Spatial structures and dynamics of kinetically constrained models of glasses

Physical Review Letters

Volumn 92, Issue 18, 2004, Pages

  Toninelli, Cristina ^a   Biroli, Giulio ^b   Fisher, Daniel S ^c  

^a UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

^b CEA SACLAY   (France)

^c HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CORRELATION METHODS; CRITICAL CURRENT DENSITY (SUPERCONDUCTIVITY); ENTROPY; ITERATIVE METHODS; LATTICE VIBRATIONS; MATHEMATICAL MODELS; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES; SUPERCOOLING; THERMODYNAMICS;

BOOTSTRAP PERCOLATION; EXTENSIVE CONFIGURATIONAL ENTROPY; HARD CORE INTERACTIONS; TRANSFER MATRIX TECHNIQUE;

GLASS TRANSITION;

EID: 2942675027     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.92.185504     Document Type: Article

References (31)

1. Recent reviews: P. G. De Benedetti and F. H. Stillinger, Nature (London) 410, 267 (2001); C. A. Angell, Science 267, 1924 (1995); P.G. De Benedetti, Metastable Liquids (Princeton University Press, Princeton, 1997); G. Tarjus and D. Kivelson, in Jamming and Rheology, edited by A. J. Liu and S. R. Nagel (Taylor and Francis, New York, 2001).
2. Recent reviews: P. G. De Benedetti and F. H. Stillinger, Nature (London) 410, 267 (2001); C. A. Angell, Science 267, 1924 (1995); P.G. De Benedetti, Metastable Liquids (Princeton University Press, Princeton, 1997); G. Tarjus and D. Kivelson, in Jamming and Rheology, edited by A. J. Liu and S. R. Nagel (Taylor and Francis, New York, 2001).
3. Recent reviews: P. G. De Benedetti and F. H. Stillinger, Nature (London) 410, 267 (2001); C. A. Angell, Science 267, 1924 (1995); P.G. De Benedetti, Metastable Liquids (Princeton University Press, Princeton, 1997); G. Tarjus and D. Kivelson, in Jamming and Rheology, edited by A. J. Liu and S. R. Nagel (Taylor and Francis, New York, 2001).
4. Recent reviews: P. G. De Benedetti and F. H. Stillinger, Nature (London) 410, 267 (2001); C. A. Angell, Science 267, 1924 (1995); P.G. De Benedetti, Metastable Liquids (Princeton University Press, Princeton, 1997); G. Tarjus and D. Kivelson, in Jamming and Rheology, edited by A. J. Liu and S. R. Nagel (Taylor and Francis, New York, 2001).
5. M. D. Ediger, Annu. Rev. Phys. Chem. 51, 99 (2000); E. R. Weeks, J. C. Crocker, A. C. Levitt, A. Schofield, and D. A. Weitz, Science 287, 627 (2000).
6. M. D. Ediger, Annu. Rev. Phys. Chem. 51, 99 (2000); E. R. Weeks, J. C. Crocker, A. C. Levitt, A. Schofield, and D. A. Weitz, Science 287, 627 (2000).
7. M. M. Hurley and P. Harrowell, Phys. Rev. E 52, 1694 (1995); C. Donati, S. C. Glotzer, P. H. Poole, W. Kob, and S. J. Plimpton, Phys. Rev. E 60, 3107 (1999).
8. M. M. Hurley and P. Harrowell, Phys. Rev. E 52, 1694 (1995); C. Donati, S. C. Glotzer, P. H. Poole, W. Kob, and S. J. Plimpton, Phys. Rev. E 60, 3107 (1999).
9. J. Jackle, J. Phys. Condens. Matter 14, 1423 (2002).
10. F. Ritort and P. Sollich, Adv. Phys. 52, 219 (2003).
11. J. P. Garrahan and D. Chandler, Proc. Natl. Acad. Sci. U.S.A. 100, 9710 (2003).
12. M. Sellitto and J.-J. Arenzon, Phys. Rev. E 62, 7793 (2000).
13. H. M. Jaeger, J. B. Knight, and R. P. Behringer, Rev. Mod. Phys. 68, 1259 (1996).
14. W. Kob and H. C. Andersen, Phys. Rev. E 48, 4364 (1993).
15. S. Franz, R. Mulet, and G. Parisi, Phys. Rev. E 65, 021506 (2002).
16. S. Franz and G. Parisi, J. Phys. Condens. Matter 12, 6335 (2000); C. Donati, S. Franz, G. Parisi, and S. C. Glotzer, J. Non-Cryst. Solids 307, 215 (2002).
17. S. Franz and G. Parisi, J. Phys. Condens. Matter 12, 6335 (2000); C. Donati, S. Franz, G. Parisi, and S. C. Glotzer, J. Non-Cryst. Solids 307, 215 (2002).
18. C. Toninelli, G. Biroli, and D. S. Fisher (to be published); C. Toninelli and G. Biroli, cond-mat/0402314.
19. L. F. Cugliandolo, in Slow Relaxation and Non Equilibrium Dynamics in Condensed Matter, Proceedings of the Les Houches Summer School, Session LXXVII, edited by J.-L. Barrat, J. Dalibard, J. Kurchan, and M.V. Feigel'man (Springer, Berlin, 2002).
20. M. Aizenman, J.T. Chayes, L. Chayes, and C.M. Newman, J. Stat. Phys. 50, 1 (1988).
21. J.W. Essam and M. E. Fisher, Rev. Mod Phys. 42, 272 (1970).
22. M. Aizenman and J. L. Lebowitz, J. Phys. A 21, 3801 (1988).
23. J. Adler, Physica (Amsterdam) 171A, 453 (1991).
24. J. Chalupa, P. L. Leath, and G. R. Reich, J. Phys. C 12, L31 (1979).
25. For the KA model one can also prove that irreducibility implies no ergodicity breaking in the thermodynamic limit (see [12]).
26. A. E. Holroyd, Probab. Theory Relat. Fields 125, 195 (2003).
27. R. Cerf and E. Cirillo, Ann. Probab. 27, 1837 (1999); R. Cerf and F. Manzo, Stochastic Processes 101, 69 (2002).
28. R. Cerf and E. Cirillo, Ann. Probab. 27, 1837 (1999); R. Cerf and F. Manzo, Stochastic Processes 101, 69 (2002).
29. H. Spohn, J. Stat Phys. 59, 1227 (1990); Physica (Amsterdam) 163A, 134 (1990).
30. H. Spohn, J. Stat Phys. 59, 1227 (1990); Physica (Amsterdam) 163A, 134 (1990).
31. L. Berthier, Phys. Rev. Lett. 91, 055701 (2003).