Early-time critical dynamics of lattices of coupled chaotic maps

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

Volumn 57, Issue 2, 1998, Pages 1591-1603

  Marcq, Philippe ^a   Chaté, Hugues ^b  

^a KYOTO UNIVERSITY   (Japan)

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

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0007231262     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.1591     Document Type: Article

References (31)

1. M.C. Cross and P.C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993), and references therein
2. B.I. Shraiman and P.C. Hohenberg, Physica D 37, 109 (1989); PDNPDT
3. M.S. Bourzutschky and M.C. Cross, Chaos 2, 173 (1992)
4. Y. He, G. Grinstein, and C. Jayaprakash, Phys. Rev. Lett. 55, 2527 (1985); PRLTAO
5. Y. He, T. Bohr, G. Grinstein, and C. Jayaprakash, Phys. Rev. Lett. 58, 2155 (1987);
6. K. Bassler and B. Schmittmann, Phys. Rev. Lett. 73, 3343 (1994).
7. B.I. Halperin and P.C. Hohenberg, Rev. Mod. Phys. 49, 435 (1977)
8. J. Miller and D.A. Huse, Phys. Rev. E 48, 2528 (1993).
9. C.S. O’Hern, D.A. Egolf, and H.S. Greenside, Phys. Rev. E 53, 3374 (1996).
10. P. Marcq, Ph.D. thesis, Université Pierre et Marie Curie, Paris, 1996 (unpublished).
11. P. Marcq, H. Chaté, and P. Manneville, Phys. Rev. Lett. 77, 4003 (1996); PRLTAO
12. P. MarcqH. ChatéP. MannevillePhys. Rev. E 55, 2606 (1997).
13. H. Sakaguchi, Prog. Theor. Phys. 80, 7 (1992)
14. R.H. Swendsen and J.S. Wang, Phys. Rev. Lett. 58, 86 (1987)
15. N. Ito, Physica A 196, 591 (1993)
16. J. Adler, in Annual Reviews of Computational Physics, Vol. IV, edited by D. Stauffer (World Scientific, Singapore, 1996).
17. H.K. Janssen, B. Schaub, and B. Schmittmann, Z. Phys. B 73, 539 (1989)
18. H.K. Janssen, in From Phase Transitions to Chaos – Topics in Modern Statistical Physics, edited by G. Györgyi, I. Kondor, L. Sasvári, and T. Tél (World Scientific, Singapore, 1992).
19. H.W. Diehl and U. Ritschel, J. Stat. Phys. 73, 1 (1993); JSTPBS
20. U. Ritschel and H.W. Diehl, Nucl. Phys. B 464, 512 (1996)
21. Z.-B. Li, U. Ritschel, and B. Zheng, J. Phys. A 27, L837 (1994).
22. D.A. Huse, Phys. Rev. B 40, 304 (1989); PRBMDO
23. K. Humayun and A.J. Bray, J. Phys. A 24, 1915 (1991).
24. P. Grassberger, Physica A 214, 547 (1995)
25. K. Okano, L. Schülke, K. Yamagashi, and B. Zheng, Nucl. Phys. B 485, 727 (1997)
26. Z.-B. Li, L. Schülke, and B. Zheng, Phys. Rev. Lett. 74, 3396 (1995); PRLTAO
27. Z.-B. LiL. SchülkeB. ZhengPhys. Rev. E 53, 2940 (1996).
28. B. Damman and J. Reger, Europhys. Lett. 21, 157 (1993)
29. A. Linke, D.W. Heermann, P. Altevogt, and M. Siegert, Physica A 222, 205 (1996)
30. For a recent account, see, e.g., S. Cueille and C. Sire, e-print cond-mat/9707287, and references therein.
31. S.N. Majumdar, A.J. Bray, S. Cornell, and C. Sire, Phys. Rev. Lett. 77, 3704 (1996). PRLTAO