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Volumn 83, Issue 5, 2011, Pages

Stochastic flux freezing and magnetic dynamo

Author keywords

[No Author keywords available]

Indexed keywords

CLASSICAL DYNAMICS; CONVENTIONAL SENSE; DYNAMO MECHANISM; EMPIRICAL EVIDENCE; INCOMPRESSIBLE TURBULENCE; LAGRANGIAN; LAGRANGIAN PARTICLES; LAPLACIANS; MAGNETIC DYNAMOS; MAGNETIC PRANDTL NUMBERS; MAGNETIC REYNOLDS NUMBER; MAGNETOHYDRODYNAMIC TURBULENCE; NUMERICAL RESULTS; PATH-INTEGRAL; RICHARDSON; STOCHASTIC FLUXES; STOCHASTIC PARTICLE METHODS; STOCHASTICITY; TURBULENT PLASMAS;

EID: 79961067782     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.056405     Document Type: Article
Times cited : (90)

References (97)
  • 4
    • 0346189330 scopus 로고    scopus 로고
    • PDNPDT 0167-2789 10.1016/S0167-2789(99)00171-2
    • K. Gawȩdzki and M. Vergassola, Phys. D (Amsterdam) PDNPDT 0167-2789 10.1016/S0167-2789(99)00171-2 138, 63 (2000).
    • (2000) Phys. D (Amsterdam) , vol.138 , pp. 63
    • Gawȩdzki, K.1    Vergassola, M.2
  • 6
    • 0346335227 scopus 로고    scopus 로고
    • JSTPBS 1424-0637 10.1007/s00023-003-0957-3
    • A. Kupiainen, Ann. Henri Poincaré JSTPBS 1424-0637 10.1007/s00023-003-0957-3 4, S 713 (2003).
    • (2003) Ann. Henri Poincaré , vol.4 , pp. 713
    • Kupiainen, A.1
  • 8
    • 0342501875 scopus 로고    scopus 로고
    • Turbulent Prandtl number effect on passive scalar advection
    • DOI 10.1016/S0167-2789(01)00196-8, PII S0167278901001968
    • W. E and E. Vanden Eijnden, Phys. D (Amsterdam) PDNPDT 0167-2789 10.1016/S0167-2789(01)00196-8 152-153, 636 (2001). (Pubitemid 32432008)
    • (2001) Physica D: Nonlinear Phenomena , vol.152-153 , pp. 636-645
    • Weinan, E.1    Vanden-Eijnden, E.2
  • 9
    • 0000917473 scopus 로고
    • PDNPDT 1364-5021 10.1098/rspa.1926.0043
    • L. F. Richardson, Proc. R. Soc. London, Ser. A PDNPDT 1364-5021 10.1098/rspa.1926.0043 110, 709 (1926).
    • (1926) Proc. R. Soc. London, Ser. A , vol.110 , pp. 709
    • Richardson, L.F.1
  • 10
    • 77649110031 scopus 로고    scopus 로고
    • NJOPFM 1367-2630 10.1088/1367-2630/12/2/023021
    • G. L. Eyink and A. F. Neto, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/2/023021 12, 023021 (2010).
    • (2010) New J. Phys. , vol.12 , pp. 023021
    • Eyink, G.L.1    Neto, A.F.2
  • 11
    • 78651345362 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.82.046314
    • G. L. Eyink, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.046314 82, 046314 (2010).
    • (2010) Phys. Rev. e , vol.82 , pp. 046314
    • Eyink, G.L.1
  • 14
    • 0001277210 scopus 로고
    • PHFLE6 1070-6631 10.1063/1.1762201
    • R. H. Kraichnan and S. Nagarajan, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1762201 10, 859 (1967).
    • (1967) Phys. Fluids , vol.10 , pp. 859
    • Kraichnan, R.H.1    Nagarajan, S.2
  • 15
    • 33646950376 scopus 로고
    • PHFLE6 1070-6631 10.1063/1.1692063
    • R. H. Kraichnan, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1692063 11, 945 (1968).
    • (1968) Phys. Fluids , vol.11 , pp. 945
    • Kraichnan, R.H.1
  • 18
    • 42749105165 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.70.016308
    • Nils Erland L. Haugen, Axel Brandenburg, and Wolfgang Dobler, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.70.016308 70, 016308 (2004).
