Phenomenology of hydromagnetic turbulence in a uniformly expanding medium

Journal of Plasma Physics

Volumn 56, Issue PART 2, 1996, Pages 659-675

  Matthaeus, William H ^a   Zank, Gary P ^a   Oughton, Sean ^b  

^a UNIVERSITY OF DELAWARE   (United States)

^b UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ASTROPHYSICS; FLOW OF FLUIDS; HYDRODYNAMICS; PHYSICS; PLASMAS; TURBULENCE;

PHENOMENOLOGY; UNIFORMLY EXPANDING MEDIUM;

MAGNETOHYDRODYNAMICS;

EID: 0030368038     PISSN: 00223778     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0022377800019516     Document Type: Article

References (43)

1. Barnes, A. 1979 Hydromagnetic waves and turbutence in the solar wind. Solar System Plasma Physics, Vol. I (ed. E. X. Parker, C. F. Kennel and L. J. Lanzerotti), p. 251. North-Holland, Amsterdam.
2. Belcher, J. W. and Davis, L. 1971 Large-amplitude Alfvén waves in the interplanetary medium, 2. J. Geophys. Res. 76, 3534.
3. Bieber, J. W., Wanner, W. and Matthaeus, W. H. 1996 Dominant two-dimensional solar wind turbulence with implications for cosmic ray transport. J. Geophys. Res. 101, 2511.
4. Bradshaw, P., Cebeci, T. and Whitelaw, J. 1981 Engineering Calculation Methods for Turbulent Flow, Academic Press, New York.
5. Coleman, P.J. 1968 Turbulence, viscosity, and dissipation in the solar wind plasma. Astrophys. J. 153, 371.
6. Comte-Bellot, G. and Corrsin, S. 1966 The use of a contraction to improve the isotropy of grid-generated turbulence. J. Fluid Mech. 24, 657.
7. Dobrowolny, M., Mangeney, A. and Veltri, P. 1980 Fully developed anisotropic hydromagnetic turbulence in interplanetary space. Phys. Rev. Lett. 45, 144.
8. Dryden, H. L. 1943 A review of the statistical theory of turbulence. Q. Appl. Maths 1, 7.
9. Elsässer, W. M. 1950 The hydromagnetic equations. Phys. Rev. 79, 183.
10. Forsyth, R. J., Horbury, T. S., Balogh, A. and Smith, E. J. 1996 Hourly variances of fluctuations in the heliospheric magnetic field out of the eeliptic plane. Geophys. Rev. Lett. 23, 595.
11. Goldstein, M. L., R. D. A. and Matthaeus, W. H. 1995 Magnetohydrodynamic turbulence in the solar wind. Ann. Rev. Astron. Astrophys. 33, 283.
12. 0 and δb. J. Geophys. Res. 79, 1539.
13. Hossain, M., Gray, P.C., Pontius, D.H., Matthaeus, W. H. and Oughton, S. 1995 Phenomenology for the decay of energy-containing eddies in homogeneous mhd turbulence. Phys. Fluids 7, 2886.
14. Jokipii, J. R. and Kota, J. 1989 The polar heliospheric magnetic field. Geophys. Rev. Lett. 16, 1.
15. Jones, W. P. and Launder, B. 1972 Calculation of low-Reynolds-number phenomena with a 2-equation model of turbulence. Int. J. Heat Mass Transf. 15, 301.
16. Kármán, T. von and Howarth, L. 1938 On the statistical theory of isotropic turbulence. Proc. R. Soc. Lond. A164, 192.
17. Kármán, T. von and Lin, C. C. 1949 On the concept of similarity in the theory of isotropic turbulence. Rev. Mod. Phys. 21, 516.
18. Kármán, T. von and Lin, C. C. 1987 On the statistical theory of turbulence. Selected Papers of C.C. Lin. Vol. 1. p. 135. World Scientific. Singapore.
19. Klein, L. W., Roberts, D. A. and Goldstein, M. L. 1991 Anisotropy and minimum variance directions of solar wind fluctuations in the outer heliosphere. J. Geophys. Res. 96, 3779.
20. Kolmogorov, A. N. 1941 On degeneration of isotropic turbulence in an incompressible viscous liquid. C.R. Acad Sci URSS 31, 538.
21. Kraichnan, R. H. 1965 Inertial-range spectrum of hydromagnetic turbulence. Phys. Fluids 8, 1385.
