A theory for critically divergent fluctuations of dynamical events at non-ergodic transitions

EPL

Volumn 77, Issue 5, 2007, Pages

  Iwata, M ^a   Sasa, S ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 66749153203     PISSN: 02955075     EISSN: 12864854     Source Type: Journal    
DOI: 10.1209/0295-5075/77/50008     Document Type: Article

References (18)

1. Götze W. 1991 Liquids, Freezing and Glass Transition ed Levesque D. et al (New York: Elsevier)
2. See Berthier L. et al 2005 Science 310 1797, as the latest experimental report. See also introduction in[4] for a review of studies
3. Dauchot O., Marty G. and Biroli G. 2005 Phys. Rev. Lett. 95 265701
4. Donati C. et al 2001 J. Non-Cryst. Solids 307 215
5. Laević N. et al 2003 J. Chem. Phys. 119 7372
6. Biroli G. and Bouchaud J.-P. 2004 Europhys. Lett. 67 21
7. Biroli G., Bouchaud J.-P., Miyazaki K. and Reichman D. R. 2006 Phys. Rev. Lett. 97 195701
8. Merolle M., Garraham J. P. and Chandler D. 2005 Proc. Natl. Acad. Sci. U.S.A. 102 10837
9. Goldenfeld N. 1992 Lectures on Phase Transitions and the Renormalization Group (New York: Addison-Wesley)
10. Iwata M. and Sasa S. 2006 J. Stat. Mech. L10003
11. Guckenheimer J. and Holmes P. 1983 Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields (New York: Springer-Verlag)
12. Onsager L. and Machlup S. 1953 Phys. Rev. 91 1505
13. Hochberg D., Molina-Paris C., Perez-Mercader J. and Visser M. 1999 Phys. Rev. E 60 6343
14. Rajaraman R. 1987 Solitons and Instantons (Amsterdam: North-Holland)
15. Kawasaki K. and Ohta T. 1982 Physica A 116 573
16. Ei S. and Ohta T. 1994 Phys. Rev. E 50 4672
17. Whitelam S., Berthier L. and Garraham J. P. 2004 Phys. Rev. Lett. 92 185705. Note, however, that different values (ζ≃2.0, γ≃1.7 and ν≃0.8) are also reported in ref.[4]
18. Berthier L. et al 2006 Preprint cond-mat/0609656