    • (2004) Phys. Rev. e , vol.70 , pp. 016308
    • Haugen, N.E.L.1    Brandenburg, A.2    Dobler, W.3
  • 20
    • 0034338444 scopus 로고    scopus 로고
    • JSTPBS 0022-4715 10.1023/A:1018675525647
    • G. Eyink and J. Xin, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A: 1018675525647 100, 679 (2000).
    • (2000) J. Stat. Phys. , vol.100 , pp. 679
    • Eyink, G.1    Xin, J.2
  • 23
    • 0020192832 scopus 로고
    • JFLSA7 0022-1120 10.1017/S002211208200295X
    • I. T. Drummond, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S002211208200295X 123, 59 (1982).
    • (1982) J. Fluid Mech. , vol.123 , pp. 59
    • Drummond, I.T.1
  • 24
    • 4243780943 scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.49.2912
    • B. I. Shraiman and E. D. Siggia, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.49.2912 49, 2912 (1994).
    • (1994) Phys. Rev. e , vol.49 , pp. 2912
    • Shraiman, B.I.1    Siggia, E.D.2
  • 25
    • 45949115280 scopus 로고
    • PRPLCM 0370-1573 10.1016/0370-1573(87)90110-4
    • G. Paladin and A. Vulpiani, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(87)90110-4 156, 147 (1987).
    • (1987) Phys. Rep. , vol.156 , pp. 147
    • Paladin, G.1    Vulpiani, A.2
  • 26
    • 84950316890 scopus 로고
    • QJRMAM 0035-9009 10.1002/qj.49707632804
    • G. K. Batchelor, Q. J. R. Meteorol. Soc. QJRMAM 0035-9009 10.1002/qj.49707632804 76, 133 (1950).
    • (1950) Q. J. R. Meteorol. Soc. , vol.76 , pp. 133
    • Batchelor, G.K.1
  • 27
    • 84874530889 scopus 로고
    • MPCPCO 0305-0041 10.1017/S0305004100027687
    • G. K. Batchelor, Proc. Cambridge Philos. Soc. MPCPCO 0305-0041 10.1017/S0305004100027687 48, 345 (1952).
    • (1952) Proc. Cambridge Philos. Soc. , vol.48 , pp. 345
    • Batchelor, G.K.1
  • 28
    • 33646928299 scopus 로고
    • PHFLE6 1070-6631 10.1063/1.1761547
    • R. H. Kraichnan, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1761547 9, 1937 (1966).
    • (1966) Phys. Fluids , vol.9 , pp. 1937
    • Kraichnan, R.H.1
  • 29
    • 27144452257 scopus 로고    scopus 로고
    • Comparison of backwards and forwards relative dispersion in turbulence
    • DOI 10.1063/1.2047593, 095109
    • B. L. Sawford, P. K. Yeung, and M. S. Borgas, Phys. Fluids PHFLE6 1070-6631 10.1063/1.2047593 17, 095109 (2005). (Pubitemid 41487710)
    • (2005) Physics of Fluids , vol.17 , Issue.9 , pp. 1-9
    • Sawford, B.L.1    Yeung, P.K.2    Borgas, M.S.3
  • 30
    • 0034634848 scopus 로고    scopus 로고
    • JFLSA7 0022-1120 10.1017/S0022112000001658
    • S. Ott and J. Mann, J. Fluid Mech. JFLSA7 0022-1120 10.1017/ S0022112000001658 422, 207 (2000).
