Fronts, domain growth, and dynamical scaling in a [Formula Presented] nonpotential system

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

Volumn 58, Issue 3, 1998, Pages 3125-3134

  Gallego, R ^a   San Miguel, M ^a   Toral, R ^a  

^a UNIVERSITAT DE LES ILLES BALEARS   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001026646     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.58.3125     Document Type: Article

References (38)

1. J. D. Gunton, M. San Miguel, and P. S. Sahni, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic, London, 1983), Vol. 8.
2. A. Bray, Adv. Phys. 43, 357 (1994).ADPHAH
3. P. C. Hohenberg and B. I. Halperin, Rev. Mod. Phys. 49, 435 (1977).RMPHAT
4. R. Montagne, E. Hernández-García, and M. San Miguel, Physica D 96, 47 (1996).PDNPDT
5. M. San Miguel and R. Toral, in Instabilities and Nonequilibrium Structures VI, edited by E. Tirapegui and W. Zeller (Kluwer Academic, Dordrecht, 1997), and references therein.
6. M. C. Cross and D. I. Meiron, Phys. Rev. Lett. 75, 2152 (1995).PRLTAO
7. C. Josserand and S. Rica, Phys. Rev. Lett. 78, 1215 (1997).PRLTAO
8. L. Kramer, Z. Phys. B 41, 357 (1981)
9. Z. Phys. BL. Kramer45, 167 (1981).
10. P. Coullet, J. Lega, B. Houchmanzadeh, and J. Lajzerowicz, Phys. Rev. Lett. 65, 1352 (1990).PRLTAO
11. P. Coullet, C. Elphick, and D. Repaux, Phys. Rev. Lett. 58, 431 (1987).PRLTAO
12. S. Fauve and O. Thual, Phys. Rev. Lett. 64, 282 (1990).PRLTAO
13. E. Meron, Phys. Rep. 218, 1 (1992).PRPLCM
14. D. J. Amit, in Field Theory, The Renormalization Group and Critical Phenomena (World Scientific, Singapore, 1984).
15. Y. Hu, R. E. Ecke, and G. Ahlers, Phys. Rev. Lett. 74, 5040 (1995)
16. Y. HuR. E. EckeG. AhlersPhys. Rev. E 55, 6928 (1997).
17. G. Küppers and D. Lortz, J. Fluid Mech. 35, 609 (1969).JFLSA7
18. F. H. Busse and K. E. Heikes, Science 208, 173 (1980).SCIEAS
19. Y. Tu and M. C. Cross, Phys. Rev. Lett. 69, 2515 (1992).PRLTAO
20. M. C. Cross, D. Meiron, and Y. Tu, Chaos 4, 607 (1994).CHAOEH
21. A. J. Bray, B. Derrida, and C. Godreche, Europhys. Lett. 27, 175 (1994).EULEEJ
22. A. D. Rutenberg and A. D. Bray, Phys. Rev. E 50, 1900 (1994).PLEEE8
23. T. Nagai and K. Kawasaki, Physica A 134, 483 (1986).PHYADX
24. F. de Pasquale, P. Tartaglia, and P. Tombesi, Physica A 31, 2447 (1985).PHYADX
25. K. Kawasaki and T. Ohta, Physica A 116, 573 (1982).PHYADX
26. L. Frachebourg, P. L. Krapivsky, and E. Ben-Naim, Phys. Rev. E 54, 6186 (1996).PLEEE8
27. R. M. May and W. J. Leonard, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 29, 243 (1975).SMJMAP
28. R. Toral and M. San Miguel (unpublished).
29. A. C. Newell and J. A. Whitehead, J. Fluid Mech. 38, 279 (1969).JFLSA7
30. L. A. Segel, J. Fluid Mech. 38, 279 (1969).JFLSA7
31. G. H. Gunaratne, Q. Ouyang, and H. L. Swinney, Phys. Rev. E 50, 2802 (1994).PLEEE8
32. S.-K. Chan, J. Chem. Phys. 67, 5755 (1977).JCPSA6
33. B. A. Malomed, A. A. Nepomnyashchy, and M. I. Tribelsky, Phys. Rev. A 42, 7244 (1990).PLRAAN
34. Y. Elskens and H. L. Frisch, Phys. Rev. A 31, 3812 (1985).PLRAAN
35. S. N. Majumdar and D. A. Huse, Phys. Rev. E 52, 270 (1995).PLEEE8
36. A. J. Bray, J. Phys. A 22, L67 (1989).JPHAC5
37. We have checked on our numerical simulations, that on average, half the runs lead to a state corresponding to a group of kinks moving to the right and half of them to kinks moving to the left.
38. R. Gallego, M. San Miguel, and R. Toral (unpublished).