Erratum: "Statistical theory of magnetohydrodynamic turbulence: Recent results" (Physics Reports (2004) vol. 401 (229-381) 10.1016/j.physrep.2004.07.007);Statistical theory of magnetohydrodynamic turbulence: Recent results

Physics Reports

Volumn 401, Issue 5-6, 2004, Pages 229-380

  Verma, Mahendra K ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

Field theory; MHD turbulence; Turbulent energy cascade rates

Indexed keywords

EID: 6944238469     PISSN: 03701573     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physrep.2005.10.004     Document Type: Erratum

References (203)

1. L.Ts. Adzhemyan N.V. Antonov A.N. Vasil'ev The Field Theoretic Renormalization Group in Fully Developed Turbulence 1999 Gordon and Breach Amsterdam
2. L.Ts. Adzhemyan A.N. Vasil'ev M. Gnatich Quantum-field renormalization group in the theory of turbulence magnetohydrodynamics Teor. Mat. Fiz. 64 1985 777
3. O. Agullo W.-C. Müller B. Knaepen D. Carati Large-eddy simulation of magnetohydrodynamic turbulence Phys. Plasmas 8 2001 3502-3505
4. A. Basu Statistical properties of driven magnetohydrodynamic turbulence in three dimensions novel universality Europhys. Lett. 65 2003 505-511
5. A. Basu Dynamo mechanism effects of correlations and viscosities Eur. Phys. J. B 38 2004 117-126
6. A. Basu A. Sen S.K. Dhar R. Pandit Multiscaling in models of magnetohydrodynamic turbulence Phys. Rev. Lett. 81 1998 2687-2690
7. G.K. Batchelor Pressure fluctuations in isotropic turbulence Proc. Cambridge Philos. Soc. 47 1951 359-374
8. G.K. Batchelor The Theory of Homogeneous Turbulence 1971 Cambridge University Press Cambridge
9. A. Berera D. Hochberg Asymptotic properties of turbulent magnetohydrodynamics cond-mat/0103447 2002
10. J.K. Bhattacharjee Homogeneous isotropic turbulence in randomly stirred fluids self-consistent mode coupling and perturbation theory Phys. Fluids A 3 1991 879
11. D. Biskamp Nonlinear Magnetohydrodynamics 1993 Cambridge University Press Cambridge
12. D. Biskamp Cascade models for magnetohydrodynamic turbulence Phys. Rev. E 50 1994 2702
13. D. Biskamp Response to comment on 'on two-dimensional magnetohydrodynamic turbulence' [Phys. Plasmas 8 (2001) 3282] Phys. Plasmas 9 2002 1486
14. D. Biskamp Magnetohydrodynamic Turbulence 2003 Cambridge University Press Cambridge
15. D. Biskamp W.-C. Müller Scaling properties of three-dimensional isotropic magnetohydrodynamic turbulence Phys. Plasmas 7 2000 4889
16. D. Biskamp E. Schwarz On two-dimensional magnetohydrodynamic turbulence Phys. Plasmas 8 2001 3282
17. D. Biskamp E. Schwarz A. Zeiler A. Celani J.F. Drake Electron magnetohydrodynamic turbulence Phys. Plasmas 6 1999 751-758
18. D. Biskamp H. Welter Dynamics of decaying two-dimensional magnetohydrodynamic turbulence Phys. Fluids B 1 1989 1964
19. E.G. Blackman Recent developments in magnetic dynamo theory In: E. Falgarone T. Passot (Eds.) Turbulence and Magnetic Fields in Astrophysics 2003 Springer Berlin 432-463
20. S.I. Braginskii Self excitation of magnetic field during the motion of a highly conducting fluid Sov. Phys. JETP 20 1964 726