    • (2000) J. Fluid Mech. , vol.422 , pp. 207
    • Ott, S.1    Mann, J.2
  • 31
    • 32444440562 scopus 로고    scopus 로고
    • The role of pair dispersion in turbulent flow
    • DOI 10.1126/science.1121726
    • M. Bourgoin, N. T. Ouellette, H. Xu, J. Berg, and E. Bodenschatz, Science SCIEAS 0036-8075 10.1126/science.1121726 311, 835 (2006). (Pubitemid 43228844)
    • (2006) Science , vol.311 , Issue.5762 , pp. 835-838
    • Bourgoin, M.1    Ouellette, N.T.2    Xu, H.3    Berg, J.4    Bodenschatz, E.5
  • 32
    • 33745322120 scopus 로고    scopus 로고
    • An experimental study of turbulent relative dispersion models
    • DOI 10.1088/1367-2630/8/6/109, PII S1367263006227514
    • N. T. Ouellette, H. Xu, M. Bourgoin, and E. Bodenschatz, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/8/6/109 8, 109 (2006). (Pubitemid 43938992)
    • (2006) New Journal of Physics , vol.8 , pp. 109
    • Ouellette, N.T.1    Xu, H.2    Bourgoin, M.3    Bodenschatz, E.4
  • 33
    • 38449094386 scopus 로고    scopus 로고
    • Evolution of geometric structures in intense turbulence
    • DOI 10.1088/1367-2630/10/1/013012
    • H. Xu, N. T. Ouellette, and E. Bodenschatz, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/10/1/013012 10, 013012 (2008). (Pubitemid 351143276)
    • (2008) New Journal of Physics , vol.10 , pp. 013012
    • Xu, H.1    Ouellette, N.T.2    Bodenschatz, E.3
  • 34
    • 0036855998 scopus 로고    scopus 로고
    • Relative diffusion of a pair of fluid particles in the inertial subrange of turbulence
    • DOI 10.1063/1.1508443
    • T. Ishihara and Y. Kaneda, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1508443 14, L69 (2002). (Pubitemid 35389820)
    • (2002) Physics of Fluids , vol.14 , Issue.11
    • Ishihara, T.1    Kaneda, Y.2
  • 36
  • 38
    • 33846036756 scopus 로고    scopus 로고
    • A statistical theory of turbulent relative dispersion
    • DOI 10.1017/S0022112006003375, PII S0022112006003375
    • P. Franzese and M. Cassiani, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112006003375 571, 391 (2007). (Pubitemid 46056016)
    • (2007) Journal of Fluid Mechanics , vol.571 , pp. 391-417
    • Franzese, P.1    Cassiani, M.2
  • 39
    • 79961048696 scopus 로고    scopus 로고
    • i, the ion mass
    • i, the ion mass.
  • 40
    • 0347928773 scopus 로고
    • PFBPEI 0899-8221 10.1063/1.859494
    • A. Boozer, Phys. Fluids B PFBPEI 0899-8221 10.1063/1.859494 2, 2300 (1990).
    • (1990) Phys. Fluids B , vol.2 , pp. 2300
    • Boozer, A.1
  • 42
    • 0038782203 scopus 로고    scopus 로고
    • PHPAEN 1070-664X 10.1063/1.1580120
    • G. Hornig and E. Priest, Phys. Plasmas PHPAEN 1070-664X 10.1063/1.1580120 10, 2712 (2003).
    • (2003) Phys. Plasmas , vol.10 , pp. 2712
    • Hornig, G.1    Priest, E.2
  • 45
    • 0022663803 scopus 로고
    • JFLSA7 0022-1120 10.1017/S0022112086002367
    • I. T. Drummond and R. R. Horgan, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112086002367 163, 425 (1986).
    • (1986) J. Fluid Mech. , vol.163 , pp. 425
    • Drummond, I.T.1    Horgan, R.R.2
  • 46
    • 69849109079 scopus 로고    scopus 로고
    • JMAPAQ 0022-2488 10.1063/1.3193681
    • G. L. Eyink, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.3193681 50, 083102 (2009).
    • (2009) J. Math. Phys. , vol.50 , pp. 083102
    • Eyink, G.L.1
  • 47
    • 0000271570 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.83.307
    • S. Lundquist, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.83.307 83, 307 (1951).
    • (1951) Phys. Rev. , vol.83 , pp. 307
    • Lundquist, S.1
  • 48
    • 79961091153 scopus 로고    scopus 로고
    • tρ?(x,t)+? •[u(x,t)ρ?(x,t)]=λ?ρ?(x,t), which is not the correct continuity equation
    • tρ?(x,t)+? •[u(x,t)ρ?(x,t)]=λ?ρ?(x,t), which is not the correct continuity equation.
  • 49
    • 0000043329 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.73.252
    • E. Villermaux and Y. Gagne, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.252 73, 252 (1994).
    • (1994) Phys. Rev. Lett. , vol.73 , pp. 252
    • Villermaux, E.1    Gagne, Y.2
  • 50
    • 8144225100 scopus 로고    scopus 로고
    • Study of the development of three-dimensional sets of fluid particles and iso-concentration fields using kinematic simulation
    • DOI 10.1017/S0022112004000898
    • F. Nicolleau and A. Elmaihy, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112004000898 517, 229 (2004). (Pubitemid 39474232)
    • (2004) Journal of Fluid Mechanics , vol.517 , pp. 229-249
    • Nicolleau, F.C.G.A.1    Elmaihy, A.2
  • 51
    • 0000821514 scopus 로고
    • ACMAA8 0001-5962 10.1007/BF02401743
    • L. C. Young, Acta Mathematica, ACMAA8 0001-5962 10.1007/BF02401743 67, 251 (1936).
