Overlap fluctuations in glass-forming liquids

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

Volumn 88, Issue 2, 2013, Pages

  Berthier, Ludovic ^a  

^a CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CRITICAL TEMPERATURES; EQUILIBRIUM CONFIGURATION; FIRST-ORDER PHASE TRANSITIONS; GLASS-FORMING LIQUID; STRUCTURAL EVOLUTION; THERMAL FLUCTUATIONS; THERMODYNAMIC FIELDS; THERMODYNAMIC FLUCTUATIONS;

GLASS FORMING MACHINES; GLASS TRANSITION; LIQUIDS; PROBABILITY DISTRIBUTIONS;

GLASS;

EID: 84883853214     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.88.022313     Document Type: Article

References (41)

1. L. Berthier and G. Biroli, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.83.587 83, 587 (2011).
2. K. Binder and W. Kob, Glassy Materials and Disordered Solids (World Scientific, Singapore, 2011).
3. M. D. Ediger, Annu. Rev. Phys. Chem. ARPLAP 0066-426X 10.1146/annurev.physchem.51.1.99 51, 99 (2000).
4. Dynamical Heterogeneities in Glasses, Colloids and Granular Materials, edited by L. Berthier, G. Biroli, J.-P. Bouchaud, L. Cipelletti, and W. van Saarloos (Oxford University Press, Oxford, 2011).
5. G. Adam and J. H. Gibbs, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1696442 43, 139 (1965).
6. W. Kauzmann, Chem. Rev. CHREAY 0009-2665 10.1021/cr60135a002 43, 219 (1948).
7. J.-P. Bouchaud and G. Biroli, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1796231 121, 7347 (2004).
8. M. Mézard, G. Parisi, and M. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1988).
9. T. R. Kirkpatrick and D. Thirumalai, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.58.2091 58, 2091 (1987).
10. S. Franz and G. Parisi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.2486 79, 2486 (1997).
11. B. Coluzzi and G. Parisi, J. Phys. A: Math. Gen. JPHAC5 0305-4470 10.1088/0305-4470/31/19/004 31, 4349 (1998). (Pubitemid 128067969)
12. K. A. Dawson, S. Franz, and M. Sellitto, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-00174-3 64, 302 (2003). (Pubitemid 37358059)
13. G. Parisi, arXiv: 0911.2265.
14. C. Cammarota, A. Cavagna, I. Giardina, G. Gradenigo, T. S. Grigera, G. Parisi, and P. Verrocchio, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.055703 105, 055703 (2010).
15. J. Yeo and M. A. Moore, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.86.052501 86, 052501 (2012).
16. M. Dzero, J. Schmalian, and P. G. Wolynes, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.72.100201 72, 100201 (2005). (Pubitemid 43022383)
17. S. Franz, J. Stat. Mech. 10.1088/1742-5468/2005/04/P04001 (2005) P04001.
18. C. Cammarota, G. Biroli, M. Tarzia, and G. Tarjus, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.115705 106, 115705 (2011).
19. S. Franz, G. Parisi, and F. Ricci-Tersenghi, J. Stat. Mech. 10.1088/1742-5468/2013/02/L02001 (2013) L02001.
20. C. Cammarota, G. Biroli, M. Tarzia, and G. Tarjus, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.87.064202 87, 064202 (2013).
21. M. A. Moore and B. Drossel, Phys. Rev. Lett. 10.1103/PhysRevLett.89. 217202 89, 217202 (2002).
22. M. Merolle, J. P. Garrahan, and D. Chandler, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.0504820102 102, 10837 (2005). (Pubitemid 41105953)
23. J. P. Garrahan, R. L. Jack, V. Lecomte, E. Pitard, K. van Duijvendijk, and F. van Wijland, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98. 195702 98, 195702 (2007). (Pubitemid 47139480)
24. L. O. Hedges, R. L. Jack, J. P. Garrahan, and D. Chandler, Science SCIEAS 0036-8075 10.1126/science.1166665 323, 1309 (2009).
25. R. L. Jack and J. P. Garrahan, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.011111 81, 011111 (2010).
26. T. Speck, A. Malins, and C. P. Royall, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.109.195703 109, 195703 (2012).
27. L. Berthier and T. A. Witten, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/86/10001 86, 10001 (2009).
28. L. Berthier and T. A. Witten, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.021502 80, 021502 (2009).
29. W. Kob, S. Roldan-Vargas, and L. Berthier, Nat. Phys. 1745-2473 10.1038/nphys2133 8, 164 (2012).
30. D. Frenkel and B. Smit, Understanding Molecular Simulation: From Algorithms to Applications (Academic Press, San Diego, 2001).
31. As for ordinary first-order phase transitions, a nonconvex potential is obtained in the mean-field limit which only considers homogeneous systems. In finite dimensions, the potential becomes convex because the system creates an interface between the two phases, which restores convexity in the thermodynamic limit. The nonconvexity found numerically here is therefore a finite-size effect, not a direct signature of the mean-field result.
32. T. R. Kirkpatrick, D. Thirumalai, and P. G. Wolynes, Phys. Rev. A 0556-2791 10.1103/PhysRevA.40.1045 40, 1045 (1989).
33. J. Kurchan, G. Parisi, and M. A. Virasoro, J. Phys. I JPGCE8 1155-4304 10.1051/jp1:1993217 3, 1819 (1993).
34. M. Mézard, Physica A PHYADX 0378-4371 10.1016/S0378-4371(98)00659- 1 265, 352 (1999).
35. S. Franz and G. Parisi, Phys. A PHYADX 0378-4371 10.1016/S0378-4371(98) 00315-X 261, 317 (1998).
36. S. Franz, M. Cardenas, and G. Parisi, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.478028 110, 1726 (1999).
37. C. Cammarota and G. Biroli, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.4790400 138, 12A547 (2013).
38. G. Biroli and G. Tarjus (private communication);
39. S. Franz and G. Parisi, arXiv: 1307.4955.
40. W. Kob and L. Berthier, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.110.245702 110, 245702 (2013).
41. C. Cammarota and G. Biroli, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.1111582109 109, 8850 (2012).