21. S.I. Braginskii Theory of the hydrodynamic dynamo Sov. Phys. JETP 20 1964 1462
22. A. Brandenburg The inverse cascade and nonlinear α -effect in simulations of isotropic helical hydromagnetic turbulence Astrophys. J. 550 2001 824-840
23. A. Brandenburg Computational aspects of astrophysical mhd and turbulence in Nonlinear Dynamos 2003 Gordon and Breach London, New York 260-344
24. A. Brandenburg The helicity issue in large scale dynamo In: E. Falgarone T. Passot (Eds.) Turbulence and Magnetic Fields in Astrophysics 2003 Springer Berlin 402-431
25. A. Brandenburg K. Subramanian Astrophysical magnetic field and nonlinear dynamo theory submitted to Phys. Rep. 2004
26. L.F. Burlaga Intermittent turbulence in the solar wind J. Geophys. Res. 96 1991 5847-5851
27. S.J. Camargo H. Tasso Renormalization group in magnetohydrodynamic turbulence Phys. Fluids B 4 1992 1199
28. C. Canuto M.Y. Hussaini A. Quarteroni T.A. Zhang Spectral Methods in Fluid Turbulence 1988 Springer Berlin
29. D. Carati Renormalization-group theory of turbulence a d-dimensional expansion Phys. Rev. A 41 1990 3129-3133
30. D. Carati L. Brenig Renormalization-group for anisotropic turbulent transport Phys. Rev. A 40 1989 5193-5198
31. V. Carbone Cascade model for intermittency in fully developed magnetohydrodynamic turbulence Phys. Rev. Lett. 71 1993 1546-1548
32. C.C. Chang B.-S. Lin Renormalization group analysis of magnetohydrodynamic turbulence with the Alfvén effect J. Phys. Soc. Japan 71 2002 1450-1462
33. J. Cho Simulations on incompressible mhd turbulence J. Korean Astronomical Soc. 34 2001 S275-S279
34. J. Cho A. Lazarian Compressible magnetohydrodynamics turbulence mode coupling, scaling relations, anisotropy, new regime and astrophysical implications Mon. Not. R. Astron. Soc. 345 2003 325-339
35. J. Cho A. Lazarian E.T. Vishniac Simulations of magnetohydrodynamic turbulence in a strongly magnetized medium Astrophys. J. 564 2002 291-301
36. J. Cho A. Lazarian E.T. Vishniac Ordinary and viscosity-damped magnetohydrodynamic turbulence Astrophys. J. 595 2003 812-823
37. J. Cho E.T. Vishniac Anisotropy of mhd Alfvénic turbulence Astrophys. J. 539 2000 273
38. J. Cho E.T. Vishniac The generation of magnetic field through driven turbulence Astrophys. J. 538 2000 217
39. H. Chou The dependence of dynamo α -effect on Reynolds number, magnetic Prandtl number, and the statistics of mhd turbulence Astrophys. J. 552 2000 803-820
40. H. Chou Numerical analysis of magnetic field amplification by turbulence Astrophys. J. 556 2001 1038-1051
41. A.R. Choudhuri The Physics of Fluids and Plasmas 1998 Cambridge University Press Cambridge
42. T.G. Cowling Magnetohydrodynamics 1976 Adam Hilger London
43. G. Dar M.K. Verma V. Eswaran Sensitivity of initial conditions on the global quantities in mhd turbulence Phys. Plasmas 5 1998 2528
44. G. Dar M.K. Verma V. Eswaran A new approach to study energy transfer in fluid and magnetohydrodynamic turbulence physics/0006012 2000
45. G. Dar M.K. Verma V. Eswaran Energy transfer in two-dimensional magnetohydrodynamic turbulence Physica D 157 2001 207
