Macroscopic glassy relaxations and microscopic motions in a frustrated lattice gas

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 57, Issue 1, 1998, Pages R39-R42

  Nicodemi, Mario ^a   Coniglio, Antonio ^a  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002034291     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.R39     Document Type: Article

References (26)

1. W. Gotze and L. Sjogren, Rep. Prog. Phys. 55, 241 (1992).
2. C. A. Angell, Science 267, 1924 (1995);
3. M. D. Ediger, C. A. Angell, and S. R. Nagel, J. Phys. Chem. 100, 13 200 (1996).
4. M. Nicodemi and A. Coniglio, J. Phys. A 30, L187 (1997).
5. K. Binder and A. P. Young, Rev. Mod. Phys. 58, 801 (1986);
6. G. Parisi, M. Mezard, and M. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1988).
7. A. Coniglio, J. Phys. (France) IV C1, Suppl. J. Phys. (France) II 3, 1 (1993).
8. P. Rivier, Philos. Mag. A 40, 859 (1979).
9. J. Arenzon, M. Nicodemi, and M. Sellitto, J. Phys. (France) II 6, 1143 (1996).
10. T. R. Kirkpatrick and D. Thirumalai, Phys. Rev. B 36, 5388 (1987);
11. L. F. Cugliandolo and J. Kurchan, Phys. Rev. Lett. 51, 173 (1993).
12. G. Parisi, (unpublished).
13. L. Andreozzi, A. Di Schino, M. Giordano, and D. Leporini, J. Phys., Condens. Matter 8, 9605 (1996).
14. E. Rossler, J. Tauchert, and P. Eiermann, J. Chem. Phys. 98, 8173 (1995).
15. G. Tarjus and D. Kivelson, J. Chem. Phys. 103, 3071 (1995).
16. D. Ehlich and H. Sillescu, Macromolecules 23, 1600 (1990).
17. P. N. Segrè, S. P. Meeker, P. N. Pusey, and W. C. K. Poon, Phys. Rev. Lett. 75, 958 (1995);
18. P. N. Segrè and P. N. Pusey, Phys. Rev. Lett. 77, 771 (1996).
19. W. Kob and H. C. Andersen, Phys. Rev. Lett. 73, 1376 (1994);
20. W. KobH. C. AndersenPhys. Rev. E 51, 4626 (1995);
21. W. KobH. C. Phys. Rev. E Andersen47, 3281 (1993);
22. P. Gallo, Phys. Rev. Lett. 76, 2730 (1996).
23. A. T. Ogielski, Phys. Rev. B 32, 7384 (1985).
24. Actually, other fit functions may be used. We reported the power law fit because it is slightly better than other fits such as exponential or Vogel-Fulcher 18. Moreover the power law fit is consistent with the mean field picture of a power law behavior at a dynamical transition above the static transition.
25. M. Nicodemi and A. Coniglio (unpublished).
26. Note that the Stokes-Einstein law has a general validity only in the hydrodynamical limit, namely, the size of the diffusive particle must be very large compared with the molecular size of the liquid. Experimentally in normal liquids the SE law is verified even for particle sizes of the order of the molecular size. For this range of particle sizes the SE law must be considered a phenomenological law, which seems to break down near the glass transition. This is also the case for our model where the diffusive particle coincides with the particle fluid.