    • (1936) Acta Mathematica , vol.67 , pp. 251
    • Young, L.C.1
  • 52
    • 34548071731 scopus 로고    scopus 로고
    • PYLAAG 0375-9601 10.1016/j.physleta.2007.04.054
    • G. L. Eyink, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2007.04. 054 368, 486 (2007).
    • (2007) Phys. Lett. A , vol.368 , pp. 486
    • Eyink, G.L.1
  • 53
    • 79961055803 scopus 로고    scopus 로고
    • ′(s).
    • ′ (s).
  • 55
    • 70350247595 scopus 로고    scopus 로고
    • ARAAAJ 0066-4146 10.1146/annurev-astro-082708-101726
    • E. G. Zweibel and M. Yamada, Annu. Rev. Astron. Astrophys. ARAAAJ 0066-4146 10.1146/annurev-astro-082708-101726 47, 291 (2009).
    • (2009) Annu. Rev. Astron. Astrophys. , vol.47 , pp. 291
    • Zweibel, E.G.1    Yamada, M.2
  • 56
    • 0016092494 scopus 로고
    • JFLSA7 0022-1120 10.1017/S0022112074001200
    • H. K. Moffatt, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112074001200 65, 1 (1974).
    • (1974) J. Fluid Mech. , vol.65 , pp. 1
    • Moffatt, H.K.1
  • 57
    • 0000492376 scopus 로고
    • JFLSA7 0022-1120 10.1017/S002211207600044X
    • R. H. Kraichnan, J. Fluid Mech. JFLSA7 0022-1120 10.1017/ S002211207600044X 75, 657 (1976).
    • (1976) J. Fluid Mech. , vol.75 , pp. 657
    • Kraichnan, R.H.1
  • 58
    • 0000083945 scopus 로고
    • JFLSA7 0022-1120 10.1017/S0022112076002875
    • R. H. Kraichnan, J. Fluid Mech. JFLSA7 0022-1120 10.1017/ S0022112076002875 77, 753 (1976).
    • (1976) J. Fluid Mech. , vol.77 , pp. 753
    • Kraichnan, R.H.1
  • 59
    • 0022753975 scopus 로고
    • JFLSA7 0022-1120 10.1017/S0022112086000290
    • S. I. Vainshtein and L. L. Kichatinov, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112086000290 168, 73 (1986).
    • (1986) J. Fluid Mech. , vol.168 , pp. 73
    • Vainshtein, S.I.1    Kichatinov, L.L.2
  • 60
    • 0024769196 scopus 로고
    • JFLSA7 0022-1120 10.1017/S002211208900279X
    • L. L. Kichatinov, J. Fluid Mech. JFLSA7 0022-1120 10.1017/ S002211208900279X 208, 115 (1989).
    • (1989) J. Fluid Mech. , vol.208 , pp. 115
    • Kichatinov, L.L.1
  • 62
    • 77149164548 scopus 로고    scopus 로고
    • AJLEEY 0004-637X 10.1088/0004-637X/705/1/L90
    • J. Cho and D. Ryu, Astrophys. J. AJLEEY 0004-637X 10.1088/0004-637X/705/ 1/L90 705, L90 (2009).
    • (2009) Astrophys. J. , vol.705 , pp. 90
    • Cho, J.1    Ryu, D.2
  • 63
    • 36849108990 scopus 로고
    • JMAPAQ 0022-2488 10.1063/1.1666192
    • I. Lerche, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1666192 14, 1381 (1973).
    • (1973) J. Math. Phys. , vol.14 , pp. 1381
    • Lerche, I.1
  • 64
    • 79961088810 scopus 로고    scopus 로고
    • ,Rem?1
    • ,Rem?1.
  • 65
    • 58249085992 scopus 로고    scopus 로고
    • PHFLE6 1070-6631 10.1063/1.3013635
    • G. L. Eyink, Phys. Fluids PHFLE6 1070-6631 10.1063/1.3013635 20, 125101 (2008).
    • (2008) Phys. Fluids , vol.20 , pp. 125101
    • Eyink, G.L.1
  • 66
    • 79961082910 scopus 로고    scopus 로고
    • ′,t)
    • ′,t).
