Compressible alfven turbulence in one dimension

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 58, Issue 3, 1998, Pages R2709-R2712

  Fleischer, J ^a   Diamond, P H ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012827479     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.58.R2709     Document Type: Article

References (21)

1. J. M. Burgers, The Nonlinear Diffusion Equation (Reidel, Boston, 1974).
2. G. Parisi and U. Frisch, in Turbulence and Predictability in Geophysical Fluid Dynamics and Climate Dynamics, Proceedings of the International School of Physics “Enrico Fermi, ” Course 88, Varenna, Italy, edited by M. Ghil, R. Benzi, and G. Parisi (North-Holland, Amsterdam, 1983).
3. B. Mandlebrot, Pure Appl. Geophys. 131, 5 (1989).
4. Y. Oono, Prog. Theor. Phys. Suppl. 99, 165 (1989).
5. P. Collet and F. Koukiou, Commun. Math. Phys. 47, 329 (1992).
6. P. Iroshnikov, Astron. Zh. 40, 742 1963 [Sov. Astron. 7, 566 (1963)]
7. R. H. Kraichnan, Phys. Fluids 8, 1385 (1965).
8. H. Politano and A. Pouquet, Phys. Rev. E 52, 636 (1995).
9. A notable exception is J. Thomas, Phys. Fluids 11, 1245 (1968). However, this system is off by a (crucial) minus sign.
10. A. M. Polyakov, Phys. Rev. E 52, 6183 (1995).
11. V. Guararie and A. Migdal, Phys. Rev. E 54, 4908 (1996).
12. J. P. Bouchard, M. Mezard, and G. Parisi, Phys. Rev. E 52, 3656 (1995).
13. E. Weinan, K. Khanin, A. Mazel, and Y. Sinai, Phys. Rev. Lett. 78, 1904 (1997).
14. P. G. Saffman, in Topics in Nonlinear Physics, edited by L. Sirovich (Springer, Berlin, 1968), pp. 541–556.
15. E. Medina, T. Hwa, M. Kardar, and Y. Zhang, Phys. Rev. A 39, 3053 (1989).
16. S. K. Ma, Modern Theory of Critical Phenomena (Benjamin, Reading, 1976).
17. P. H. Diamond and T. S. Hahm, Phys. Plasmas 2, 3640 (1995).
18. J. Friedberg, Ideal Magnetohydrodynamics (Plenum, New York, 1987).
19. D. Forster, D. R. Nelson, and M. J. Stephen, Phys. Rev. A 16, 732 (1977).
20. S. Kida, S. Yanase, and J. Mizushima, Phys. Fluids A 3, 457 (1991).
21. J. Fleischer and P. H. Diamond (unpublished).