Dynamical structure factor in disordered systems

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

Volumn 62, Issue 2, 2000, Pages 2373-2379

  Martin Mayor V ^a   Parisi, G ^a   Verrocchio, P ^a  

^a UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; ELECTRONIC DENSITY OF STATES; FOURIER TRANSFORMS; GLASS; LATTICE CONSTANTS; LIQUIDS; SUPERCOOLING; SURFACE STRUCTURE;

DISORDERED HARMONIC SOLID; DYNAMICAL STRUCTURE FACTOR; NONVANISHING DENSITY OF STATE; SINGLE DEFECT APPROXIMATION; SINGLE LINK COHERENT POTENTIAL APPROXIMATION;

SOLIDS;

EID: 0034239334     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.2373     Document Type: Article

References (35)

1. C. Masciovecchio , Phys. Rev. Lett. 76, 3356 (1996)
2. Phys. Rev. Lett.C. Masciovecchio , 80, 544 (1998)
3. Phys. Rev. Lett.M. Foret, E. Courtens, R. Vacher, and J.-B. Suck, 77, 3831 (1996).
4. Phys. Rev. Lett.P. Benassi , 77, 3835 (1996)
5. C. Masciovecchio , Phys. Rev. B 55, 8049 (1997)
6. E. Rat , Phys. Rev. E. 83, 1355 (1999)
7. G. Monaco, C. Masciovecchio, G. Ruocco, and F. Sette, Phys. Rev. Lett. 80, 2161 (1998);A. Matic , report, 1999 (unpublished).
8. C. Masciovecchio , e-print cond-mat/9809308.
9. V. Mazzacurati, G. Ruocco, and M. Sampoli, Europhys. Lett. 34, 681 (1996)
10. M. Sampoli , Philos. Mag. B 77, 473 (1998)
11. M. C. C. Ribeiro, M. Wilson, and P. A. Madden, J. Chem. Phys. 108, 9027 (1998)
12. R. Dell’Anna, G. Ruocco, M. Sampoli, and G. Viliani, Phys. Rev. Lett. 80, 1236 (1998)
13. S. N. Taraskin and S. R. Elliott, Phys. Rev. B 59, 8572 (1999)
14. J. Horbach, W. Kob, and K. Binder, e-print cond-mat/9910445.
15. T.M. Wu and R.F. Loring, J. Chem. Phys. 97, 8568 (1992)
16. J. Chem. Phys.Y. Wan and R.M. Stratt, 100, 5123 (1994)
17. A. Cavagna, I. Giardina, and G. Parisi, Phys. Rev. Lett. 83, 108 (1999).
18. G. Biroli and R. Monasson, J. Phys. A 32, L255 (1999).
19. M. Mezard, G. Parisi, and A. Zee, e-print cond-mat/9906135.
20. W. Götze and M.R. Mayr, Phys. Rev. E 61, 587 (2000).
21. W. Schirmacher, G. Diezemann, and C. Ganter, Phys. Rev. Lett. 81, 136 (1998).
22. S. R. Elliott, Physics of Amorphous Materials (Longman, England, 1983).
23. S. Kirkpatrick, Rev. Mod. Phys. 45, 574 (1973)
24. T. Odagaki and M. Lax, Phys. Rev. B 24, 5284 (1981)
25. I. Webman, Phys. Rev. Lett. 47, 1496 (1981)
26. S. Summerfield, Solid State Commun. 39, 401 (1981).
27. M. Montagna , Phys. Rev. Lett. 83, 3450 (1999).
28. J. P. Hamsem and I. R. McDonald, Theory of Simple Liquids (Academic, London, 1986).
29. For a general value of E and D, the function (Formula presented) should be calculated numerically. A particularly simple way of doing it is by a Monte Carlo method: one chooses uniformly points on the Brillouin zone, calculates the corresponding (Formula presented) value, and obtains a histogram of the results. In this way, we have tabulated the three-dimensional (Formula presented) function at intervals of (Formula presented) with the same level of accuracy, in a half-an-hour run on a desktop computer. This is the maximum level of accuracy that we can expect in the numerical integrations where we have used our tabulated (Formula presented).
30. C. Benoit, E. Royer, and G. Poussigue, J. Phys.: Condens. Matter 4, 3125 (1992), and references
31. J. Phys.: Condens. MatterC. Benoit, 1, 335 (1989)
32. G. Viliani , Phys. Rev. B 52, 3346 (1995).
33. P. Turchi, F. Ducastelle, and G. Treglia, J. Chem. Phys. 15, 2891 (1982).
34. F. Sciortino and P. Tartaglia, Phys. Rev. Lett. 78, 2385 (1997).
35. L. Angelani, M. Montagna, G. Ruocco, and G. Viliani, Phys. Rev. Lett. (to be published) (e-print cond-mat/0001363).