  • 67
    • 0034691357 scopus 로고    scopus 로고
    • AJLEEY 0004-637X 10.1086/309127
    • J. Cho and E. T. Vishniac, Astrophys. J. AJLEEY 0004-637X 10.1086/309127 538, 217 (2000).
    • (2000) Astrophys. J. , vol.538 , pp. 217
    • Cho, J.1    Vishniac, E.T.2
  • 70
    • 79961092751 scopus 로고    scopus 로고
    • η. This criterion was easily satisfied for most points, with N=1024 particles. However, there were seven points of the 1600 for which this number N did not suffice. These were points of very large magnitude of velocity gradient, two or three times the rms value, associated to turbulent intermittency. For such points, we had to use more particles, up to N=65?536 or more than 2 billion particle pairs in the worst case
    • η. This criterion was easily satisfied for most points, with N=1024 particles. However, there were seven points of the 1600 for which this number N did not suffice. These were points of very large magnitude of velocity gradient, two or three times the rms value, associated to turbulent intermittency. For such points, we had to use more particles, up to N=65?536 or more than 2 billion particle pairs in the worst case.
  • 71
    • 79961047410 scopus 로고    scopus 로고
    • This Green's function was denoted in our previous work [10] as F?, and F was used for the corresponding adjoint Green's function
    • This Green's function was denoted in our previous work [10] as F?, and F was used for the corresponding adjoint Green's function.
  • 72
    • 0036103968 scopus 로고    scopus 로고
    • The Kraichnan-Kazantsev dynamo
    • DOI 10.1023/A:1014089820881
    • D. Vincenzi, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1014089820881 106, 1073 (2002). (Pubitemid 37133877)
    • (2002) Journal of Statistical Physics , vol.106 , Issue.5-6 , pp. 1073-1091
    • Vincenzi, D.1
  • 73
    • 79961075754 scopus 로고    scopus 로고
    • (private communication).
    • J. Cho (private communication).
    • Cho, J.1
  • 74
    • 11944270119 scopus 로고
    • AJLEEY 0004-637X 10.1086/175121
    • P. Goldreich and S. Sridhar, Astrophys. J. AJLEEY 0004-637X 10.1086/175121 438, 763 (1995).
    • (1995) Astrophys. J. , vol.438 , pp. 763
    • Goldreich, P.1    Sridhar, S.2
  • 75
    • 22544448459 scopus 로고    scopus 로고
    • Magnetohydrodynamic turbulence revisited
    • DOI 10.1086/304442
    • P. Goldreich and S. Sridhar, Astrophys. J. AJLEEY 0004-637X 10.1086/304442 485, 680 (1997). (Pubitemid 127113460)
    • (1997) Astrophysical Journal , vol.485 , Issue.2 , pp. 680-688
    • Goldreich, P.1    Sridhar, S.2
  • 77
    • 0037174478 scopus 로고    scopus 로고
    • JFLSA7 0022-1120 10.1017/S0022112002001337
    • A. Balk, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112002001337 467, 163 (2002).
    • (2002) J. Fluid Mech. , vol.467 , pp. 163
    • Balk, A.1
  • 78
    • 55049127694 scopus 로고    scopus 로고
    • ASNAAN 0004-6337 10.1002/asna.200811011
    • A. Busse and W.-C. Müller, Astron. Nachr. ASNAAN 0004-6337 10.1002/asna.200811011 329, 714 (2008).
    • (2008) Astron. Nachr. , vol.329 , pp. 714
    • Busse, A.1    Müller, W.-C.2
  • 79
    • 79051469712 scopus 로고    scopus 로고
    • EULEEJ 0295-5075 10.1209/0295-5075/78/14003
    • W.-C. Müller and A. Busse, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/78/14003 78, 14003 (2007).
    • (2007) Europhys. Lett. , vol.78 , pp. 14003
    • Müller, W.-C.1    Busse, A.2
  • 81
    • 79961057835 scopus 로고    scopus 로고
    • u
    • u.
