Ising spin glass models versus Ising models: An effective mapping at high temperature: III. Rigorous formulation and detailed proof for general graphs

Journal of Statistical Mechanics: Theory and Experiment

Volumn , Issue 9, 2007, Pages

  Ostilli, Massimo ^a,b  

^a UNIVERSITY OF AVEIRO   (Portugal)

^b INFM   (Italy)

Author keywords

Disordered systems (theory); Networks; Phase diagrams (theory); Random graphs; Spin glasses (theory)

Indexed keywords

EID: 36148967631     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2007/09/P09010     Document Type: Article

References (19)

1. Ostilli M 2006 J. Stat. Mech. P10004
2. Sherrington D and Kirkpatrick S 1975 Phys. Rev. Lett. 35 1792
3. Mezard M, Parisi G and Virasoro M A 1987 Spin Glass Theory and Beyond (Singapore: World Scientific)
4. Ostilli M 2006 J. Stat. Mech. P10005
5. Montanari A and Rizzo T 2005 J. Stat. Mech. P10011
6. Parisi G and Slanina F 2006 J. Stat. Mech. L02003
7. Chertkov M and Chernyak V Y 2006 J. Stat. Mech. P06009
8. Baxter R J 1982 Exact Solved Models in Statistical Mechanics (London: Academic)
9. Ostilli M 2007 in preparation
10. See section 2 of Mezard M and Parisi G 2001 Eur. Phys. J. B 20 217
11. Dorogovtsev S N and Mendes J F F 2003 Evolution of Networks (Oxford: University Press)
12. Dorogovtsev S N, Mendes J F F and Samukhin A N 2003 Nucl. Phys. B 666 396
13. Dorogovtsev S N and Samukhin A N 2003 Phys. Rev. E 67 037103
14. Benettin G, Gallavotti G, Jona-Lasinio G and Stella A L 1973 Commun. Math. Phys. 30 45
15. Domb C 1960 Advan. Phys. 9 (34 and 35)
16. Van Hemmen J L and Palmer R G 1979 J. Phys. A: Math. Gen. 12 563
17. Fisher M and Gaunt D 1964 Phys. Rev. A 133 224
18. Nishimori H 1980 J. Phys. C: Solid State Phys. 13 4071
19. Ostilli M, Mukhamedov F and Mendes J F 2006 Preprint cond-mat/0611654