Universal critical behavior of noisy coupled oscillators

Physical Review Letters

Volumn 93, Issue 17, 2004, Pages

  Risler, Thomas ^a,b   Prost, Jacques ^b,c   Jülicher, Frank ^a  

^a MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^b INSTITUT CURIE   (France)

^c Chim Industrellers Ville de Paris   (France)

Author keywords

[No Author keywords available]

Indexed keywords

AMPLITUDE MODULATION; BIFURCATION (MATHEMATICS); CORRELATION METHODS; FINITE ELEMENT METHOD; FREQUENCIES; FUNCTIONS; PERTURBATION TECHNIQUES; PHASE TRANSITIONS; STATISTICAL METHODS; SUBSTRATES; SYSTEMS ANALYSIS; THERMODYNAMICS; VISCOSITY;

COUPLED OSCILLATORS; RENORMALIZATION GROUP (RG); THERMODYNAMIC LIMIT; VISCOUS EFFECTS;

OSCILLATORS (ELECTRONIC);

EID: 19744382546     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.93.175702     Document Type: Article

References (34)

1. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Oxford University Press, New York, 1996).
2. E. Brézin, J. C. Le Guillou, and J. Zinn-Justin, in Phase Transitions and Critical Phenomena, edited by C. Domb and M. S. Green (Academic Press, London, 1976), Vol. 6, pp. 125-247.
3. P. C. Hohenberg and B. I. Halperin, Rev. Mod. Phys. 49, 435 (1977).
4. M. Kardar, G. Parisi, and Y.-C. Zhang, Phys. Rev. Lett. 56, 889 (1986); E. Frey and U. C. Täuber, Phys. Rev. E 50, 1024 (1994); D. S. Fisher, Phys. Rep. 301, 113 (1998); H. Hinrichsen, Adv. Phys. 49, 815 (2000).
5. M. Kardar, G. Parisi, and Y.-C. Zhang, Phys. Rev. Lett. 56, 889 (1986); E. Frey and U. C. Täuber, Phys. Rev. E 50, 1024 (1994); D. S. Fisher, Phys. Rep. 301, 113 (1998); H. Hinrichsen, Adv. Phys. 49, 815 (2000).
6. M. Kardar, G. Parisi, and Y.-C. Zhang, Phys. Rev. Lett. 56, 889 (1986); E. Frey and U. C. Täuber, Phys. Rev. E 50, 1024 (1994); D. S. Fisher, Phys. Rep. 301, 113 (1998); H. Hinrichsen, Adv. Phys. 49, 815 (2000).
7. M. Kardar, G. Parisi, and Y.-C. Zhang, Phys. Rev. Lett. 56, 889 (1986); E. Frey and U. C. Täuber, Phys. Rev. E 50, 1024 (1994); D. S. Fisher, Phys. Rep. 301, 113 (1998); H. Hinrichsen, Adv. Phys. 49, 815 (2000).
8. B. Schmittmann and R. K. P. Zia, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic Press, London, 1995), Vol. 17.
9. U. C. Täuber, V. K. Akkineni, and J. E. Santos, Phys. Rev. Lett 88, 045702 (1) (2002).
10. S. H. Strogatz, Nonlinear Dynamics and Chaos (Perseus Books Publishing, Cambridge, MA, 2000).
11. P. Bergé, Y. Pomeau, and C. Vidal, Order within Chaos (Hermann, Paris, 1984).
12. S. Camalet, T. Duke, F. Jülicher, and J. Prost, Proc. Natl. Acad. Sci. U.S.A. 97, 3183 (2000).
13. M. E. Fisher, Rev. Mod. Phys. 70, 653 (1998).
14. A. C. Newell and J. A. Whitehead, in Instability of Continuous Systems, edited by H. H. E. Leipholz (Springer-Verlag, Berlin, 1971), p. 284; I. S. Aranson and L. Kramer, Rev. Mod. Phys. 74, 99 (2002).
15. A. C. Newell and J. A. Whitehead, in Instability of Continuous Systems, edited by H. H. E. Leipholz (Springer-Verlag, Berlin, 1971), p. 284; I. S. Aranson and L. Kramer, Rev. Mod. Phys. 74, 99 (2002).
16. R. Bausch, H.-K. Janssen, and H. Wagner, Z. Phys. B 24, 113 (1976); U. C. Täuber and F. Schwabl, Phys. Rev. B 46, 3337 (1992).
17. R. Bausch, H.-K. Janssen, and H. Wagner, Z. Phys. B 24, 113 (1976); U. C. Täuber and F. Schwabl, Phys. Rev. B 46, 3337 (1992).
18. F. Haake, M. Lewenstein, and M. Wilkens, Z. Phys. B 55, 211 (1984); G. Grinstein, C. Jayaprakash, and Y. He, Phys. Rev. Lett. 55, 2527 (1985).
19. F. Haake, M. Lewenstein, and M. Wilkens, Z. Phys. B 55, 211 (1984); G. Grinstein, C. Jayaprakash, and Y. He, Phys. Rev. Lett. 55, 2527 (1985).
20. K. E. Bassler and B. Schmittmann, Phys. Rev. Lett. 73, 3343 (1994).
21. U. C. Täuber and Z. Rácz, Phys. Rev. E 55, 4120 (1997); U. C. Täuber, J. E. Santos, and Z. Rácz, Eur. Phys. J. B 7, 309 (1999).
22. U. C. Täuber and Z. Rácz, Phys. Rev. E 55, 4120 (1997); U. C. Täuber, J. E. Santos, and Z. Rácz, Eur. Phys. J. B 7, 309 (1999).
23. K. G. Wilson and M. E. Fisher, Phys. Rev. Lett. 28, 240 (1972).
24. P. C. Martin, E. D. Siggia, and H. A. Rose, Phys. Rev. A 8, 423 (1973).
25. H.-K. Janssen, Z. Phys. B 23, 377 (1976); C. De Dominicis, J. Phys. (Paris), Colloq. 1, C-247 (1976).
26. H.-K. Janssen, Z. Phys. B 23, 377 (1976); C. De Dominicis, J. Phys. (Paris), Colloq. 1, C-247 (1976).
27. Note that c and D are not renormalized and that we choose units such that c = 1 in the following.
28. 0 + δθ.
29. J. Rudnick and D. R. Nelson, Phys. Rev. B 13, 2208 (1976).
30. T. Risler, J. Prost, and F. Jülicher (to be published).
31. P. Martin, A. J. Hudspeth, and F. Jülicher, Proc. Natl. Acad. Sci. U.S.A. 98, 14380 (2001).
32. J. M. Kosterlitz and D. J. Thouless, J. Phys. C 6, 1181 (1973).
33. V. M. Eguíluz, M. Ospeck, Y. Choe, A. J. Hudspeth, and M. O. Magnasco, Phys. Rev. Lett. 84, 5232 (2000).
34. M. A. Ruggero, N. C. Rich, A. Recio, S. S. Narayan, and L. Robles, J. Acoust. Soc. Am. 101, 2151 (1997).