Short-range Ising spin glass: Multifractal properties

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 55, Issue 4, 1997, Pages 3934-3941

  Nogueira, E ^a   Coutinho, S ^b   Nobre, F D ^a   Curado, E M F ^c   de Almeida, J R L ^b  

^a FEDERAL UNIVERSITY OF RIO GRANDE DO NORTE   (Brazil)

^b FEDERAL UNIVERSITY OF PERNAMBUCO   (Brazil)

^c CENTRO BRASILEIRO DE PESQUISAS FÍSICAS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0004180650     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.55.3934     Document Type: Article

References (45)

1. For reviews, see, for example, K. Binder and A P. Young, Rev. Mod. Phys.58, 801 (1986);
2. D. Chowdury and A. Moorkejee, Phys. Rep.114, 1 (1984);
3. A J. Bray, Comments Condens. Matter. Phys.14, 21 (1988);
4. M. M`ezard, G. Parisi, and M A. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1987);
5. K H. Fischer and J A. Hertz, Spin Glasses (Cambridge University Press, Cambridge, 1991).
6. G. Parisi, Phys. Rev. Lett.43, 1754 (1979);
7. G. Parisi, Phys. Rev. Lett.50, 1946 (1983);
8. M. M`ezard, G. Parisi, N. Sourlas, G. Thoulouse and M. Virasoro, J. Phys. (Paris)45, 843 (1984).
9. D. Sherrington and S. Kirkpatrick, Phys. Rev. Lett.5, 965 (1975).
10. Vertechi and M. Virasoro, J. Phys. (Paris)50, 2325 (1989).
11. J. R. L. de Almeida and D J. Thouless, J. Phys. A11, 983 (1978).
12. A J. Bray, J. Phys. C15, L57 (1982).
13. D S. Fisher and D A. Huse, Phys. Rev. Lett.56, 1601 (1986);
14. D S. Fisher and D A. Huse, Phys. Rev. B39, 373 (1988).
15. J D. Reger, R N. Bhatt and A P. Young, Phys. Rev. Lett.64, 1859 (1990);
16. A. Georges, M. M`ezard and J S. Yedidia, Phys. Rev. Lett.ibid. 64, 2937 (1990);
17. E R. Grannan and R E. Hetzel, Phys. Rev. Lett.ibid. 67, 907 (1991);
18. J. Wang and A P. Young, J. Phys. A26, 1063 (1993);
19. E. Marinari, G. Parisi, F. Ritort and J. J. Ruiz-Lorenzo, Phys. Rev. Lett.76, 843 (1996).
20. D J. Thouless, Phys. Rev. Lett.56, 1082 (1986).
21. P. Mottishaw, Europhys. Lett.4, 33 (1987);
22. Lai Pik-Yin and Y Y. Goldshmidth, J. Phys. A22, 399 (1989).
23. B W. Southern and A P. Young, J. Phys. C10, 2179 (1977).
24. J R. Banavar and A J. Bray, Phys. Rev. B35, 8888 (1987);
25. H J. Hilhorst and M. Nifle, Phys. Rev. Lett.68, 2992 (1992);
26. H J. Hilhorst and M. Nifle, Physica A193, 48 (1993).
27. M J. Thill and H J. Hilhorst, J. Phys. (France) I6, 67 (1996).
28. P M. Bleher and E. Zalys, Commun. Math. Phys.67, 17 (1979);
29. A N. Berker and S. Ostlund, J. Phys. C12, 4961 (1979).
30. W. A. M. Morgado, S. Coutinho and E. M. F. Curado, J. Stat. Phys.61, 913 (1990);
31. W. A. M. Morgado, S. Coutinho and E. M. F. Curado, Rev. Bras. Fis. (Brazil)21, 247 (1991).
32. O. Donato da Silva-Neto, M.Sc. thesis, Universidade Federal de Pernambuco, 1992 (unpublished).
33. L. da Silva, E. M. F. Curado, S. Coutinho and W. A. M. Morgado, Phys. Rev. B53, 6345 (1996).
34. T. M. C. Halsey, M H. Jensen, L P. Kadanoff, I. Procaccia and B I. Shraiman, Phys. Rev. A33, 1141 (1986).
35. See, for instance, T. Tél, Z. Naturforsh. Teil A43, 1154 (1988), and references therein.
36. M. Janssen, Int. J. Mod. Phys. B8, 943 (1994).
37. S. Coutinho, O. Donato-Neto, J. R. L. de Almeida, E. M. F. Curado and W. A. M. Morgado, Physica A185, 271 (1992);
38. S. Coutinho, J. R. L. de Almeida, and E. M. F. Curado, in Fractals in the Natural and Applied Sciences, edited by M. M. Novak (North-Holland, Amsterdam, 1994), p. 81.
39. E. M. F. Curado and J-L. Meunier, Physica A149, 164 (1988).
40. L. Bernardi and I A. Campbell, Phys. Rev. B49, 728 (1994).
41. E J. Hartford and S R. McKay, J. Appl. Phys.70, 6068 (1991).
42. See, for example, M E. Fisher, Phys. Rev.113, 969 (1959).
43. E. Nogueira-Jr., Ph.D. thesis, Universidade Federal de Pernambuco, 1996 (unpublished).
44. A. Chhabra and R V. Jensen, Phys. Rev. Lett.62, 1327 (1989).
45. D. Veneziano, G E. Moglen and R F. Bras, Phys. Rev. E52, 1387 (1995).