Self-organization in nonlinear wave turbulence

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

Volumn 61, Issue 2, 2000, Pages 1527-1539

  Jordan, Richard ^a   Josserand, Christophe ^b,c  

^a Worcester Polytechnic Institute   (United States)

^b UNIVERSITY OF CHICAGO   (United States)

^c INSTITUT JEAN LE ROND D ALEMBERT   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; NONLINEAR EQUATIONS; NUMERICAL MODELS; SOLITONS;

INITIAL CONDITIONS; QUANTITATIVE AGREEMENT; RANDOM FLUCTUATION; SELF ORGANIZATIONS; SOLITON STRUCTURES; STATISTICAL EQUILIBRIUM; STATISTICAL EQUILIBRIUM STATE; STATISTICAL THEORY;

HAMILTONIANS;

EID: 0000612437     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.1527     Document Type: Article

References (36)

1. O. Cardoso, D. Marteau and P. Tabeling, Phys. Rev. E 49, 454 (1994)
2. J. Paret and P. Tabeling, Phys. Fluids 10, 3126 (1998).
3. M. Rivera, P. Vorobieff, and R. Ecke, Phys. Rev. Lett. 81, 1417 (1998).
4. J. C. McWilliams, J. Fluid Mech. 146, 21 (1984)
5. D. Montgomery, W. Matthaeus, W. Stribling, D. Martinez, and S. Oughton, Phys. Fluids 4, 3 (1992).
6. A. Hasegawa, Adv. Phys. 34, 1 (1985).
7. M. Ablowitz and H. Segur, J. Fluid Mech. 92, 691 (1979).
8. H. L. Pesceli, IEEE Trans. Plasma Sci. 13, 53 (1985).
9. A. Hasegawa and Y. Kodama, Solitons in Optical Communications (Oxford University Press, New York, 1995).
10. L. P. Pitaevskii, Zh. Eksp. Teor. Fiz. 40, 646 (1991) [Sov. Phys. JETP 13, 451 (1961)]
11. E. P. Gross, J. Math. Phys. 4, 195 (1963).
12. V. E. Zakharov, and A. B. Shabat, Zh. Eksp. Teor. Fiz. 61, 118 (1971) [Sov. Phys. JETP 34, 62 (1972)]
13. Y. Li and D. McLaughlin, Commun. Math. Phys. 162, 175 (1994).
14. V. E. Zakharov, A. N. Pushkarev, V. F. Shvets, and V. V. Yan’kov, Pis’ma Zh. Eksp. Teor. Fiz. 48, 79 (1988) [JETP Lett. 48, 83 (1988)]
15. S. Dyachenko, V. E. Zakharov, A. N. Pushkarev, V. F. Shvets, and V. V. Yan’kov, Zh. Eksp. Teor. Fiz. 96, 2026 (1989) [Sov. Phys. JETP 69, 1144 (1989)].
16. J. Bourgain, Commun. Math. Phys. 166, 1 (1994).
17. J. J. Rasmussen and K. Rypdal, Phys. Scr. 33, 481 (1986).
18. C. E. Max, Phys. Fluids 19, 74 (1976)
19. D. Mihalache, R. G. Nazmitdinov, and V. K. Fedyanin, Sov. J. Part. Nucl. 20, 86 (1989).
20. Y. Pomeau, Nonlinearity 5, 707 (1992)
21. Y. Pomeau, Physica D 61, 227 (1992).
22. R. Jordan, B. Turkington, and C. L. Zirbel, Physica D 137, 353 (2000).
23. S. B. Kuksin, Geometric and Functional Analysis 7, 338 (1997)
24. J. Bourgain, Int. Math. Res. Notices 6, 277 (1996)
25. G. Staffilani, Duke Math. J. 86, 109 (1997).
26. P. E. Zhidkov, Sov. Math. Dokl. 43, 431 (1991).
27. B. Bidegary, Physica D 82, 340 (1995).
28. R. Balescu, Equilibrium and Nonequilibrium Statistical Mechanics (Wiley, New York, 1975).
29. E. T. Jaynes, Phys. Rev. 106, 620 (1957).
30. E. T. Lebowitz, H. A. Rose, and E. R. Speer, J. Stat. Phys. 50, 657 (1988).
31. J. Miller, P. B. Weichman, and M. C. Cross, Phys. Rev. A 45, 2328 (1992)
32. R. Jordan, and B. Turkington, J. Stat. Phys. 87, 661 (1997)
33. R. Jordan, Z. Yoshida, and N. Ito, Physica D 114, 251 (1998).
34. C. Josserand and R. Jordan (unpublished).
35. C. Josserand and S. Rica, Phys. Rev. Lett. 78, 1215 (1997).
36. R. Kraichnan, Phys. Fluids 10, 1417 (1967).