46. O. Debliquy M.K. Verma D. Carati Energy fluxes and shell-to-shell transfers in three-dimensional decaying magnetohydrodynamics turbulence submitted to Phys. Plasmas 2004
47. C. DeDominicis P.C. Martin Energy spectra of certain randomly-stirred fluids Phys. Rev. A 19 1979 419-422
48. M. Dobrowlny A. Mangeney P. Veltri Fully developed anisotropic hydromagnetic turbulence in interplanetary plasma Phys. Rev. Lett. 45 1980 144
49. J.A. Domaradzki R.S. Rogallo Local energy transfer and nonlocal interactions in homogenous, isotropic turbulence Phys. Fluids A 2 1990 413
50. W.M. Elsässer Induction effects in terrestrial magnetism, i. Theory Phys. Rev. 69 1946 106
51. G.L. Eyink The renormalization group method in statistical hydrodynamics Phys. Fluids 6 1994 3063
52. E. Falgarone T. Passot (Eds.) Turbulence and Magnetic Field in Astrophysics Lecture Notes in Physics Springer, Berlin 2003
53. G.B. Field E.G. Blackman H. Chou Nonlinear α -effect in dynamo theory Astrophys. J. 513 1999 638-651
54. Deiter Forster D.R. Nelson M.J. Stephen Large-distance and long-time properties of a randomly stirred fluids Phys. Rev. A 16 1997 732-749
55. J.D. Fournier U. Frisch d-dimensional turbulence Phys. Rev. A 17 1979 747-762
56. J.D. Fournier U. Frisch Remarks on the renormalization group in statistical fluid dynamics Phys. Rev. A 28 1983 1000
57. J.D. Fournier U. Frisch H.A. Rose Infinite-dimensional turbulence J. Phys. A 11 1978 187
58. J.D. Fournier P.-L. Sulem A. Pouquet Infrared properties of forced magnetohydrodynamic turbulence J. Phys. A 15 1982 1393
59. P. Frick D. Sokoloff Cascade and dynamo action in shell model of magnetohydrodynamic turbulence Phys. Rev. E 57 1998 4155
60. U. Frisch A simple dynamical model of intermittent fully developed turbulence J. Fluid Mech. 87 1978 719
61. U. Frisch Turbulence 1995 Cambridge University Press Cambridge
62. U. Frisch A. Pouquet J. Léorat A. Mazure Possibility of an inverse cascade of magnetic helicity in magnetohydrodynamic turbulence J. Fluid Mech. 68 1975 769-778
63. S. Galtier S.V. Nazarenko A.C. Newell A. Pouquet A weak turbulence theory for incompressible magnetohydrodynamics J. Plasma Phys. 63 2000 447-488
64. S. Galtier H. Politano A. Pouquet Self-similar energy decay in magnetohydrodynamic turbulence Phys. Rev. Lett. 79 1997 2807
65. S. Galtier A. Pouquet Solar flare statistics with a one-dimensional mhd model Solar Phys. 179 1998 141-165
66. M. Germano U. Piomelli P. Moin W. Cabot A dynamic subgrid-scale eddy-viscosity model Phys. Fluids A 3 1991 1760-1765
67. A.D. Gilbert Dynamo theory S. Friedlander D. Serve (Eds.) Handbook of Mathematical Fluid Dynamics vol. II 2003 Elsevier, Amsterdam 355
68. C. Gloaguen J. Léorat A. Pouquet R. Grappin A scalar model for mhd turbulence Physica D 17 1985 154
69. P. Goldreich S. Sridhar Toward a theory of interstellar turbulence. ii. Strong Alfvénic turbulence Astrophys. J. 438 1995 763-775
70. M.L. Goldstein D.A. Roberts W.H. Matthaeus Magnetohydrodynamic turbulence in the solar wind Ann. Rev. Astron. Astrophys. 33 1995 283-325