  • 82
    • 33645810591 scopus 로고    scopus 로고
    • Polarization intermittency and its influence on MHD turbulence
    • DOI 10.1086/503708
    • A. Beresnyak and A. Lazarian, Astrophys. J. AJLEEY 0004-637X 10.1086/503708 640, L175 (2006). (Pubitemid 43570192)
    • (2006) Astrophysical Journal , vol.640 , Issue.2
    • Beresnyak, A.1    Lazarian, A.2
  • 83
    • 33845800313 scopus 로고    scopus 로고
    • Dynamic alignment in driven magnetohydrodynamic turbulence
    • DOI 10.1103/PhysRevLett.97.255002
    • J. Mason, F. Cattaneo, and S. Boldyrev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.255002 97, 255002 (2006). (Pubitemid 44974771)
    • (2006) Physical Review Letters , vol.97 , Issue.25 , pp. 255002
    • Mason, J.1    Cattaneo, F.2    Boldyrev, S.3
  • 84
    • 0034295423 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.62.5594
    • J. D. Bekenstein and A. Oron, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.62.5594 62, 5594 (2000).
    • (2000) Phys. Rev. e , vol.62 , pp. 5594
    • Bekenstein, J.D.1    Oron, A.2
  • 85
    • 4243897087 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.61.831
    • E. A. Kuznetsov and V. P. Ruban, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.61.831 61, 831 (2000).
    • (2000) Phys. Rev. e , vol.61 , pp. 831
    • Kuznetsov, E.A.1    Ruban, V.P.2
  • 86
    • 0033147350 scopus 로고    scopus 로고
    • AJLEEY 0004-637X 10.1086/307233
    • A. Lazarian and E. Vishniac, Astrophys. J. AJLEEY 0004-637X 10.1086/307233 517, 700 (1999).
    • (1999) Astrophys. J. , vol.517 , pp. 700
    • Lazarian, A.1    Vishniac, E.2
  • 87
    • 11944262614 scopus 로고
    • AJLEEY 0004-637X 10.1086/172046
    • E. N. Parker, Astrophys. J. AJLEEY 0004-637X 10.1086/172046 401, 137 (1992).
    • (1992) Astrophys. J. , vol.401 , pp. 137
    • Parker, E.N.1
  • 88
    • 69849088262 scopus 로고    scopus 로고
    • in edited by A. Ferriz-Mas and M. Nunez (CRC Press, Boca Raton
    • D. Galloway, in Advances in Nonlinear Dynamos, edited by, A. Ferriz-Mas, and, M. Nunez, (CRC Press, Boca Raton, 2003), Chap. 2, pp. 37-59.
    • (2003) Advances in Nonlinear Dynamos , pp. 37-59
    • Galloway, D.1
  • 89
    • 79961045969 scopus 로고    scopus 로고
    • private communication
    • E. Bodenschatz (private communication).
    • Bodenschatz, E.1
  • 90
    • 33750161709 scopus 로고    scopus 로고
    • The breakdown of Alfvén's theorem in ideal plasma flows: Necessary conditions and physical conjectures
    • DOI 10.1016/j.physd.2006.08.009, PII S0167278906003253
    • G. L. Eyink and H. Aluie, Phys. D (Amsterdam) PDNPDT 0167-2789 10.1016/j.physd.2006.08.009 223, 82 (2006). (Pubitemid 44596237)
    • (2006) Physica D: Nonlinear Phenomena , vol.223 , Issue.1 , pp. 82-92
    • Eyink, G.L.1    Aluie, H.2
  • 91
    • 51249192666 scopus 로고
    • NUCIAD 0029-6341 10.1007/BF02780991
    • L. Onsager, Nuovo Cimento Suppl. NUCIAD 0029-6341 10.1007/BF02780991 6, 279 (1949).
    • (1949) Nuovo Cimento Suppl. , vol.6 , pp. 279
    • Onsager, L.1
  • 92
    • 47049085401 scopus 로고    scopus 로고
    • PDNPDT 0167-2789 10.1016/j.physd.2008.02.005
    • G. Eyink, Phys. D (Amsterdam) PDNPDT 0167-2789 10.1016/j.physd.2008.02. 005 237, 1956 (2008).
    • (2008) Phys. D (Amsterdam) , vol.237 , pp. 1956
    • Eyink, G.1
  • 93
    • 79961083716 scopus 로고    scopus 로고
    • PDNPDT 0167-2789 10.1016/j.physd.2008.11.011
    • G. L. Eyink, Phys. D (Amstersdam) PDNPDT 0167-2789 10.1016/j.physd.2008. 11.011 239, 1236 (2010).
    • (2010) Phys. D (Amstersdam) , vol.239 , pp. 1236
    • Eyink, G.L.1
  • 96
    • 34547361024 scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.20.367
    • R. P. Feynman, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.20.367 20, 367 (1948).
    • (1948) Rev. Mod. Phys. , vol.20 , pp. 367
    • Feynman, R.P.1


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