Cooperative heterogeneous facilitation: Multiple glassy states and glass-glass transition

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

Volumn 86, Issue 3, 2012, Pages

  Sellitto, Mauro ^a  

^a SECOND UNIVERSITY OF NAPLES   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BETHE LATTICE; COMPLEX NETWORKS; DYNAMIC FACILITATIONS; GLASSY STATE; MODE-COUPLING THEORY; QUENCHED DISORDER; RANDOM GRAPHS; SUPERCOOLED LIQUIDS;

GLASS TRANSITION; LATTICE THEORY;

GLASS;

EID: 84866941205     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.86.030502     Document Type: Article

References (41)

1. W. Götze, Complex Dynamics of Glass-Forming Liquids (Oxford University, Oxford, England, 2009).
2. G. H. Fredrickson and H. C. Andersen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.53.1244 53, 1244 (1984).
3. For a review, see: F. Ritort and P. Sollich, Adv. Phys. ADPHAH 0001-8732 10.1080/0001873031000093582 52, 219 (2003).
4. J. Chalupa and P. L. Leath, and G. R. Reich, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/12/1/008 12, L31 (1979).
5. For a review, see: P. De Gregorio, A. Lawlor, and K. A. Dawson, in Encyclopedia of Complexity and Systems Science, edited by, R. A. Meyers, (Springer, New York, 2009), p. 608.
6. A. J. Liu and S. R. Nagel, Annu. Rev. Condens. Matter Phys. 1947-5454 10.1146/annurev-conmatphys-070909-104045 1, 347 (2010).
7. R. Monasson, R. Zecchina, S. Kirkpatrick, B. Selman, and L. Troyansky, Nature NATUAS 0028-0836 10.1038/22055 400, 133 (1999). (Pubitemid 29327535)
8. I. Breskin, J. Soriano, E. Moses, and T. Tlusty, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.188102 97, 188102 (2006). (Pubitemid 44658279)
9. M. Kaufman and D. Stauffer, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01052812 73, 5/6 (1993).
10. P. Klimek, S. Thurner, and R. Hanel, J. Theor. Biol. JTBIAP 0022-5193 10.1016/j.jtbi.2008.09.030 256, 142 (2009).
11. R. Gilmore, Catastrophe Theory for Scientists and Engineers (Wiley, New York, 1981).
12. K. Dawson, G. Foffi, M. Fuchs, W. Götze, F. Sciortino, M. Sperl, P. Tartaglia, T. Voigtmann, and E. Zaccarelli, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.63.011401 63, 011401 (2000).
13. K. N. Pham, A. M. Puertas, J. Bergenholtz, S. U. Egelhaaf, A. Moussaid, P. N. Pusey, A. B. Schofield, M. E. Cates, M. Fuchs, and W. C. Poon, Science SCIEAS 0036-8075 10.1126/science.1068238 296, 104 (2002). (Pubitemid 34280067)
14. T. Eckert and E. Bartsch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.125701 89, 125701 (2002).
15. S. H. Chong, A. J. Moreno, F. Sciortino, and W. Kob, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.215701 94, 215701 (2005). (Pubitemid 41638016)
16. V. Krakoviack, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94. 065703 94, 065703 (2005). (Pubitemid 40620787)
17. J. Kurzidim, D. Coslovich, and G. Kahl, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.138303 103, 138303 (2009).
18. K. Kim, K. Miyazaki, and S. Saito, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/88/36002 68, 36002 (2009).
19. M. Sperl, E. Zaccarelli, F. Sciortino, P. Kumar, and H. E. Stanley, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.145701 104, 145701 (2010).
20. Th. Voigtmann, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/96/ 36006 96, 36006 (2011).
21. T. R. Kirkpatrick and P. G. Wolynes, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.35.3072 35, 3072 (1987).
22. T. R. Kirkpatrick and D. Thirumalai, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.58.2091 58, 2091 (1987).
23. M. Mézard and G. Parisi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.747 82, 747 (1999).
24. J.-P. Bouchaud, L. F. Cugliandolo, J. Kurchan, and M. Mézard, Physica A PHYADX 0378-4371 10.1016/0378-4371(95)00423-8 226, 243 (1996).
25. P. Mayer, K. Miyazaki, and D. R. Reichman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.095702 97, 095702 (2006). (Pubitemid 44329377)
26. A. Andreanov, G. Biroli, and J.-P. Bouchaud, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/88/16001 88, 16001 (2009).
27. A. Ikeda and K. Miyazaki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.255704 104, 255704 (2010).
28. B. Schmid and R. Schilling, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.041502 81, 041502 (2010).
29. G. Szamel and E. Flenner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.105505 107, 105505 (2011).
30. S. Franz, F. Ricci-Tersenghi, T. Rizzo, and G. Parisi, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/i2011-11102-0 34, 102 (2011).
31. N. S. Branco, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01053606 70, 1035 (1993).
32. J. Kurchan, L. Peliti, and M. Sellitto, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i1997-00363-0 39, 365 (1997).
33. M. Sellitto, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/14/7/305 14, 1455 (2002). (Pubitemid 34221082)
34. M. Sellitto, G. Biroli, and C. Toninelli, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10372-5 69, 496 (2005). (Pubitemid 40306232)
35. L. Foini, F. Krzakala, and F. Zamponi, J. Stat. Mech. 1742-5468 10.1088/1742-5468/2012/06/P06013 (2012) P06013.
36. M. Sellitto, D. De Martino, F. Caccioli, and J. J. Arenzon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.265704 105, 265704 (2010).
37. J. J. Arenzon and M. Sellitto, J. Chem. Phys. 0021-9606 10.1063/1.4746695 137, 084501 (2012).
38. R. L. G. Fontes and R. H. Schonmann, J. Stat. Phys. JSTPBS 0022-4715 10.1007/s10955-008-9583-2 132, 839 (2008).
39. G. J. Baxter, S. N. Dorogovtsev, A. V. Goltsev, and J. F. F. Mendes, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.011103 82, 011103 (2010).
40. D. Cellai (private communication);
41. D. Cellai, A. Lawlor, K. A. Dawson, and J. P. Gleeson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.175703 107, 175703 (2011).