Closure of the Monte Carlo dynamical equations in the spherical Sherrington-Kirkpatrick model

Physical Review B - Condensed Matter and Materials Physics

Volumn 54, Issue 6, 1996, Pages 4170-4182

  Bonilla, L ^a   Padilla, F ^a   Parisi, G ^b  

^a UNIVERSIDAD CARLOS III DE MADRID   (Spain)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000716650     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.54.4170     Document Type: Article

References (48)

1. J. O. Anderson, J. Mattsson and P. Svedlindh, Phys. Rev. B 46, 8297 (1992).
2. H. Rieger, J. Phys. A 26, L615 (1993).
3. L. F. Cugliandolo, J. Kurchan and F. Ritort, Phys. Rev. B 49, 6331 (1994).
4. J. Kisker, L. Santen, M. Schreckenberg and H. Rieger, Phys. Rev. B 53, 6418 (1996).
5. L. Lundgren, P. Svedlindh, P. Nordblad and O. Beckman, Phys. Rev. Lett. 51, 911 (1983).
6. E. Vincent, J. Hammann, and M. Ocio, in Recent Progress in Random Magnets, edited by D. H. Ryan (World Scientific, Singapore, 1992), and references therein.
7. L. C. E. Struik, Physical Aging in Amorphous Polymers and Other Materials (Elsevier, Houston, 1978).
8. J. P. Bouchaud, J. Phys. (France) I 2, 1705 (1992).
9. J. P. Bouchaud and D. Dean, J. Phys. (France) I 5, 265 (1995).
10. T. R. Kirkpatrick and D. Thirumalai, Phys. Rev. B 36, 5388 (1987).
11. A. Crisanti, H. Horner and H.-J. Sommers, Z. Phys. B 92, 257 (1993).
12. L. F. Cugliandolo and J. Kurchan, Phys. Rev. Lett. 71, 173 (1993).
13. S. Franz and M. Mézard, Physica A 210, 48 (1994).
14. L. F. Cugliandolo and P. Le Doussal, Phys. Rev. E 53, 1525 (1996).
15. H. Horner (unpublished).
16. J. P. Bouchaud, L. F. Cugliandolo, J. Kurchan, and M. Mézard (unpublished).
17. E. Lentheusser, Phys. Rev. A 29, 2765 (1984).
18. T. R. Kirkpatrick, Phys. Rev. A 31, 939 (1985).
19. W. Gotze and L. Sjogren, Rep. Prog. Phys. 55, 241 (1992).
20. This connection was realized some time ago by T. R. Kirkpatrick and D. Thirumalai, J. Phys. A 22, L149 (1989).
21. S. Franz, E. Marinari, and G. Parisi (unpublished).
22. A. C. C. Coolen and D. Sherrington, J. Phys. A 27, 7687 (1994).
23. A. C. C. Coolen and S. Franz, J. Phys. A 27, 6947 (1994).
24. A. C. C. Coolen, S. Laughton and D. Sherrington, Phys. Rev. B 53, 8184 (1996).
25. H. Nishimori and M. Yamana (unpublished).
26. J. M. Kosterlitz, D. J. Thouless and R. C. Jones, Phys. Rev. Lett. 36, 1217 (1976).
27. L. L. Bonilla, F. G. Padilla, G. Parisi and F. Ritort, Europhys. Lett. 34, 159 (1996).
28. S. Ciuchi and F. De Pasquale, Nucl. Phys. B300, 31 (1988).
29. L. F. Cugliandolo and D. S. Dean, J. Phys. A 28, 4213 (1995).
30. M. L. Mehta, Random Matrices and the Statistical Theory of Energy Levels (Academic, New York, 1967).
31. E. Gardner, Nucl. Phys. B257, 747 (1985).
32. D. J. Gross, I. Kanter and H. Sompolinsky, Phys. Rev. Lett. 55, 304 (1985).
33. E. Marinari, G. Parisi and F. Ritort, J. Phys. A 27, 7647 (1994).
34. J. Bernasconi, J. Phys. (Paris) 48, 559 (1993).
35. J. P. Bouchaud and M. Mézard, J. Phys. (France) I 4, 1109 (1994).
36. E. Marinari, G. Parisi and F. Ritort, J. Phys. A 27, 7615 (1994).
37. E. Marinari, G. Parisi and F. Ritort, J. Phys. A 28, 327 (1995).
38. L. F. Cugliandolo, J. Kurchan, G. Parisi and F. Ritort, Phys. Rev. Lett. 74, 1012 (1995).
39. F. G. Padilla and F. Ritort (unpublished).
40. W. Krauth and M. Mézard (unpublished).
41. W. Krauth and O. Pluchery, J. Phys. A 27, L715 (1994).
42. G. Migliorini and F. Ritort, J. Phys. A 27, 7669 (1994).
43. F. Ritort, Phys. Rev. Lett. 75, 1190 (1995).
44. S. Franz and F. Ritort, Europhys. Lett. 31, 507 (1995);S. Franz and F. Ritort (unpublished).
45. Y. Kuramoto, Chemical Oscillations, Waves and Turbulence (Springer, Berlin, 1984).
46. J. W. Swift, S. H. Strogatz and K. Wiesenfeld, Physica D 55, 239 (1992).
47. T. Padmanabhan, Phys. Rep. 188, 285 (1990).
48. L. L. Bonilla, J. A. Carrillo and J. Soler, Phys. Lett. A 212, 55 (1996).