. Verma, and D. Carati, Phys. Plasmas 12, 042309 (2005). 10.1063/1.1867996 (Pubitemid 40860759)
18. M. K. Verma, A. Ayyer, and A. V. Chandra, Phys. Plasmas 12, 082307 (2005). 10.1063/1.1993067 (Pubitemid 41260893)
19. D. Carati, O. Debliquy, B. Knaepen, B. Amd Teaca, and M. Verma, J. Turbul. 7, N51 (2006). 10.1080/14685240600774017 (Pubitemid 44144840)
20. T. A. Yousef, F. Rincon, and A. A. Schekochihin, J. Fluid Mech. 575, 111 (2007). 10.1017/S0022112006004186 (Pubitemid 46404087)
21. B. Teaca, M. K. Verma, B. Knaepen, and D. Carati, Phys. Rev. E 79, 046312 (2009). 10.1103/PhysRevE.79.046312
22. H. Aluie and G. L. Eyink, Phys. Rev. Lett. 104, 081101 (2010). 10.1103/PhysRevLett.104.081101
23. Y. Zhou, Phys. Rep. 488, 1 (2010). 10.1016/j.physrep.2009.04.004
24. M. Lesieur, Turbulence in Fluids, 2nd ed. (Kluwer, Dordrecht, The Netherlands, 1990).
25. Y. Zhou and C. G. Speziale, Appl. Mech. Rev. 51, 267 (1998). 10.1115/1.3099004
26. T. Gotoh and T. Watanabe, J. Turbul. 6, N33 (2005). 10.1080/ 14685240500317354 (Pubitemid 43103509)
27. G. L. Eyink, Physica D 207, 91 (2005). 10.1016/j.physd.2005.05.018 (Pubitemid 40858039)
28. J. A. Domaradzki and D. Carati, Phys. Fluids 19, 085112 (2007). 10.1063/1.2772248 (Pubitemid 47577609)
29. J. A. Domaradzki, B. Teaca, and D. Carati, Phys. Fluids 21, 025106 (2009). 10.1063/1.3081558
30. G. L. Eyink and H. Aluie, Phys. Fluids 21, 115107 (2009). 10.1063/1.3266883
31. H. Aluie and G. L. Eyink, Phys. Fluids 21, 115108 (2009). 10.1063/1.3266948
32. M. K. Verma and D. Donzis, J. Phys. A 40, 4401 (2007). 10.1088/1751-8113/40/16/010
33. M. K. Verma, A. Ayyer, O. Debliquy, S. Kumar, and A. V. Chandra, Pramana-J. Phys. 65, 297 (2005). 10.1007/BF02898618
34. G. Falkovich, Phys. Fluids 6, 1411 (1994). 10.1063/1.868255
35. Y. Kaneda, T. Ishihara, M. Yokokawa, K. Itakura, and A. Uno, Phys. Fluids 15, L21 (2003). 10.1063/1.1539855 (Pubitemid 36280998)
36. N. E. L. Haugen, A. Brandenburg, and W. Dobler, Phys. Rev. E 70, 016308 (2004). 10.1103/PhysRevE.70.016308
37. A. Beresnyak, Phys. Rev. Lett. 106, 075001 (2011). 10.1103/PhysRevLett. 106.075001
38. P. K. Yeung and Y. Zhou, Phys. Rev. E 56, 1746 (1997). 10.1103/PhysRevE.56.1746
39. M. Wan, S. Oughton, S. Servidio, and W. H. Matthaeus, Phys. Plasmas 17, 082308 (2010). 10.1063/1.3474957
40. H. R. Strauss, Phys. Fluids 19, 134 (1976). 10.1063/1.861310
41. D. C. Montgomery, Phys. Scr. T21, 83 (1982). 10.1088/0031-8949/1982/T2A/ 009
42. J. V. Shebalin, W. H. Matthaeus, and D. Montgomery, J. Plasma Phys. 29, 525 (1983). 10.1017/S0022377800000933
43. J. C. Higdon, Astrophys. J. 285, 109 (1984). 10.1086/162481
44. R. J. Leamon, C. W. Smith, N. F. Ness, W. H. Matthaeus, and H. K. Wong, J. Geophys. Res. 103, 4775, doi 10.1029/97JA03394 (1998).
45. H. Li, S. P. Gary, and O. Stawicki, Geophys. Res. Lett. 28, 1347, doi 10.1029/2000GL012501 (2001). (Pubitemid 32576044)
46. C. W. Smith, K. Hamilton, B. J. Vasquez, and R. J. Leamon, Astrophys. J. 645, L85 (2006). 10.1086/506151 (Pubitemid 44199755)
47. W. H. Matthaeus, J. M. Weygand, P. Chuychai, S. Dasso, C. W. Smith, and M. G. Kivelson, Astrophys. J. 678, L141 (2008). 10.1086/588525