Critical dynamics in glassy systems

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

Volumn 87, Issue 1, 2013, Pages

  Parisi, Giorgio ^a,b   Rizzo, Tommaso ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b INFN SEZIONE DI ROMA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CRITICAL DYNAMICS; CRITICAL POINTS; CUMULANTS; DYNAMICAL CRITICAL EXPONENT; DYNAMICAL EQUATION; GLASS MODELS; GLASSY SYSTEMS; MODE COUPLING THEORY; SCALE-INVARIANT;

CONDENSED MATTER PHYSICS; PHYSICS;

DYNAMICS;

GLASS;

ARTICLE; CHEMICAL MODEL; CHEMICAL STRUCTURE; CHEMISTRY; COMPUTER SIMULATION; ENERGY TRANSFER; PHASE TRANSITION;

COMPUTER SIMULATION; ENERGY TRANSFER; GLASS; MODELS, CHEMICAL; MODELS, MOLECULAR; PHASE TRANSITION;

EID: 84872338532     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.87.012101     Document Type: Article

References (49)

1. F. Caltagirone, G. Parisi, and T. Rizzo, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.85.051504 85, 051504 (2012).
2. U. Ferrari, L. Leuzzi, G. Parisi, and T. Rizzo, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86.014204 86, 014204 (2012).
3. F. Caltagirone, U. Ferrari, L. Leuzzi, G. Parisi, and T. Rizzo, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86.064204 86, 064204 (2012).
4. S. Franz, H. Jacquin, G. Parisi, P. Urbani, and F. Zamponi, PNAS 0027-8424 10.1073/pnas.1216578109 109, 18725 (2012).
5. T. Rizzo, arXiv: 1209.5578.
6. G. Szamel, Europhys. Lett. 0295-5075 10.1209/0295-5075/91/56004 91, 56004 (2010).
7. H. Sompolinsky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.47. 935 47, 935 (1981).
8. H. Sompolinsky and A. Zippelius, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.25.6860 25, 6860 (1982).
9. T. R. Kirkpatrick and D. Thirumalai, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.58.2091 58, 2091 (1987);
10. T. R. Kirkpatrick and D. Thirumalai, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.36.5388 36, 5388 (1987);
11. T. R. Kirkpatrick, D. Thirumalai, and P. G. Wolynes, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.40.1045 40, 1045 (1989).
12. A. Crisanti, H. Horner, and H. Sommers, Z. Phys. B ZPCMDN 0722-3277 10.1007/BF01312184 92, 257 (1993).
13. U. Bengtzelius, W. Götze, and A. Sjölander, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/17/33/005 17, 5915 (1984).
14. W. Götze, Z. Phys. B ZPCMDN 0722-3277 10.1007/BF01469695 56, 139 (1984).
15. W. Götze, in Les Houches Session 1989, edited by, J. Hansen, D. Levesque, and, J. Zinn-Justin, (North Holland, Amsterdam, 1991).
16. W. Götze, Complex Dynamics of Glass-Forming Liquids: A Mode-Coupling Theory (Oxford University Press, Oxford, UK, 2009).
17. J.-P. Bouchaud, L. Cugliandolo, J. Kurchan, and M. Mézard, Physica A PHYADX 0378-4371 10.1016/0378-4371(95)00423-8 226, 243 (1996).
18. J. M. Carlson, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01014365 61, 1069 (1990).
19. D. J. Gross, I. Kanter, and H. Sompolinsky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.55.304 55, 304 (1985).
20. Y. Y. Goldschmidt, Europhys. Lett. 0295-5075 10.1209/0295-5075/6/1/002 6, 7 (1988).
21. A. Crisanti and H. Sommers, Z. Phys. B ZPCMDN 0722-3277 10.1007/BF01309287 87, 341 (1992).
22. A. Cavagna and T. Castellani, J. Stat. Mech. 10.1088/1742-5468/2005/05/ P05012 (2005) P05012.
23. L. F. Cugliandolo and J. Kurchan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71.173 71, 173 (1993).
24. R. Monasson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75. 2847 75, 2847 (1995).
25. S. Franz and G. Parisi, Physica A PHYADX 0378-4371 10.1016/S0378-4371(98) 00315-X 261, 317 (1998).
26. S. Franz, G. Parisi, F. Ricci-Tersenghi, and T. Rizzo, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/i2011-11102-0 34, 102 (2011).
27. S. F. Edwards and P. W. Anderson, J. Phys. F JPFMAT 0305-4608 10.1088/0305-4608/5/5/017 5, 965 (1975).
28. D. Sherrington and S. Kirkpatrick, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.35.1792 35, 1792 (1975).
29. G. Parisi, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.43.1754 43, 1754 (1979).
30. A. Crisanti, Nucl. Phys. B NUPBBO 0550-3213 10.1016/j.nuclphysb.2007.11. 039 796, 425 (2008).
31. F. Caltagirone, U. Ferrari, L. Leuzzi, G. Parisi, F. Ricci-Tersenghi, and T. Rizzo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.085702 108, 085702 (2012).
32. C. Brangian, W. Kob, and K. Binder, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2002-00140-7 59, 546 (2002).
33. T. Sarlat, A. Billoire, G. Biroli, and J.-P. Bouchaud, JSTAT 1742-5468 10.1088/1742-5468/2009/08/P08014 P08014 (2009).
34. G. Parisi, F. Ricci-Tersenghi, and T. Rizzo (to be published).
35. H.-J. Sommers and K. H. Fischer, Z Phys. B ZPCMDN 0722-3277 10.1007/BF01304264 58, 125 (1984).
36. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena, (Oxford University Press, Oxford, UK, 2002), Chaps. 16 and 17.
37. T. Sarlat, A. Billoire, G. Biroli, and J.-P. Bouchaud, J. Stat. Mech. 10.1088/1742-5468/2009/08/P08014 (2009) P08014.
38. M. Mézard, G. Parisi, and M. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1987).
39. T. Temesvari, C. De Dominicis, and I. R. Pimentel, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e20020041 25, 361 (2002).
40. E. Leutheusser, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.29.2765 29, 2765 (1984).
41. W. Götze, Z. Phys. B ZPCMDN 0722-3277 10.1007/BF01304439 60, 195 (1985).
42. L. Sjogren, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/13/5/003 13, 705 (1980);
43. L. Sjogren, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.22.2883 22, 2883 (1980).
44. M. Nauroth and W. Kob, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.55. 657 55, 657 (1997).
45. A. Andreanov, G. Biroli, and J.-P. Bouchaud, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/88/16001 88, 16001 (2009).
46. L. F. Cugliandolo, J. Kurchan, and P. Le Doussal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.2390 76, 2390 (1996).
47. C. Cammarota and G. Biroli, PNAS 0027-8424 10.1073/pnas.1111582109 109, 8850 (2012).
48. S. Franz and G. Parisi, J. Phys. I (France) JPGCE8 1155-4304 10.1051/jp1:1995201 5, 1401 (1995).
49. M. Mezard and G. Parisi, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.479193 111, 1076 (1999).