71. T. Gotoh Small-scale statistics of turbulence at high Reynolds numbers by massive computation Comput. Phys. Commun. 147 2002 530-532
72. R. Grappin U. Frisch J. Leorat A. Pouquet Alfvenic fluctuations as asymptotic states of mhd turbulence Astron. Astrophys. 105 1982 6
73. R. Grappin A. Pouquet J. Leorat Dependence of mhd turbulence spectra on the velocity-magnetic field correlation Astron. Astrophys. 126 1983 51
74. N.E.L. Haugen A. Brandenburg W. Dobler Is nonhelical hydromagnetic turbulence peaked at small scales? Astrophys. J. 597 2003 L141
75. N.E.L. Haugen A. Brandenburg W. Dobler Simulations of nonhelical hydromagnetic turbulence Phys. Rev. E 70 2004 16308
76. M. Hnatich J. Honkonen M. Jurcisin Stochastic magnetohydrodynamic turbulence in space dimensions d ≥ 2 Phys. Rev. E 64 2001 56411
77. P.S. Iroshnikov Turbulence of a conducting fluid in a strong magnetic field Sov. Astron. I 7 1964 566
78. A. Ishizawa Y. Hattori Large coherent structure formation by magnetic stretching term in two-dimensional mhd turbulence J. Phy. Soc. Japan 67 1998 4302
79. A. Ishizawa Y. Hattori Wavelet analysis of two-dimensional mhd turbulence J. Phys. Soc. Japan 67 1998 441-450
80. A.N. Kolmogorov Dissipation of energy in locally in locally isotropic turbulence Dokl. Akad. Nauk SSSR 32 1941 16-18
81. A.N. Kolmogorov The local structure of turbulence in incompressible viscous fluid for very large Reynolds number Dokl. Akad. Nauk SSSR 30 1941 9-13
82. A.N. Kolmogorov On degeneration (decay) of isotropic turbulence in an incompressible viscous liquid Dokl. Akad. Nauk SSSR 31 1941 538-540
83. A.N. Kolmogorov A refinement of previous hypothesis concerning the local structure of turbulence in a viscous incompressible fluid in high Reynolds number J. Fluid Mech. 13 1962 82
84. R.H. Kraichnan The structure of isotropic turbulence at very high Reynolds numbers J. Fluid Mech. 5 1959 497
85. R.H. Kraichnan Inertial range spectrum of hydromagnetic turbulence Phys. Fluids 8 1965 1385-1987
86. R.H. Kraichnan Inertial-range transfer in two- and three-dimensional turbulence J. Fluid Mech. 47 1971 525
87. R.H. Kraichnan Hydrodynamic turbulence and renormalization group Phys. Rev. A 25 1982 3281
88. R.H. Kraichnan An interpretation of the Yakhot-Orszag turbulence theory Phys. Fluids 30 1987 2400
89. R.H. Kraichnan S. Chen Is there a statistical mechanics of turbulence? Physica D 37 1989 160
90. R.H. Kraichnan D. Montgomery Two-dimensional turbulence Phys. Rep. 43 1980 547-619
91. F. Krause K.H. Rädler Mean-Field Magnetohydrodynamics and Dynamo Theory 1980 Pergamon Press Oxford
92. J.A. Krommes Systematic statistical theories of plasma turbulence and intermittency: current status and future prospects Phys. Rep. 283 1997 5-48
93. J.A. Krommes Fundamental statistical description of plasma turbulence in magnetic field Phys. Rep. 360 2002 1-352
94. R.M. Kulsrud S.W. Anderson The spectrum of random magnetic fields in the mean field dynamo theory of the galactic magnetic field Astrophys. J. 396 1992 606-630
