Some exact results on the ultrametric overlap distribution in mean field spin glass models (I)

European Physical Journal B

Volumn 17, Issue 3, 2000, Pages 439-447

  Baffioni, F ^a   Rosati, F ^a  

^a UNIVERSITY OF ROME TOR VERGATA   (Italy)

Author keywords

05.20. y Classical statistical mechanics; 64.70.Pf Glass transitions; 75.10.Nr Spin glass and other random models

Indexed keywords

EID: 0001433229     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100510070123     Document Type: Article

References (17)

1. S. Kirkpatrick, D. Sherrington, Phys. Rev. B 17, 4384 (1978).
2. M. Mezard, G. Parisi, M.A. Virasoro, Spin Glass Theory and Beyond (World Scientific, 1986).
3. L. Pastur, M. Shcherbina, J. Stat. Phys. 62, 1 (1992).
4. M. Shcherbina, Helv. Phys. Acta 70, 838-853 (1997).
5. F. Guerra, Fluctuation and Thermodynamic variables in Mean Field Glass in Stochastic Processes, Physics and Geometry, II, edited by S. Albeverio et al. (World Scientific, Singapore, 1995); also avalaible through http://romagtc.roma1.infn.it.
6. F. Guerra, Functional Order Parameters for the Quenched Free in Mean Field Spin Glass Models in Field Theory and Collective Phenomena, edited by S. De Lillo et al. (World Scientific, Singapore, 1995).
7. F. Guerra, The Cavity Method in the Mean Field Spin Glass Model in Advances in Dynamical Systems and Quantum Physicsa edited by S. Albeverio et al. (World Scientific, Singapore, 1995).
8. F. Guerra, Int. J. Mod. Phys. B 10, 1675-1684 (1996).
9. M. Talagrand, Prob. Rel. Fields, 110, 109 (1998); M. Talagrand, Ann. Prob, (to appear).
10. M. Talagrand, Prob. Rel. Fields, 110, 109 (1998); M. Talagrand, Ann. Prob, (to appear).
11. F. Guerra, On the mean field spin glass model, in preparation.
12. S. Ghirlanda, F. Guerra, J. Phys. A 31, 9149 (1998); S. Ghirlanda, Thesis Università di Roma "La Sapienza" (in Italian), December 1996.
13. S. Ghirlanda, F. Guerra, J. Phys. A 31, 9149 (1998); S. Ghirlanda, Thesis Università di Roma "La Sapienza" (in Italian), December 1996.
14. G. Parisi, On the probabilistic formulation of the replica approach to spin glasses, cond-mat/9801081, (1998).
15. M. Aizenmann, P. Contucci, J. Stat. Phys. 92, 765 (1998).
16. E. Marinari, G. Parisi, J.J. Ruiz-Lorenzo, Numerical Simulations of Spin Glass Systems, in Spin Glasses and Random Fields, edited by A.P. Young (World Scientific, Singapore, 1998), and cond-mat/9701016; A. Billoire, E. Marinari, cond-mat/9910352.
17. E. Marinari, G. Parisi, F. Ricci Tersenghi, J. Ruiz Lorenzo, F. Zuliani, J. Stat. Phys. (to be published) cond-mat/9906076.