Thermodynamics of magnetohydrodynamic flows with axial symmetry

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 71, Issue 3, 2005, Pages

  Leprovost, N ^a   Dubrulle, B ^a   Chavanis, P H ^b  

^a SERVICE DE PHYSIQUE DE L ETAT CONDENSÉ   (France)

^b UNIVERSITÉ PAUL SABATIER   (France)

Author keywords

[No Author keywords available]

Indexed keywords

GAUSSIAN SHAPE; HYDRODYNAMICAL TURBULENCE; MAGNETOHYDRODYNAMIC FLOWS; NUMERICAL ALGORITHMS;

ALGORITHMS; DC GENERATORS; ENERGY DISSIPATION; FLOW OF FLUIDS; NUMERICAL ANALYSIS; OPTIMIZATION; STATISTICAL MECHANICS; THERMODYNAMICS; TURBULENCE;

MAGNETOHYDRODYNAMICS;

EID: 41349113115     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.036311     Document Type: Article

References (39)

1. A. Gailitis et al., Phys. Rev. Lett. 86, 3024 (2001).
2. R. Stieglitz and U. Müller, Phys. Fluids 13, 561 (2001).
3. F. Pétrélis and S. Fauve, Eur. Phys. J. B 22, 273 (2001).
4. V. Archontis, Ph.D. thesis, University of Copenhagen, Copenhagen, 2000.
5. L. Onsager, Nuovo Cimento, Suppl. 6, 279 (1949).
6. D. Montgomery and G. Joyce, Phys. Fluids 17, 1139 (1974).
7. R. Robert, C. R. Acad. Sci., Ser. I: Math. 311, 575 (1990); R. Robert and J. Sommeria, J. Fluid Mech. 229, 291 (1991).
8. R. Robert, C. R. Acad. Sci., Ser. I: Math. 311, 575 (1990); R. Robert and J. Sommeria, J. Fluid Mech. 229, 291 (1991).
9. J. Miller, Phys. Rev. Lett. 65, 2137 (1990); J. Miller, P. B. Weichman, and M. C. Cross, Phys. Rev. A 45, 2328 (1992).
10. J. Miller, Phys. Rev. Lett. 65, 2137 (1990); J. Miller, P. B. Weichman, and M. C. Cross, Phys. Rev. A 45, 2328 (1992).
11. E. T. Jaynes, Phys. Rev. 106, 620 (1957).
12. P.-H. Chavanis and J. Sommeria, J. Fluid Mech. 314, 267 (1996).
13. D. Lynden-Bell, Mon. Not. R. Astron. Soc. 136, 101 (1967).
14. P.-H. Chavanis, in Dynamics and Thermodynamics of Systems with Long Range Interactions, Lecture Notes in Physics Vol. 602, edited by T. Dauxois, S. Ruffo, E. Arimondo, and M. Wilkens (Springer, New York, 2002).
15. R. Salmon, Annu. Rev. Fluid Mech. 20, 225 (1988).
16. R. Ellis, K. Haven, and B. Turkington, Nonlinearity 15, 239 (2002).
17. P.-H. Chavanis, Phys. Rev. E 68, 036108 (2003).
18. P.-H. Chavanis, Physica D 200, 257 (2005).
19. R. Jordan and B. Turkington, J. Stat. Phys. 87, 661 (1997).
20. L. Woltjer, Astrophys. J. 130, 400 (1959).
21. S. Chandrasekhar, Proc. Natl. Acad. Sci. U.S.A. 44, 842 (1958).
22. D. Biskamp, Nonlinear Magnetohydrodynamics (Cambridge University Press, Cambridge, U.K., 1993).
23. J. B. Taylor, Phys. Rev. Lett. 33, 1139 (1974).
24. D. D. Holm, J. E. Mardsen, T. Ratiu, and A. Weinstein, Phys. Rep. 123, 1 (1985).
25. W. H. Matthaeus and D. Montgomery, in Statistical Physics and Chaos in Fusion Plasmas, edited by W. H. Norton and L. E. Reichl (Wiley, New York, 1984).
26. P. Bouchet and J. Barré, e-print cond-mat/0303307.
27. C. E. Shanon and W. Weaver, The Mathematical Theory of Communication (University of Illinois Press, Urbana, 1949).
28. R. M. Kinney and J. C. Me Williams, Phys. Rev. E 57, 7111 (1998).
29. J. L. Lumley, J. Stat. Phys. (to be published).
30. N. Pizzolato et al., Astron. Astrophys. 397, 147 (2003).
31. A. A. Pevtsov et al., Astrophys. J. 598, 1387 (2003).
32. R. Robert and J. Sommeria, Phys. Rev. Lett. 69, 2776 (1992).
33. M. Steenbeck, F. Krause, and K.-H. Rädler, Z. Naturforsch. A 21, 369 (1966).
34. A. Pouquet, U. Frisch, and J. Leorat, J. Fluid Mech. 77, 321 (1976).
35. U. Frisch, A. Pouquet, J. Leorat, and A. Mazure, J. Fluid Mech. 68, 769 (1975).
36. T. G. Cowling, Mon. Not. R. Astron. Soc. 140, 39 (1933).
37. S. Tremaine, M. Hénon, and D. Lynden-Bell, Mon. Not. R. Astron. Soc. 219, 285 (1986).
38. P. H. Chavanis, e-print cond-mat/0409511.
39. R. Dewar, J. Phys. A 36, 631 (2003).