95. P.K. Kundu I.M. Cohen Fluid Mechanics 1990 Academic Press San Diego
96. L.D. Landau E.M. Lifsitz Fluid Mechanics 1987 Pergamon Press Oxford
97. Larmer J. How could a rotating body such as the sun become a magnet? Rep. Brit. Assoc. Adv. Sci. (1919) 159.
98. L.L. Lee A formulation of the theory of isotropic hydromagnetic turbulence in an incompressible fluid Ann. Phys. 32 1965 202
99. R.G. Lerner G.L. Trigg Encyclopedia of Physics second ed. 1990 VCH Publishers New York
100. M. Lesieur Turbulence in Fluids-Stochastic and Numerical Modelling 1990 Kluwer Academic Publishers Dordrecht
101. D.C. Leslie Development in the Theory of Turbulence 1973 Oxford University Press Claredon
102. W.Z. Liang P.H. Diamond A renormalization group analysis of two-dimensional magnetohydrodynamic turbulence Phys. Fluids B 5 1993 63-73
103. Y. Lithwick P. Goldreich Compressible mhd turbulence in interstellar plasmas Astrophys. J. 562 2001 279
104. Y. Lithwick P. Goldreich Imbalanced weak mhd turbulence Astrophys. J. 582 2003 1220-1240
105. D.W. Longcope R.N. Sudan Renormalization group analysis of reduced magnetohydrodynamics with applications to subgrid modeling Phys. Fluids B 3 1991 1945
106. V.S. L'vov I. Procaccia Intermittency in hydrodynamic turbulence as intermediate asymptotics to Kolmogorov scaling Phys. Rev. Lett. 74 1995 2690
107. C. Maneveau K.R. Sreenivasan Simple multifractal cascade model for fully developed turbulence Phys. Rev. Lett. 59 1987 1424-1427
108. J. Maron P. Goldreich Simulation of incompressible mhd turbulence Astrophys. J. 554 2001 1175
109. E. Marsch Turbulence in the solar wind G. Klare (Ed.) Reviews in Modern Astronomy 1990 Springer, Berlin 43
110. E. Marsch C.-Y. Tu On the radial evolution of mhd turbulence in the inner heliosphere J. Geophys. Res. 95 1990 8211
111. E. Marsch C.Y. Tu Non-gaussian probability distribution of solar wind fluctuations Ann. Geophysicae 12 1994 1127-1138
112. W.H. Matthaeus M.L. Goldstein Measurement of the rugged invariants of magnetohydrodynamic turbulence in the solar wind J. Geophys. Res. 87 1982 6011
113. W.H. Matthaeus M.L. Goldstein D.C. Montgomery Turbulent generation of outward travelling interplanetary Alfvenic fluctuations Phys. Rev. Lett. 51 1983 1484
114. W.H. Matthaeus D. Montgomery Dynamic alignment and selective decay in mhd C.W.J. Horton L.E. Reichl (Eds.) Statistical Physics and Chaos in Fusion Plasmas 1984 Wiley, New York 285
115. W.H. Matthaeus S. Oughton S. Ghosh M. Hossain Scaling of anisotropy in hydromagnetic turbulence Phys. Rev. Lett. 81 1998 2056-2059
116. W.H. Matthaeus G.P. Zank C.W. Smith S. Oughton Turbulence, spatial transport, and heating of the solar wind Phys. Rev. Lett. 82 1999 3444-3447
117. W.H. Matthaeus Y. Zhou Extended inertial range phenomenology of magnetohydrodynamic turbulence Phys. Fluids B 1 1989 1929
118. W.D. McComb Reformulation of the statistical equations for turbulent shear flow Phys. Rev. A 26 1982 1078
119. W.D. McComb The Physics of Fluid Turbulence 1990 Oxford University Press Claredon
120. W.D. McComb Theory of turbulence Rep. Prog. Phys. 58 1995 1117-1206
121. W.D. McComb Renormalization Methods 2004 Clarendon Press Oxford
122. W.D. McComb A. Hunter C. Johnston Conditional mode-elimination and the subgrid-modelling problem for isotropic turbulence Phys. Fluids 13 2001 2030
123. W.D. McComb V. Shanmugasundaram Fluid turbulence and renormalization group: a preliminary calculation of the eddy viscosity Phys. Rev. A 28 1983 2588