22. Marsch, E. and Tu, C.-Y. 1989 Dynamics of correlation functions with Elsässer variables for inhomogeneous MHD turbulence. J. Plansma Phys. 41, 479.
23. Marsch, E. and Tu, C.-Y. 1993 Modeling results on spatial transport and spectral transfer of solar wind Alfvénic turbulence. J. Geophys. Res. 98, 21 045.
24. Matthaeus, W. H. and Goldstein, M. L. 1982a Measurement of the rugged invariants of magnetohydrodynamic turbulence in the solar wind. J. Geophys. Res. 87, 6011.
25. Matthaeus, W. H. and Goldstein, M. L. 1982b Stationarity of magnetohydrodynamic fluctuations in the solar wind. J. Geophys. Res. 87, 10 347.
26. Matthaeus, W. H., Goldstein, M. L. and Roberts, D. A. 1990 Evidence for the presence of quasi-two-dimensional nearly incompressible fluctuations in the solar wind. J. Geophys. Res. 95, 20 673.
27. Matthaeus, W. H., Oughton, S., Pontius, D. and Zhou, Y. 1994 Evolution of energy containing turbulent eddies in the solar wind. J. Geophys. Res. 99, 19267.
28. Orszag, S. A. 1977 Lectures on the statistical theory of turbulence. Fluid Dynamics. Les Hauches Summer School, 1973 (ed. R. Balian and J.-L. Peube), p. 235. Gordon and Breach, New York.
29. Oughton, S. 1993 Transport of solar wind fluctuations: a turbulence approach. PhD thesis. University of Delaware, Newark.
30. Oughton, S. and Matthaeus, W. H. 1995 Linear transport of solar wind fluctuations. J. Geophys. Res. 100, 14783.
31. Roberts, D. A., Goldstein, M. L. and Klein, L. W. 1990 The amplitudes of interplanetary fluctuations: stream structure, heliocentric distance, and frequency dependence. J. Geophys. Res. 95, 4203.
32. Roberts, D. A., Klein, L. W., Goldstein, M. L. and Matthaeus, W. H. 1987a The nature and evolution of magnetohydrodynamic fluctuations in the solar wind: Voyager observations. J. Geophys. Res. 92, 11 021.
33. Roberts, D. A., Goldstein, M. L., Klein, L. W. and Matthaeus, W. H. 1987b Origin and evolution of fluctuations in the solar wind: Helios observations and Helios-Voyager comparisons. J. Geophys. Res. 92, 12 023.
34. Saffman, P. G. 1967 Note on decay of homogeneous turbulence. Phys. Fluids 10, 1349.
35. Schmidt, J. M. and Marsch, E. 1995 Spatial transport and spectral transfer of solar wind turbulence composed of Alfvén waves and convective structures. 1: The theoretical model. Ann. Geophys. 13, 459.
36. Taylor, G. I. 1935 Statistical theory of turbulence. Parts 1-4. Proc. R. Soc. Lond. A151, 421.
37. Tu, C.-Y. and Marsch, E. 1990 Transfer equations for spectral densities of inhomogeneous mhd turbulence. J. Plasma Phys. 44, 103.
38. Tu, C.-Y. and Marsch, E. 1993 A model of solar wind fluctuations with two components: Alfvén waves and convective structures. J. Geophys. Res. 98, 1257.
39. Verma, M. K. and Roberts, D. A. 1993 The radial evolution of the amplitudes of 'dissipationless' turbulent solar wind fluctuations. J. Geophys. Res. 98, 5625.
40. Verma, M. K., Roberts, D. A., Goldstein, M. L., Ghosh, S. and Stribling, W. T. 1996 A numerical study of the nonlinear cascade of energy in magnetohydrodynamic turbulence. J. Geophys. Res., in press.
41. Zank, G. P., Matthaeus, W. H. and Smith, C. W. 1996 Evolution of turbulent magnetic fluctuation power with heliocentric distance. J. Geophys. Res. 101, 17 093.
42. Zhou, Y. and Matthaeus, W. H. 1990a Transport and turbulence modeling of solar wind fluctuations. J. Geophys. Res. 95, 10 291.
43. Zhou, Y. and Matthaeus, W. H. 1990b Remarks on transport theories of interplanetary fluctuations. J. Geophys. Res. 95, 14 863.