Ground-state entropy of ±J Ising lattices by Monte Carlo simulations

Journal of Statistical Physics

Volumn 114, Issue 5-6, 2004, Pages 1325-1341

  Roma F ^a   Nieto, F ^a   Vogel, E E ^b   Ramirez Pastor, A J ^a  

^a UNIVERSIDAD NACIONAL DE SAN LUIS   (Argentina)

^b UNIVERSIDAD DE LA FRONTERA   (Chile)

Author keywords

Frustration; Monte Carlo method; Remnant entropy; Thermodynamic integration; J Hamiltonian

Indexed keywords

EID: 3543016801     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/b:joss.0000013967.52237.6e     Document Type: Article

References (44)

1. K. Binder and A. P. Young, Rev. Mod. Phys. 58:801 (1986).
2. M. Mezard, G. Parisi, and M. A. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1987).
3. E. E. Vogel, J. Cartes, S. Contreras, W. Lebrecht, and J. Villegas, Phys. Rev. B 49:6018 (1994).
4. A. J. Ramirez-Pastor, F. Nieto, and E. E. Vogel, Phys. Rev. B 55:14323 (1997).
5. E. E. Vogel, S. Contreras, M. A. Osorio, J. Cartes, F. Nieto, and A. J. Ramirez-Pastor, Phys. Rev. B 58:8475 (1998).
6. A. J. Ramirez-Pastor, F. Nieto, S. Contreras, and E. E. Vogel, Physica A 283:94 (2000).
7. A. J. Ramirez-Pastor, F. Nieto, and E. E. Vogel, Physica A 310:384 (2002).
8. A. K. Hartmann, Europhys. Lett. 40:429 (1997).
9. M. A. Moore, H. Bokil, and B. Drossel, Phys. Rev. Lett. 81:4252 (1998).
10. M. Palassini and A. P. Young, Phys. Rev. Lett. 83:5126 (1999).
11. K. F. Pál, Physica A 223:283 (1996).
12. A. K. Hartmann, Physica A 224:480 (1996).
13. A. K. Hartmann, J. Phys. A: Math. Gen. 33:657 (2000).
14. Z. F. Zhan, L. W. Lee, and J.-S. Wang, Physica A 285:239 (2000).
15. G. Hed, A. K. Hartmann, D. Stauffer, and E. Domany, Phys. Rev. Lett. 86:3148 (2001).
16. S. Kirkpatrick, Phys. Rev. B 16:4630 (1977).
17. J. Vannimenus and G. Toulouse, J. Phys. C 10:L537 (1977).
18. I. Morgenstern and K. Binder, Phys. Rev. B 22:288 (1980).
19. H.-F. Cheung and W. L. McMillan, J. Phys. C 16:7027 (1983).
20. A. J. Kolan and R. G. Palmer, J. Appl. Phys. 53:2198 (1982).
21. A. K. Hartmann, Phys. Rev. E 63:016106 (2001).
22. K. Binder, The Monte Carlo method for the study of phase transitions: A review of some recent progress, J. Comput. Phys. 59:1 (1985).
23. S. F. Edwards and P. W. Anderson, J. Phys. F 5:965 (1975); G. Toulouse, Commun. Phys. 2:115 (1977).
24. S. F. Edwards and P. W. Anderson, J. Phys. F 5:965 (1975); G. Toulouse, Commun. Phys. 2:115 (1977).
25. I. Morgenstern and K. Binder, Phys. Rev. Lett. 43:1615 (1979).
26. K. H. Fisher and J. A. Hertz, Spin Glasses, Cambridge Studies in Magnetism I (Cambridge University Press, Cambridge, 1991).
27. Z. Salsburg, J. Jacobsen, W. Fickett, and W. Wood, J. Chem. Phys. 30:65 (1959).
28. S. K. Ma, J. Stat. Phys. 26:221 (1981).
29. Z. Alexandrowicz, J. Chem. Phys. 55:2765 (1971).
30. H. Meirovitch, Chem. Phys. Lett. 45:389 (1977).
31. C. H. Bennett, J. Comput. Phys. 22:245 (1976).
32. J. P. Valleau and D. N. Card, J. Chem. Phys. 57:5457 (1972).
33. G. Torrie and J. P. Valleau, Chem. Phys. Lett. 28:578 (1974).
34. K. Binder, J. Stat. Phys. 24:69 (1981); Z. Phys. B 45:61 (1981).
35. K. Binder, J. Stat. Phys. 24:69 (1981); Z. Phys. B 45:61 (1981).
36. T. L. Polgreen, Phys. Rev. B 29:1468 (1984).
37. F. Romá, A. J. Ramirez-Pastor, and J. L. Riccardo, Langmuir 16:9406 (2000).
38. F. Romá, A. J. Ramirez-Pastor, and J. L. Riccardo, J. Chem. Phys. 114:10932 (2001).
39. K. Kawasaki, in Phase Transitions and Critical Phenomena, Vol. 2, C. Domb and M. Green, eds. (Academic, London, 1972).
40. N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, J. Chem. Phys. 21:1087 (1953).
41. K. Binder, Applications of the Monte Carlo Method in Statistical Physics. Topics in Current Physics, Vol. 36 (Springer, Berlin, 1984), p. 23.
42. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C++, 2nd edn. (Cambridge University Press, London, 2002).
43. R. Brout, Phys. Rev. 115:824 (1959).
44. R. G. Palmer and J. Adler, Int. J. Mod. Phys. C 10:667 (1999).