Constructing explicit magnetic analogies for the dynamics of glass forming liquids

Journal of Chemical Physics

Volumn 129, Issue 19, 2008, Pages

  Stevenson, Jacob D ^a   Walczak, Aleksandra M ^b   Hall, Randall W ^c   Wolynes, Peter G ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b PRINCETON UNIVERSITY   (United States)

^c LOUISIANA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW INTERACTIONS; GLASS; HAMILTONIANS; LIQUIDS; STATISTICAL MECHANICS; SUPERCOOLING;

CONFIGURATIONAL ENTROPIES; ENERGY FUNCTIONAL; ISING HAMILTONIANS; LENNARD JONESES; LIQUID STATES; LIQUID STRUCTURES; LOW TEMPERATURES; MEAN FIELDS; RANDOM FIELDS; RANDOM MAGNETS; RENORMALIZATION GROUPS; REPLICA SYMMETRY BREAKING; SUPERCOOLED LIQUIDS;

RANDOM PROCESSES;

GLASS;

ARTICLE; CHEMISTRY; MAGNETISM; PHASE TRANSITION; THERMODYNAMICS; TIME;

GLASS; MAGNETICS; PHASE TRANSITION; THERMODYNAMICS; TIME FACTORS;

EID: 56849119853     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3009827     Document Type: Article

References (37)

1. T. R. Kirkpatrick and P. G. Wolynes, Phys. Rev. A 1050-2947 10.1103/PhysRevA.35.3072 35, 3072 (1987).
2. T. R. Kirkpatrick and D. Thirumalai, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.58.2091 58, 2091 (1987).
3. T. R. Kirkpatrick and P. G. Wolynes, Phys. Rev. B 0163-1829 10.1103/PhysRevB.36.8552 36, 8552 (1987).
4. S. P. Das, Rev. Mod. Phys. 0034-6861 10.1103/RevModPhys.76.785 76, 785 (2004).
5. V. Lubchenko and P. G. Wolynes, Annu. Rev. Phys. Chem. 0066-426X 10.1146/annurev.physchem.58.032806.104653 58, 235 (2007).
6. Spin Glasses and Random Fields, edited by, A. P. Young, (World Scientific, Singapore, 1997).
7. E. Marinari, G. Parisi, F. Ricci-Tersenghi, J. J. Ruiz-Lorenzo, and F. Zuliani, J. Stat. Phys. 0022-4715 10.1023/A:1018607809852 98, 973 (2000).
8. G. Parisi, Physica A 0378-4371 10.1016/j.physa.2007.09.001 386, 611 (2007).
9. D. Huse and D. S. Fisher, Phys. Rev. B 0163-1829 10.1103/PhysRevB.35.6841 35, 6841 (1987).
10. W. L. Mcmillan, Phys. Rev. B 0163-1829 10.1103/PhysRevB.31.340 31, 340 (1985).
11. J. Villain, J. Phys. (France) 0302-0738 10.1088/0022-3719/18/28/006 46, 1843 (1985).
12. D. Huse and D. S. Fisher, J. Phys. I 1155-4304 10.1051/jp1:1991157 1, 621 (1991).
13. T. R. Kirkpatrick, D. Thirumalai, and P. G. Wolynes, Phys. Rev. A 1050-2947 10.1103/PhysRevA.40.1045 40, 1045 (1989).
14. M. Dzero, J. Schmalian, and P. G. Wolynes, Phys. Rev. B 0163-1829 10.1103/PhysRevB.72.100201 72, 100201 (2005).
15. S. Franz and G. Parisi, J. Phys. I 1155-4304 10.1051/jp1:1995201 5, 1401 (1995).
16. X. Xia and P. G. Wolynes, Proc. Natl. Acad. Sci. U.S.A. 0027-8424 10.1073/pnas.97.7.2990 97, 2990 (2000).
17. M. Tarzia and M. A. Moore, Phys. Rev. E 1063-651X 10.1103/PhysRevE.75. 031502 75, 031502 (2007).
18. T. Temesvári, e-print arXiv:0809.1839v1.
19. M. P. Eastwood and P. G. Wolynes, Europhys. Lett. 0295-5075 10.1209/epl/i2002-00259-y 60, 587 (2002).
20. F. H. Stillinger, P. G. Debenedetti, and T. M. Truskett, J. Phys. Chem. B 1089-5647 10.1021/jp011840i 105, 11809 (2001).
21. R. Monasson, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.75.2847 75, 2847 (1995).
22. Y. Singh, J. P. Stoessel, and P. G. Wolynes, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.54.1059 54, 1059 (1985).
23. M. Fixman, J. Chem. Phys. 0021-9606 10.1063/1.1672506 51, 3270 (1969).
24. J. P. Stoessel and P. G. Wolynes, J. Chem. Phys. 0021-9606 10.1063/1.447235 80, 4502 (1984).
25. M. Ḿzard and G. Parisi, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.82.747 82, 747 (1999).
26. R. W. Hall and P. G. Wolynes, J. Phys. Chem. B 1089-5647 10.1021/jp075017j 112, 301 (2008).
27. W. Kob and H. C. Andersen, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.73.1376 73, 1376 (1994).
28. X. Xia and P. G. Wolynes, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett. 86.5526 86, 5526 (2001).
29. J. D. Stevenson, J. Schmalian, and P. G. Wolynes, Nat. Phys. 2, 268 (2006).
30. V. Lubchenko and P. G. Wolynes, J. Chem. Phys. 0021-9606 10.1063/1.1771633 121, 2852 (2004).
31. V. N. Novikov and A. P. Sokolov, Phys. Rev. E 1063-651X 10.1103/PhysRevE.67.031507 67, 031507 (2003).
32. G. Migliorini and A. N. Berker, Phys. Rev. B 0163-1829 10.1103/PhysRevB.57.426 57, 426 (1998).
33. L. D. Landau and E. M. Lifshitz, Statistical Physics (Addison-Wesley, Reading, MA, 1969).
34. A. M. Ferrenberg and R. H. Swendsen, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.61.2635 61, 2635 (1988).
35. A. M. Ferrenberg and R. H. Swendsen, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.63.1195 63, 1195 (1989).
36. A. N. Drozdov, A. Grossfield, and R. V. Pappu, J. Am. Chem. Soc. 0002-7863 10.1021/ja039051x 126, 2574 (2004).
37. C. Cammarota and A. Cavagna, J. Chem. Phys. 0021-9606 10.1063/1.2802449 127, 214703 (2007).