State selection in the noisy stabilized Kuramoto-Sivashinsky equation

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

Volumn 81, Issue 6, 2010, Pages

  Obeid, D ^a   Kosterlitz, J M ^a,b   Sandstede, B ^a  

^a BROWN UNIVERSITY   (United States)

^b Korea Institute for Advanced Study   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

DETERMINISTIC EQUATIONS; KURAMOTO-SIVASHINSKY EQUATIONS; OUT-OF-EQUILIBRIUM SYSTEMS; PHASE DIFFUSIONS; STATE SELECTION; STOCHASTIC NOISE;

SPUTTERING;

EID: 77953424406     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.066205     Document Type: Article

References (56)

1. J. S. Langer, Phys. Rev. A 36, 3350 (1987). 10.1103/PhysRevA.36.3350
2. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993). 10.1103/RevModPhys.65.851
3. M. C. Cross, G. Tesauro, and H. S. Greenside, Physica D 23, 12 (1986). 10.1016/0167-2789(86)90105-3
4. T. Dombre and V. Hakim, Phys. Rev. A 36, 2811 (1987). 10.1103/PhysRevA.36.2811
5. M. Ben Amar and B. Moussallam, Phys. Rev. Lett. 60, 317 (1988). 10.1103/PhysRevLett.60.317
6. A. Karma, Phys. Rev. Lett. 57, 858 (1986). 10.1103/PhysRevLett.57.858
7. M. Kerszberg, Phys. Rev. B 27, 3909 (1983) 10.1103/PhysRevB.27.3909
8. M. Kerszberg, Phys. Rev. B 27, 6796 (1983). 10.1103/PhysRevB.27.6796
9. D. A. Kurtze, Phys. Rev. Lett. 77, 63 (1996). 10.1103/PhysRevLett.77.63
10. R. N. C. Filho, J. M. Kosterlitz, and E. Granato, Physica A 354, 333 (2005). 10.1016/j.physa.2005.03.010
11. C. Misbah and A. Valance, Phys. Rev. E 49, 166 (1994). 10.1103/PhysRevE.49.166
12. Y. Pomeau and P. Manneville, Phys. Lett. 75A, 296 (1980). 10.1016/0375-9601(80)90568-X
13. K. R. Elder, J. Viñals, and M. Grant, Phys. Rev. Lett. 68, 3024 (1992). 10.1103/PhysRevLett.68.3024
14. J. Swift and P. C. Hohenberg, Phys. Rev. A 15, 319 (1977). 10.1103/PhysRevA.15.319
15. R. J. Deissler, J. Stat. Phys. 54, 1459 (1989). 10.1007/BF01044729
16. R. J. Deissler, A. Oron, and Y. C. Lee, Phys. Rev. A 43, 4558 (1991). 10.1103/PhysRevA.43.4558
17. Z. Olami, B. Galanti, O. Kupervasser, and I. Procaccia, Phys. Rev. E 55, 2649 (1997). 10.1103/PhysRevE.55.2649
18. J. L. Mozos, A. M. Lacasta, L. Ramírez-Piscina, and A. Hernández-Machado, Phys. Rev. E 53, 1459 (1996). 10.1103/PhysRevE.53.1459
19. J. García-Ojalvo and J. Sancho, Noise in Spatially Extended Systems (Springer-Verlag, New York, 1999).
20. J. García-Ojalvo, A. Hernández-Machado, and J. M. Sancho, Phys. Rev. Lett. 71, 1542 (1993). 10.1103/PhysRevLett.71.1542
21. E. Hernández-Garcia, M. San Miguel, R. Toral, and J. Viñals, Physica D 61, 159 (1992). 10.1016/0167-2789(92)90159-K
22. E. Hernández-García, J. Viñals, R. Toral, and M. San Miguel, Phys. Rev. Lett. 70, 3576 (1993). 10.1103/PhysRevLett.70.3576
23. F. Sagués, J. M. Sancho, and J. García-Ojalvo, Rev. Mod. Phys. 79, 829 (2007). 10.1103/RevModPhys.79.829
24. C. W. Meyer, G. Ahlers, and D. S. Cannell, Phys. Rev. Lett. 59, 1577 (1987). 10.1103/PhysRevLett.59.1577
25. G. Ahlers, C. W. Meyer, and D. S. Cannell, J. Stat. Phys. 54, 1121 (1989). 10.1007/BF01044706
26. C. W. Meyer, G. Ahlers, and D. S. Cannell, Phys. Rev. A 44, 2514 (1991). 10.1103/PhysRevA.44.2514
