Anomalous thermalization of nonlinear wave systems

Physical Review Letters

Volumn 104, Issue 5, 2010, Pages

  Suret, Pierre ^a   Randoux, Stéphane ^a   Jauslin, Hans R ^b   Picozzi, Antonio ^b  

^a UNIVERSITÉ DES SCIENCES ET TECHNOLOGIES DE LILLE   (France)

^b UNIVERSITÉ DE BOURGOGNE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

HAMILTONIANS; OPTICAL SYSTEMS; QUANTUM OPTICS;

EQUILIBRIUM DISTRIBUTIONS; EQUILIBRIUM STATE; FREQUENCY SPACES; KINETIC APPROACH; NONLINEAR WAVE SYSTEM; QUANTITATIVE AGREEMENT; THERMALIZATION; THERMODYNAMIC EQUILIBRIA;

NONLINEAR OPTICS;

EID: 76249128678     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.104.054101     Document Type: Article

References (31)

1. The Fermi-Pasta-Ulam Problem: A Status Report, edited by, G. Gallavotti. Lecture Notes in Physics (Springer, New York, 2007).
2. P. Villain and M. Lewenstein, Phys. Rev. A PLRAAN 1050-2947 62, 043601 (2000); 10.1103/PhysRevA.62.043601
3. P. Villain, P. Öhberg, and M. Lewenstein, Phys. Rev. A PLRAAN 1050-2947 63, 033607 (2001). 10.1103/PhysRevA.63.033607
4. E.g., M. Davis, S. Morgan, and K. Burnett, Phys. Rev. Lett. 87, 160402 (2001); PRLTAO 0031-9007 10.1103/PhysRevLett.87.160402
5. M. Davis S. Morgan K. Burnett Phys. Rev. A 66, 053618 (2002). PLRAAN 1050-2947 10.1103/PhysRevA.66.053618
6. E. Infeld, Phys. Rev. Lett. 47, 717 (1981); PRLTAO 0031-9007 10.1103/PhysRevLett.47.717
7. G. Cappellini and S. Trillo, J. Opt. Soc. Am. B 8, 824 (1991). JOBPDE 0740-3224 10.1364/JOSAB.8.000824
8. N. Akhmediev and V. Korneev, Theor. Math. Phys. 69, 1089 (1986). TMPHAH 0040-5779 10.1007/BF01037866
9. B.M. Lake, J. Fluid Mech. JFLSA7 0022-1120 83, 49 (1977). 10.1017/S0022112077001037
10. M. Wu and C.E. Patton, Phys. Rev. Lett. 98, 047202 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.047202
11. G.V. VanSimaeys, Ph. Emplit, and M. Haelterman, Phys. Rev. Lett. 87, 033902 (2001); PRLTAO 0031-9007 10.1103/PhysRevLett.87.033902
12. J. Beeckman, Opt. Express OPEXFF 1094-4087 15, 11185 (2007). 10.1364/OE.15.011185
13. R.Z. Sagdeev, D.A. Usikov, and G.M. Zaslavsky, Nonlinear Physics (Harwood Publ., Chur, 1988).
14. V.E. Zakharov, V.S. L'vov, and G. Falkovich, Kolmogorov Spectra of Turbulence I (Springer, Berlin, 1992);
15. S. Dyachenko, Physica (Amsterdam) 57D, 96 (1992); PDNPDT 0167-2789 10.1016/0167-2789(92)90090-A
16. V. Zakharov, F. Dias, and A. Pushkarev, Phys. Rep. 398, 1 (2004). PRPLCM 0370-1573 10.1016/j.physrep.2004.04.002
17. C. Connaughton, Phys. Rev. Lett. 95, 263901 (2005); PRLTAO 0031-9007 10.1103/PhysRevLett.95.263901
18. S. Pitois, Phys. Rev. Lett. 97, 033902 (2006); PRLTAO 0031-9007 10.1103/PhysRevLett.97.033902
19. G. Düring, A. Picozzi, and S. Rica, Physica (Amsterdam) 238D, 1524 (2009). PDNPDT 0167-2789 10.1016/j.physd.2009.04.014
20. Y.S. Kivshar and G.P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic Press, New York, 2003).
21. B.K. Som, Phys. Lett. A 72, 111 (1979); PYLAAG 0375-9601 10.1016/0375-9601(79)90663-7
22. C.J. McKinstrie and D.A. Russell, Phys. Rev. Lett. 61, 2929 (1988). PRLTAO 0031-9007 10.1103/PhysRevLett.61.2929
23. J.L. Hammack, J. Fluid Mech. 532, 1 (2005); JFLSA7 0022-1120 10.1017/S0022112005003733
24. M. Onorato A.R. Osborne, and M. Serio, Phys. Rev. Lett. 96, 014503 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.014503
25. L. Pitaevskii and S. Stringari, Bose-Einstein Condensation (Oxford Science Publications, Oxford, 2003).
26. S. Manakov, JETP 65, 505 (1973); JTPHES 1063-7761
27. V.E. Zakharov and E. Schulman, Physica (Amsterdam) 4D, 270 (1982); PDNPDT 0167-2789 10.1016/0167-2789(82)90068-9
28. V.E. Zakharov E. Schulman Physica (Amsterdam) 29D, 283 (1988). PDNPDT 0167-2789 10.1016/0167-2789(88)90033-4
29. A.M. Balk and E.V. Ferapontov, Transl.-Am. Math. Soc. 0065-9290, Ser. 2, 182 (1998)
30. in Nonlinear Waves and Weak Turbulence, edited by, V.E. Zakharov, (Am. Math. Soc., Providence, RI, 1998).
31. B. Barviau, S. Randoux, and P. Suret, Opt. Lett. 31, 1696 (2006). OPLEDP 0146-9592 10.1364/OL.31.001696