Index distribution of random matrices with an application to disordered systems

Physical Review B - Condensed Matter and Materials Physics

Volumn 61, Issue 6, 2000, Pages 3960-3970

  Cavagna, Andrea ^a   Garrahan, Juan P ^a   Giardina, Irene ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000299161     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.61.3960     Document Type: Article

References (32)

1. F.J. Dyson, J. Math. Phys. 3, 140 (1962).
2. J. Math. Phys.F.J. Dyson3, 157 (1962).
3. J. Math. Phys.F.J. Dyson3, 166 (1962).
4. J. Math. Phys.F.J. Dyson3, 1199 (1962).
5. M.L. Mehta, Random Matrices, 2nd ed. (Academic Press, Boston, 1991).
6. T.A. Brody, J. Flores, J.B. French, P.A. Mello, A. Pandey, and S.S.M. Wong, Rev. Mod. Phys. 53, 385 (1981).
7. P. Di Francesco, P. Ginsparg, and J. Zinn-Justin, Phys. Rep. 254, 1 (1995).
8. T. Guhr, A. Mueller-Groeling, and H.A. Weidenmueller, Phys. Rep. 299, 189 (1998).
9. For recent reviews on supercooled liquids see C.A. Angell, Science 267, 1924 (1995).
10. P. De Benedetti, Metastable Liquids (Princeton University Press, Princeton, 1997).
11. J. Kurchan and C. Laloux, J. Phys. A 29, 1929 (1996).
12. A. Cavagna, I. Giardina, and G. Parisi, Phys. Rev. B 57, 11 251 (1998).
13. R.M. Stratt, Acc. Chem. Res. 28, 201 (1995).
14. T. Keyes, J. Phys. Chem. A 101, 2921 (1997).
15. A. Cavagna, I. Giardina, and G. Parisi, Phys. Rev. Lett. 83, 108 (1999).
16. A. Kamenev and M. Mézard, J. Phys. A 32, 4373 (1999).
17. A. Kamenev and M. Mézard, Phys. Rev. B 60, 3944(1999).
18. I.V. Yurkevich and I.V. Lerner, cond-mat/9903025 (unpublished).
19. M.R. Zirnbauer, cond-mat/9903338 (unpublished).
20. L. Schafer and F. Wegner, Z. Phys. B 38, 113 (1980).
21. K.B. Efetov, A.I. Larkin, and D.E. Khmelnitskii, Zh. Éksp. Teor. Fiz. 79, 1120 (1980) [Sov. Phys. JETP 52, 568 (1980)].
22. A. Cavagna, J.P. Garrahan, and I. Giardina, Phys. Rev. E 59, 2808 (1999).
23. K.B. Efetov, Supersymmetry in Disorder and Chaos (Cambridge University Press, Cambridge, 1997).
24. J.B. French, P.A. Mello, and A. Pandey, Ann. Phys. (Leipzig) 113, 277 (1978).
25. A. Pandey, Ann. Phys. (Leipzig) 134, 110 (1981).
26. A. Crisanti and H.-J. Sommers, Z. Phys. B 87, 341 (1992).
27. A. Crisanti and H.-J. Sommers, J. Phys. I 5, 805 (1995).
28. A. Crisanti, H. Horner, and H.J. Sommers, Z. Phys. B 92, 257 (1993).
29. J. Kurchan, G. Parisi, and M.A. Virasoro, J. Phys. I 3, 1819 (1993).
30. L.F. Cugliandolo and J. Kurchan, Phys. Rev. Lett. 71, 173 (1993).
31. L. Caiani, L. Casetti, C. Clementi, and M. Pettini, Phys. Rev. Lett. 79, 4361 (1997).
32. L. Caiani, L. Casetti, C. Clementi, G. Pettini, M. Pettini, and R. Gatto, Phys. Rev. E 57, 3886 (1998).