124. W.D. McComb A.G. Watt Two-field theory of incompressible-fluid turbulence Phys. Rev. A 46 1992 4797
125. H.K. Moffatt Magnetic Fields Generation in Electrically Conducting Fluids 1978 Cambridge University Press Cambridge
126. Monin A.S. Yaglom A.M. Statistical Fluid Mechanic: Mechanics of Turbulence, vol. 2, MIT Press, Cambridge, 1975.
127. D. Montgomery M.R. Brown W.H. Matthaeus Density fluctuation spectra in magnetohydrodynamic turbulence J. Geophys. Res. 92 1987 282-284
128. D. Montgomery H. Chen Turbulent amplification of large-scale magnetic field Plasma Phys. Controlled Fusion 26 1984 1199
129. D. Montgomery H. Chen Turbulent mhd transport coefficients: an attempt at self-consistency Plasma Phys. Controlled Fusion 29 1987 205
130. D. Montgomery T. Hatori Analytical estimate of turbulent mhd transport coefficients Plasma Phys. Controlled Fusion 26 1984 717
131. D.C. Montgomery Theory of hydromagnetic turbulence M. Neugebauer (Ed.) Solar Wind Five 1983 NASA Conf. Publ. CP-2280 Coplan, MA 107
132. W.-C. Müller D. Biskamp Scaling properties of three-dimensional magnetohydrodynamic turbulence Phys. Rev. Lett. 84 2000 475-478
133. W.-C. Müller D. Biskamp R. Grappin Statistical anisotropy of magnetohydrodynamic turbulence Phys. Rev. E 67 2003 66302
134. W.-C. Müller D. Carati Dynamic gradient-diffusion subgrid models for incompressible magnetohydrodynamic turbulence Phys. Plasmas 9 2002 824-834
135. K. Nakayama Statistical theory of anisotropic magnetohydrodynamic turbulence: an approach to strong shear Alfvén turbulence by direct-interaction approximation Astrophys. J. 523 1999 315
136. V. Naulin O.E. Garcia A.H. Nielsen J. Juul Rasmussen Statistical properties of transport in plasma turbulence Phys. Lett. A 321 2004 355-365
137. E.A. Novikov R.W. Stewart The intermittency of turbulence and the spectrum of energy dissipation Izv. Akad. Nauk SSSR, Ser. Geoffiz 3 1964 408-412
138. A.M. Obukhov Some specific features of atmospheric turbulence J. Fluid Mech. 13 1962 77
139. S.A. Orszag Statistical theory of turbulence, in: Fluid Dynamics, Les Houches 1973 Summer School of Theoretical Physics 1977 Gordon and Breach, Berlin 273
140. S. Oughton R. Prandi Kinetic helicity and mhd turbulence J. Plasma Phys. 64 2000 179-193
141. S. Oughton E.R. Priest W.H. Matthaeus The influence of a mean magnetic field on three-dimensional magnetohydrodynamic turbulence J. Fluid Mech. 280 1994 95
142. G. Parisi U. Frisch On the singularity structure of fully developed turbulence in: M. Ghil R. Benzi G. Parisi (Eds.) Turbulence and Predictability in Geophysical Fluid Dynamics 1985 North-Holland, Amsterdam 744-745
143. E.N. Parker Hydromagnetic dynamo models Astrophys. J. 122 1955 293
144. H. Politano A. Pouquet Models of intermittency in magnetohydrodynamic turbulence Phys. Rev. E 52 1995 636-641
145. H. Politano A. Pouquet Dynamic length scales for turbulent magnetized flows Geophys. Res. Lett. 25 1998 273-276
146. D.H. Porter A. Pouquet P.R. Woodward Three-dimensional supersonic homogeneous turbulence: a numerical study Phys. Rev. Lett. 68 1992 3156-3159
147. A. Pouquet On two-dimensional magnetohydrodynamic turbulence J. Fluid Mech. 88 1978 1-16
148. A. Pouquet Magnetohydrodynamic turbulence in: J.-P. Zahn J. Zinn-Justin (Eds.) Astrophysical Fluid Dynamics, Les Houches 1987 Summer School of Theoretical Physics 1987 Elsevier Science Publishers, Amsterdam 139
149. A. Pouquet U. Frisch J. Léorat Strong mhd helical turbulence and the nonlinear dynamo effect J. Fluid Mech. 77 1976 321-354
150. A. Pouquet M. Meneguzzi U. Frisch Growth of correlations in magnetohydrodynamic turbulence Phys. Rev. A 33 1986 4266
