Critical properties of the Ising model on Sierpinski fractals: A finite-size scaling-analysis approach

Physical Review B - Condensed Matter and Materials Physics

Volumn 58, Issue 21, 1998, Pages 14387-14396

  Carmona, José M ^a   Marconi, Umberto Marini Bettolo ^b  

^a UNIVERSITY OF ZARAGOZA   (Spain)

^b UNIVERSITY OF CAMERINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000596067     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.58.14387     Document Type: Article

References (22)

1. The spherical model has been recently studied by U. Marini Bettolo Marconi and A. Petri, Phys. Rev. E 55, 1311 (1997).
2. U. Marini Bettolo MarconiA. PetriJ. Phys. A 30, 1069 (1997).
3. U. Marini Bettolo MarconiA. PetriPhilos. Mag. B 77, 265 (1998).
4. U. Marini Bettolo Marconi, Phys. Rev. E 57, 1290 (1998).
5. G. Parisi and J. J. Riuz-Lorenzo, J. Phys. A 28, L395 (1995).
6. H. G. Ballesteros et. al hep-lat/9707017 (unpublished).
7. H. G. BallesterosNucl. Phys. B 512, 681 (1998).
8. J. J. Ruiz-Lorenzo, J. Phys. A 30, 485 (1997).
9. J. Phys. AH. G. Ballesteros et. al 30, 8379 (1997).
10. D. Stauffer and A. Aharony, Introduction to the Percolation Theory, 2nd ed. (Taylor and Francis, London, 1994).
11. G. Martinelli and G. Parisi, Nucl. Phys. B 180(FS), 201 (1981).
12. E. Brézin, J. Phys. (France) 43, 15 (1982).
13. M. E. Fisher and M. N. Barber, Phys. Rev. Lett. 28, 1516 (1972).
14. M. Falcioni, E. Marinari, M. L. Paciello, G. Parisi, and B. Taglienti, Phys. Lett. 108B, 331 (1982).
15. A. M. Ferrenberg and R. H. Swendsen, Phys. Rev. Lett. 61, 2635 (1988).
16. U. Wolff, Phys. Rev. Lett. 62, 361 (1989).
17. R. H. Swendsen and J. S. Wang, Phys. Rev. Lett. 58, 86 (1987).
18. B. Bonnier, Y. Leroyer, and C. Meyers, Phys. Rev. B 37, 5205 (1988).
19. G. Parisi and J. J. Ruiz-Lorenzo, Phys. Rev. B 54, 3698 (1996).
20. Phys. Rev. BG. ParisiJ. J. Ruiz-Lorenzo 55, 6082(E) (1997).
21. Y. K. Wu and B. Hu, Phys. Rev. A 35, 1404 (1987).
22. Y. Gefen, A. Aharony, and B. B. Mandelbrot, J. Phys. A 17, 1277 (1984), and references therein.