27. A. Tsameret and V. Steinberg, Phys. Rev. Lett. 67, 3392 (1991). 10.1103/PhysRevLett.67.3392
28. H. R. Brand, S. Kai, and S. S. Wakabayashi, Phys. Rev. Lett. 54, 555 (1985). 10.1103/PhysRevLett.54.555
29. T. Kawakubo, A. Yanagita, and S. Kabashima, J. Phys. Soc. Jpn. 50, 1451 (1981). 10.1143/JPSJ.50.1451
30. U. Behn, A. Lange, and T. John, Phys. Rev. E 58, 2047 (1998). 10.1103/PhysRevE.58.2047
31. T. John, R. Stannarius, and U. Behn, Phys. Rev. Lett. 83, 749 (1999). 10.1103/PhysRevLett.83.749
32. J.-H. Huh, A. Kuribayashi, and S. Kai, Phys. Rev. E 80, 066304 (2009). 10.1103/PhysRevE.80.066304
33. A. Dougherty, P. D. Kaplan, and J. P. Gollub, Phys. Rev. Lett. 58, 1652 (1987). 10.1103/PhysRevLett.58.1652
34. A. Dougherty and J. P. Gollub, Phys. Rev. A 38, 3043 (1988). 10.1103/PhysRevA.38.3043
35. L. M. Williams, M. Muschol, X. Qian, W. Losert, and H. Z. Cummins, Phys. Rev. E 48, 489 (1993). 10.1103/PhysRevE.48.489
36. W.-S. Dai and M. J. Shelley, Phys. Fluids A 5, 2131 (1993). 10.1063/1.858553
37. T. Honda, H. Honjo, and H. Katsuragi, J. Phys. Soc. Jpn. 75, 034005 (2006). 10.1143/JPSJ.75.034005
38. A. Hutt, A. Longtin, and L. Schimansky-Geier, Phys. Rev. Lett. 98, 230601 (2007). 10.1103/PhysRevLett.98.230601
39. A. Hutt, EPL 84, 34003 (2008). 10.1209/0295-5075/84/34003
40. W. Horsthemke and R. Lefever, Noise-induced Transitions (Springer, Berlin, 1984).
41. J. García-Ojalvo and J. M. Sancho, Noise in Spatially Extended Systems (Springer, New York, 1999).
42. O. Carrillo, M. Ibañes, J. García-Ojalvo, J. Casademunt, and J. M. Sancho, Phys. Rev. E 67, 046110 (2003). 10.1103/PhysRevE.67.046110
43. W. Eckhaus, Studies in Non-Linear Stability Theory (Springer, Berlin, 1965).
44. I. Bena, C. Misbah, and A. Valance, Phys. Rev. B 47, 7408 (1993). 10.1103/PhysRevB.47.7408
45. P. Brunet, Phys. Rev. E 76, 017204 (2007). 10.1103/PhysRevE.76.017204
46. J. D. M. Rademacher, B. Sandstede, and A. Scheel, Physica D 229, 166 (2007). 10.1016/j.physd.2007.03.016
47. E. Doedel, R. C. Paffenroth, A. R. Champneys, T. F. Fairgrieve, Y. A. Kuznetsov, B. E. Oldeman, B. Sandstede, and X. Wang, Concordia University, Technical Report, 2002 (unpublished).
48. J. Lee and J. M. Kosterlitz, Phys. Rev. Lett. 65, 137 (1990). 10.1103/PhysRevLett.65.137
49. A. Ghazali and C. Misbah, Phys. Rev. A 46, 5026 (1992). 10.1103/PhysRevA.46.5026
50. P. Politi and C. Misbah, Phys. Rev. Lett. 92, 090601 (2004). 10.1103/PhysRevLett.92.090601
51. J. M. Pastor and M. A. Rubio, Physica D 96, 384 (1996). 10.1016/0167-2789(96)00036-X
52. J. M. Pastor and M. A. Rubio, Phys. Rev. Lett. 76, 1848 (1996). 10.1103/PhysRevLett.76.1848
53. J. Buceta, J. Pastor, M. A. Rubio, and F. J. de la Rubia, Phys. Lett. A 235, 464 (1997). 10.1016/S0375-9601(97)00633-6
54. E. Chason, T. M. Mayer, B. K. Kellerman, D. T. McIlroy, and A. J. Howard, Phys. Rev. Lett. 72, 3040 (1994). 10.1103/PhysRevLett.72.3040
55. R. Cuerno, H. A. Makse, S. Tomassone, S. T. Harrington, and H. E. Stanley, Phys. Rev. Lett. 75, 4464 (1995). 10.1103/PhysRevLett.75.4464
56. M. Namiki, Stochastic Quantization (Springer-Verlag, Berlin, Heidelberg, 1992).