151. A. Pouquet G.S. Patterson Numerical simulation of helical magnetohydrodynamic turbulence J. Fluid Mech. 85 1978 305-323
152. E.R. Priest Solar Magnetohydrodynamics 1984 Reidel Dordrecht
153. D.A. Roberts L.W. Klein M.L. Goldstein W.H. Matthaeus The nature and evolution of magnetohydrodynamic fluctuations in the solar wind: voyager observations J. Geophys. Res. 92 1987 11021
154. D.A. Roberts L.W. Klein M.L. Goldstein W.H. Matthaeus Origin and evolution of fluctuations in the solar wind: helios observations and helios-voyager comparison J. Geophys. Res. 92 1987 12023
155. P.H. Roberts G.A. Gladtzmaier Geodynamo theory and simulations Rev. Mod. Phys. 72 2000 1081-1123
156. R. Ruiz D.R. Nelson Turbulence in binary fluid mixtures Phys. Rev. A 23 1981 3224-3246
157. A.A. Schekochihin S.A. Boldyrev R.M. Kulsrud Spectra and growth rates of fluctuating magnetic field in the kinematic dynamo theory with large magnetic prandtl number Astrophys. J. 567 2002 828-852
158. A.A. Schekochihin S.C. Cowley G.W. Hammett J.L. Maron J.C. Williams A model of nonlinear evolution and saturation of the turbulent mhd dynamo New. J. Phys. 4 2002 84
159. Zhen-Su She E. Leveque Universal scaling laws in fully developed turbulence Phys. Rev. Lett. 72 1994 336
160. J.V. Shebalin W.H. Matthaeus D. Montgomery Anisotropy in mhd turbulence due to a mean magnetic field J. Plasma Phys. 29 1983 525-547
161. F.H. Shu The Physics of Astrophysics 1992 University Science Books Mill Vallye, CA
162. G.L. Siscoe Solar system magnetohydrodynamics, in: Solar-Terrestrial Physics 1983 D. Reidel Publishing Co. Dordrecht, Holland 11-100
163. L.M. Smith S.L. Woodruff Renormalization-group analysis of turbulence Ann. Rev. Fluid Mech. 30 1998 275-310
164. K.R. Sreenivasan Simple multifractal cascade model for fully developed turbulence Rev. Mod. Phys. 71 1999 S383-S395
165. S. Sridhar P. Goldreich Toward a theory of interstellar turbulence. i. weak Alfvénic turbulence Astrophys. J. 432 1994 612-621
166. M.M. Stanišić Mathematic Theory of Turbulence 1988 Springer New York
167. M. Steenbeck F. Krause K.-H. Räadler A calculation of the mean electromotive force in an electrically conducting fluid in turbulent motion, under the influence of coriolis forces Z. Naturforsh 21a 1966 369-376
168. T. Stribling W.H. Mattheaus Statistical properties of ideal three-dimensional magnetohydrodynamics Phys. Fluids B 2 1990 1979
169. E.V. Teodorovich On the calculation of the Kolmogorov constant in a description of turbulence by means of the renormalization method Sov. Phys. JETP 69 1989 89
170. A.C. Ting W.H. Matthaeus D. Montgomery Turbulent relaxation processes in magnetohydrodynamics Phys. Fluids 29 1986 9695
171. D.J. Tritton Physical Fluid Dynamics 1988 Clarendon Press Oxford
172. C.-Y. Tu The damping of interplanetary Alfvénic fluctuations and the heating of the solar wind J. Geophys. Res. 93 1988 7-20
173. C.-Y. Tu E. Marsch A case-study of very low cross helicity fluctuations in the solar wind Ann. Geophys. 9 1991 319-332
174. C.-Y. Tu E. Marsch MHD Structures, Waves and Turbulence in the Solar Wind 1995 Kluwer Academic Publishers Dordrecht
175. C.Y. Tu E. Marsch H. Rosenbauer An extended structure-function model and its application to the analysis of solar wind intermittency properties Ann. Geophys. 14 1996 270-285
176. A.A. Vedenov Theory of Turbulent Plasma 1968 London Iliffe Book Ltd. London
177. Verma M.K. Magnetohydrodynamic turbulence models of solar wind fluctuations, Ph.D. Thesis, University of Maryland, College Park, 1994.
