Replica cluster variational method

Journal of Statistical Physics

Volumn 139, Issue 3, 2010, Pages 375-416

  Rizzo, Tommaso ^a,c   Lage Castellanos, Alejandro ^b   Mulet, Roberto ^b   Ricci Tersenghi, Federico ^c  

^a MUSEO STORICO DELLA FISICA E CENTRO STUDI E RICERCHE ENRICO FERMI   (Italy)

^b UNIVERSITY OF HAVANA   (Cuba)

^c SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Cluster variation method; Replica method; Spin glasses

Indexed keywords

EID: 77951878000     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-010-9938-3     Document Type: Article

References (54)

1. Mézard, M., Parisi, G.: Eur. Phys. J. B 20, 217 (2001).
2. Mézard, M., Parisi, G.: J. Stat. Phys. 111, 1 (2003).
3. Mézard, M., Zecchina, R.: Phys. Rev. E 66, 056126 (2002).
4. Mézard, M., Parisi, G., Zecchina, R.: Science 297, 812 (2002).
5. Kabashima, Y., Saad, D.: Europhys. Lett. 44, 668-674 (1998).
6. Yedidia, J. S., Freeman, W. T., Weiss, Y.: Adv. Neural Inf. Process. Syst. (NIPS) 13, 689 (2000).
7. Yedidia, J. S., Freeman, W. T., Weis, Y.: IEEE Trans. Inf. Theory 51, 2282 (2005).
8. Kikuchi, R.: Phys. Rev. 81, 988 (1951).
9. Morita, T., Suzuki, M., Wada, K., Kaburagi, M. (eds.): Foundations and Applications of Cluster Variation Method and Path Probability Method. Prog. Theor. Phys. Suppl., vol. 115 (1994).
10. Hartmann, A. K., Young, A. P.: Phys. Rev. B 64, 180404(R) (2001).
11. Jörg, T., Lukic, J., Marinari, E., Martin, O. C.: Phys. Rev. Lett. 96, 237205 (2006).
12. Ballesteros, H. G., et al.: Phys. Rev. B 61, 3215 (2000).
13. Katsura, S., Fujiki, S.: J. Phys. C, Solid State Phys. 13, 4711 (1980).
14. Fujiki, S., Katsura, S.: J. Phys. C, Solid State Phys. 13, 4723 (1980).
15. Katsura, S., Nagahara, I.: J. Phys. C, Solid State Phys. 13, 4995 (1980).
16. Mézard, M., Parisi, G., Virasoro, M. A.: Spin Glass Theory and Beyond. World Scientific, Singapore (1987).
17. Crisanti, A., Paladin, G., Sommers, H.-J., Vulpiani, A.: J. Phys. I France 2, 1325 (1992).
18. Parisi, G., Rizzo, T.: Phys. Rev. Lett. 101, 117205 (2008).
19. Pelizzola, A.: J. Phys. A 38, R309 (2005).
20. Goldschmidt, Y., De Dominicis, C.: Phys. Rev. B 41, 2186 (1989).
21. Monasson, R.: J. Phys. A 31, 513 (1998).
22. Parisi, G., Rizzo, T.: J. Phys. A, Math. Theor. 43, 045001 (2010).
23. Ohzeki, M., Nishimori, H.: J. Phys. A, Math. Theor. 42, 332001 (2009).
24. Palmer, R. G., Adler, J.: Int. J. Mod. Phys. C 10, 667 (1999).
25. Campbell, I. A., Hartmann, A. K., Katzgraber, H. G.: Phys. Rev. B 70, 054429 (2004).
26. Boettcher, S.: Phys. Rev. B 67, 060403 (2003).
27. Boettcher, S.: Eur. Phys. J. B 31, 29 (2003).
28. Blackman, J. A., Goncalves, J. R., Poulter, J.: Phys. Rev. E 58, 1502 (1998).
29. Lukic, J., Galluccio, A., Marinari, E., Martin, O. C., Rinaldi, G.: Phys. Rev. Lett. 92, 117202 (2004).
30. Pelizzola, A.: Phys. Rev. B 61, 11510 (2000).
31. Poulter, J., Blackman, J. A.: J. Phys. A 34, 7527 (2001).
32. Aromsawa, A.: Ph. D. Thesis, Mahidol University (2007).
33. Parisi, G., Rizzo, T.: Phys. Rev. B 79, 134205 (2009).
34. Aspelmeier, T., Billoire, A., Marinari, E., Moore, M. A.: J. Phys. A, Math. Theor. 41, 324008 (2008).
35. Bouchaud, J.-P., Krzakala, F., Martin, O. C.: Phys. Rev. B 68, 224404 (2003).
36. Wehr, J., Aizenman, M.: J. Stat. Phys. 60, 287 (1990).
37. Temesvari, T.: Nucl. Phys. B 829, 534 (2010).
38. Aspelmeier, T., Moore, M. A.: Phys. Rev. Lett. 90, 177201 (2003).
39. Wang, J.-S., Swendsen, R. H.: Phys. Rev. B 38, 4840 (1988).
40. Saul, L., Kardar, M.: Phys. Rev. E 48, R3221 (1993).
41. Saul, L., Kardar, M.: Nucl. Phys. B 432, 641 (1994).
42. Wang, J.-S.: Phys. Rev. E 72, 036706 (2005).
43. Katzgraber, H. G., Lee, L. W., Campbell, I. A.: cond-mat/0510668 (2005).
44. Atisattapong, W., Poulter, J.: New J. Phys. 10, 093012 (2008).
45. Katzgraber, H. G., Lee, L. W., Campbell, I. A.: Phys. Rev. B 75, 014412 (2007).
46. Atisattapong, W., Poulter, J.: New J. Phys. 11, 063039 (2009).
47. Pelizzola, A., Pretti, M.: Phys. Rev. B 60, 10134 (1999).
48. Marinari, E., Zuliani, F.: J. Phys. A, Math. Gen. 32, 7447 (1999).
49. Klein, L., Adler, J., Aharony, A., Harris, A. B., Meir, Y.: Phys. Rev. B 43, 11249 (1991).
50. Daboul, D., Chang, I., Aharony, A.: Eur. Phys. J. B 41, 231 (2004).
51. Georges, A., Mézard, M., Yedidia, J. S.: Phys. Rev. Lett. 64, 2937 (1990).
52. Goldschmidt, Y. Y., Lai, P.-Y.: J. Phys. A 23, L775 (1990).
53. Semerjian, G.: J. Stat. Phys. 130, 251 (2008).
54. Kabashima, Y.: J. Phys. Soc. Jpn. 74, 2133 (2005).