Ideal glass-glass transitions and logarithmic decay of correlations in a simple system

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

Volumn 59, Issue 2, 1999, Pages

  Fabbian, L ^a,b   Gotze W ^a,b   Sciortino, F ^a,b   Tartaglia, P ^a,b   Thiery, F ^a,b  

^a UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

^b INFM   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000824738     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.59.R1347     Document Type: Article

References (30)

1. H. Z. Cummins, G. Li, W. Du, Y. H. Hwang, and G. Q. Sheu, Prog. Theor. Phys. 126, 21 (1997).
2. A. Tölle, H. Schober, J. Wuttke, O. G. Randl, and F. Fujara, Phys. Rev. Lett. 80, 2374 (1998).
3. J. Wuttke, M. Seidl, G. Hinze, A. Tölle, W. Petry, and G. Coddence, Eur. Phys. J. B 1, 169 (1998).
4. W. van Megen and P. N. Pusey, Phys. Rev. A 43, 5429 (1991).
5. W. van Megen and S. M. Underwood, Phys. Rev. E 49, 4206 (1994)
6. W. van MegenS. M. UnderwoodPhys. Rev. Lett. 70, 2766 (1993).
7. W. Kob and H. C. Andersen, Phys. Rev. E 51, 4626 (1995)
8. W. KobH. C. AndersenPhys. Rev. Lett. 73, 1376 (1994).
9. P. Gallo, F. Sciortino, P. Tartaglia, and S.-H. Chen, Phys. Rev. Lett. 76, 2730 (1996)
10. F. Sciortino, P. Gallo, P. Tartaglia, and S.-H. Chen, Phys. Rev. E 54, 6331 (1996)
11. F. Sciortino, L. Fabbian, S.-H. Chen, and P. Tartaglia, Phys. Rev. E 56, 5397 (1997).
12. U. Bengtzelius, W. Götze, and A. Sjölander, J. Phys. C 17, 5915 (1984).
13. W. Götze and L. Sjögren, Rep. Prog. Phys. 55, 241 (1992).
14. C. A. Angell, in Complex Behavior of Glassy Systems, edited by M. Rubí and C. Pérez-Vicente (Springer, Berlin, 1997), p. 1.
15. M. Nauroth and W. Kob, Phys. Rev. E 55, 657 (1997).
16. L. Fabbian, F. Sciortino, F. Thiery, and P. Tartaglia, Phys. Rev. E 57, 1485 (1998).
17. W. Götze, Liquids, Freezing and Glass Transition, edited by J.-P. Hansen, D. Levesque, and J. Zinn-Justin (North-Holland, Amsterdam, 1991), p. 287.
18. V. I. Arnold, Catastrophe Theory, 3rd ed. (Springer Verlag, Berlin, 1992).
19. Calculations have been published for soft repulsive [J.-L. Barrat and A. Latz, J. Phys.: Condens. Matter 2, 4289 (1990)]
20. Lennard Jones 86, Yukawa potentials [M. Fuchs, Mater. Res. Soc. Symp. Proc. 407, 94 (1996)] as well as for potentials modeling (Formula presented)
21. [S. K. Lai and W. J. Ma, Phys. Rev. E 55, 2026 (1997)], charged colloids
22. Phys. Rev. E[S. K. Lai, W. J. Ma, W. van Megen, and I. K. Snook 56, 766 (1997)], water 7, and Ga
23. Phys. Rev. E[H. C. Chen and S. K. Lai, 56, 4381 (1997)].
24. W. Götze and L. Sjögren, J. Phys.: Condens. Matter 1, 4203 (1989).
25. L. Sjögren, J. Phys.: Condens. Matter 3, 5023 (1991).
26. R. J. Baxter, J. Chem. Phys. 49, 2770 (1968).
27. S. H. Chen, J. Rouch, F. Sciortino and P. Tartaglia, J. Phys.: Condens. Matter 6, 10855 (1994).
28. H. Verduin and J. K. G. Dhont, J. Colloid Interface Sci. 172, 425 (1995).
29. Using a perturbative solution of the square well potential of depth (Formula presented) and width Δ in the parameter (Formula presented) τ can be related to temperature as (Formula presented) See S. V. G. Menon, C. Manohar, and K. Srinivasa Rao, J. Chem. Phys. 95, 9186 (1991).
30. F. Thiery, Master thesis, University of Rome La Sapienza (unpublished). The size of the grid and the upper cutoff define uniquely the structural model used in the present calculations.