178. M.K. Verma Nonclassical viscosity and resistivity of the solar wind plasma J. Geophys. Res. 101 1996 27549
179. M.K. Verma Mean magnetic field renormalization and Kolmogorov's energy spectrum in magnetohydrodynamic turbulence Phys. Plasmas 6 1999 1455
180. M.K. Verma Computation of renormalized viscosity and resistivity in magnetohydrodynamic turbulence Phys. Plasmas 8 2001 3945-3956
181. M.K. Verma Field theoretic calculation of renormalized-viscosity, renormalized-resistivity, and energy fluxes of magnetohydrodynamic turbulence Phys. Rev. E 64 2001 26305
182. M.K. Verma Field theoretic calculation of scalar turbulence Int. J. Mod. Phys. B 15 2001 3419
183. M.K. Verma Energy fluxes in helical magnetohydrodynamics and dynamo action Pramana 61 2003 707
184. M.K. Verma Field theoretic calculation of energy cascade in nonhelical magnetohydrodynamic turbulence Pramana 61 2003 577
185. Verma M.K. Ayyer A. Debliquy O. Kumar S. Chandra A.V. Local shell-to-shell energy transfer via nonlocal interactions in fluid turbulence, nlin.CD/0204027, 2004.
186. Verma M.K. Ayyer A. Shell-to-shell energy transfers in magnetohydrodynamic turbulence, nlin.CD/0308005, 2004.
187. M.K. Verma J.K. Bhattacharjee Computation of Kolmogorov's constant in magnetohydrodynamic turbulence Europhys. Lett. 31 1995 195
188. Verma M.K. Dar G. Eswaran V. Comment on "on two-dimensional magnetohydrodynamic turbulence" [Phys. Plasmas 8 (2001) 3282], Phys. Plasmas 9 (2002) 1484.
189. M.K. Verma S. Kumar Large-eddy simulations of fluid and magnetohydrodynamic turbulence using renormalized parameters Pramana 63 2004 553
190. M.K. Verma D.A. Roberts M.L. Goldstein Turbulent heating and temperature evolution in the solar wind plasma J. Geophys. Res. 100 1995 19839
191. M.K. Verma D.A. Roberts M.L. Golstein S. Ghosh W.T. Stribling A numerical study of the nonlinear cascade of energy in magnetohydrodynamic turbulence J. Geophys. Res. 101 1996 21619
192. K. Wilson J. Kogut The renormalization group and the ε expansion Phys. Rep. 12C 1974 75-200
193. V. Yakhot S.A. Orszag Renormalization group analysis of turbulence. i. Basic theory J. Sci. Comput. 1 1986 3
194. S. Yanase J. Mizushimam S. Kida Coherent structure in mhd turbulence and turbulent dynamo in: M. Lesieur O. Métais (Eds.) Turbulence and Coherent Structures 1990 Kluwer Academic Publishers, Dordrecht 569-583
195. G.P. Zank W.H. Matthaeus Nearly incompressible hydrodynamics and heat conduction Phys. Rev. Lett. 64 1990 1243-1246
196. G.P. Zank W.H. Matthaeus The equation of nearly incompressible fluids. i. Hydrodynamics, and waves Phys. Fluids A 3 1991 69-82
197. Ya.B. Zeldovich A.A. Ruzmaikin D.D. Sokoloff Magnetic fields in Astrophysics 1983 Gordon and Breach Science Publishers New York
198. Y. Zhou Effect of helicity on renormalized eddy viscosity and subgrid scale closure for hydrodynamic turbulence Phys. Rev. A 41 1990 5683-5686
199. Y. Zhou Degree of locality of energy transfer in the inertial range Phys. Fluids 5 1993 1092-1094
200. Y. Zhou W.H. Matthaeus Models of inertial range spectra of interplanetary magnetohydrodynamic turbulence J. Geophys. Res. 95 1990 10291
201. Zhou Y. McComb W.D. Vahala G. Renormalization group (rg) in turbulence: historical and comparative perspective, NASA CR-201718, ICASE Rep. No. 97-36, 1997.
202. Y. Zhou G. Vahala Reformulation of recursive-renormalization-group-based subgrid modeling of turbulence Phys. Rev. E 47 1993 2503
203. Y. Zhou G. Vahala M. Hussain Renormalization-group theory for the eddy viscosity in subgrid modeling Phys. Rev. A 37 1988 2590