Landau-like theory of glassy dynamics

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

Volumn 70, Issue 6 1, 2004, Pages

  Majumdar, Satya N ^a,b   Das, Dibyendu ^c   Kondev, Jané ^d   Chakraborty, Bulbul ^d  

^a UNIVERSITÉ PARIS SUD   (France)

^b Lab de Physique Théorique   (France)

^c INDIAN INSTITUTE OF TECHNOLOGY BOMBAY   (India)

^d BRANDEIS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ENTROPY; FREE ENERGY; FUNCTIONS; GLASS TRANSITION; PHASE TRANSITIONS; RELAXATION PROCESSES; TOPOLOGY;

GLASSY DYNAMICS; LANDAU FREE ENERGY; LANDAU-LIKE THEORY; VOGEL-FULCHER-TAMMANN (VFT) DEPENDENCE;

GLASS;

EID: 41349109509     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.060501     Document Type: Article

References (19)

1. M. D. Ediger, C. A. Angell, and S. R. Nagel, J. Phys. Chem. 100, 13200 (1996).
2. N. Goldenfeld, Lectures on Phase Transitions and the Renormalization Group (Addison-Wesley, New York, 1992).
3. J. Schonbrun and K. A. Dill, Proc. Natl. Acad. Sci. U.S.A. 100, 12678 (2003).
4. We will show below that by taking limits appropriately, the entropy does not become negative.
5. A. R. Kansal, S. Torquato, and F. H. Stillinger, Phys. Rev. E 66, 041109 (2002).
6. The p=0 point is included in the continuum equation; Satya N. Majumdar (unpublished).
7. D. S. Fisher, Phys. Rev. Lett. 56, 416 (1986).
8. J. P. Sethna, J. D. Shore, and M. Huang, Phys. Rev. B 47, 14661 (1993).
9. D. Das, J. Kondev, and B. Chakraborty, Europhys. Lett. 61, 506 (2003).
10. J. Kondev, J. deGier, and B. Nienhuis, J. Phys. A 29, 6489 (1996).
11. S. Teitel, Phys. Rev. Lett. 60, 1154 (1988).
12. R. G. Palmer et al., Phys. Rev. Lett. 53, 958 (1984).
13. C. Monthus and J.-P. Bouchaud, J. Phys. A 29, 3847 (1996).
14. R. A. Denny, D. R. Reichman, and J. P. Bouchaud, Phys. Rev. Lett. 90, 025503 (2003).
15. B. Doliwa and A. Heuer, Phys. Rev. E 67, 030501 (2003).
16. F. Ritort and P. Sollich, Adv. Phys. 52, 219 (2003).
17. J. P. Garrahan and D. Chandler, Proc. Natl. Acad. Sci. U.S.A. 100, 9710 (2003).
18. J. P. Garrahan and D. Chandler, Phys. Rev. Lett. 89, 035704 (2002).
19. C. Toninelli, G. Biroli, and D. S. Fisher, Phys. Rev. Lett. 92, 185504 (2004).