Extended variational principle for the Sherrington-Kirkpatrick spin-glass model

Physical Review B - Condensed Matter and Materials Physics

Volumn 68, Issue 21, 2003, Pages

  Aizenman, Michael ^a   Sims, Robert ^a   Starr, Shannon L ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GLASS;

ARTICLE; CALCULATION; ENERGY; MODEL; THERMODYNAMICS; VALIDATION PROCESS;

EID: 1642452967     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.68.214403     Document Type: Article

References (16)

1. D. Sherrington and S. Kirkpatrick, Phys. Rev. Lett. 35, 1792 (1975).
2. G. Parisi, J. Phys. A 13, 1101 (1980).
3. M. Mezard, G. Parisi, and M. Virasoro, Spin Glass Theory and Beyond, World Scientific Lecture Notes in Physics Vol. 9 (World Scientific, Teaneck, NJ, 1987).
4. F. Guerra, Commun. Math. Phys. 233, 1 (2003).
5. D. Ruelle, Commun. Math. Phys. 108, 225 (1987).
6. B. Derrida, Phys. Rev. B 24, 2613 (1981).
7. F. Guerra and F. Toninelli, Markov Proc. Rel. Fields 9, 195 (2003).
8. F. Guerra and F. Toninelli, Commun. Math. Phys. 230, 71 (2002).
9. P. Contucci, M. Degli Esposti, C. Giardina, and S. Graffi, Commun. Math. Phys. 236, 55 (2003).
10. A. Ruzmaikina and M. Aizenman (unpublished).
11. M. Aizenman, J. Lebowitz, and D. Ruelle, Commun. Math. Phys. 112, 3 (1987).
12. J. Fröhlich and B. Zegarlinski, Commun. Math. Phys. 112, 553 (1987).
13. L.A. Pastur and M.V. Shcherbina, J. Stat. Phys. 62, 1 (1991).
14. F.L. Toninelli, Europhys. Lett. 60, 764 (2002).
15. M. Talagrand, Spin Glasses: A Challenge for Mathematicians (Springer-Verlag, Berlin, 2003).
16. C. Newman and D. Stein, cond-mat/0301202.