Thermodynamical behavior of aperiodic Ising models on hierarchical lattices

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

Volumn 59, Issue 1, 1999, Pages 150-157

  Andrade, R F S ^a  

^a FEDERAL UNIVERSITY OF BAHIA   (Brazil)

Author keywords

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Indexed keywords

EID: 0001333493     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.59.150     Document Type: Article

References (23)

1. First reference on the subject is Y. Gefen, B. B. Mandelbrot, and A. Aharony, Phys. Rev. Lett. 45, 855 (1980);A vast literature on magnetic models on fractals is now available.
2. A. N. Berker and S. Ostlund, J. Phys. C 12, 4961 (1979).
3. M. Kaufman and R. B. Griffiths, Phys. Rev. B 24, 496 (1981).
4. U. Grimm and M. Baake, in The Mathematics of Long Range Aperiodic Order, edited by R. V. Moody (Kluwer Academic, Amsterdam, 1997), pp. 199–237.
5. J. R. Melrose, J. Phys. A 16, 1041 (1983)
6. J. Phys. AJ. R. Melrose16, 3077 (1983).
7. R. B. Griffiths and M. Kaufman, Phys. Rev. B 26, 5022 (1982)
8. Phys. Rev. BM. Kaufman and R. B. Griffiths, 30, 244 (1984).
9. C. Tsallis and A. C. N. de Magalhães, Phys. Rep. 268, 305 (1996).
10. M. Kohmoto, L. P. Kadanoff, and C. Tang, Phys. Rev. Lett. 50, 1870 (1983)
11. Phys. Rev. Lett.S. Ostlund, R. Pandit, D. Rand, H. J. Schellnhuber, and E. D. Siggia, 50, 1873 (1983).
12. J. M. Luck, Europhys. Lett. 24, 359 (1993)
13. J. M. LuckJ. Stat. Phys. 72, 417 (1993).
14. S. T. R. de Pinho, T. A. S. Haddad, and S. R. Salinas, Braz. J. Phys. 27, 567 (1997)
15. S. T. R. de PinhoT. A. S. HaddadS. R. SalinasPhysica A 257, 515 (1998).
16. A. C. N. de Magalhães, S. R. Salinas, and C. Tsallis, J. Phys. A 31, L567 (1998).
17. R. F. S. Andrade and H. S. Schellnhuber, Europhys. Lett. 10, 73 (1989).
18. A. Crisanti, G. Paladin, and A. Vulpiani, Products of Random Matrices in Statistical Physics (Springer-Verlag, Berlin, 1996).
19. R. F. S. Andrade, Physica A 193, 29 (1993)
20. R. F. S. AndradePhys. Rev. B 48, 16 095 (1993).
21. P. M. Bleher and E. Zalys, Commun. Math. Phys. 120, 409 (1989).
22. M. Kaufman and R. B. Griffiths, J. Phys. A 15, L239 (1982).
23. P. E. Berché and B. Berché, J. Phys. A 30, 1347 (1997).