Thermodynamics of fractal spectra: Cantor sets and quasiperiodic sequences

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

Volumn 61, Issue 3, 2000, Pages 2281-2289

  Carpena, P ^a,b   Coronado, A V ^b   Bernaola Galvan P ^b,c  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b UNIVERSITY OF MÁLAGA   (Spain)

^c Boston University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FRACTALS; THERMODYNAMICS; TOPOLOGY;

AVERAGE VALUES; FRACTAL SPECTRUM; LOG-PERIODIC OSCILLATIONS; MULTI-FRACTAL PROPERTY; OSCILLATORY REGIMES; QUASI-PERIODIC; SPECTRAL DIMENSIONS; TIGHT BINDING;

SPECIFIC HEAT;

EID: 0000236110     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.2281     Document Type: Article

References (19)

1. D. Shechtman, I. Blech, D. Gratias, and J. W. Cahn, Phys. Rev. Lett. 53, 1951 (1984).
2. R. Merlin, K. Bajema, R. Clarke, F. Y. Juang, and P. K. Bhatacharya, Phys. Rev. Lett. 55, 1768 (1985).
3. T. Hattori, T. Noriaki, S. Kawato, and H. Nakatsuka, Phys. Rev. B 50, 4220 (1994).
4. M. Kohmoto, L. P. Kadanoff, and C. Tang, Phys. Rev. Lett. 50, 1870 (1983).
5. M. Kohmoto and J. R. Banavar, Phys. Rev. B 34, 563 (1986).
6. M. Kohmoto, B. Sutherland, and C. Tang, Phys. Rev. B 35, 1020 (1987).
7. C. S. Ryu, G. Y. Oh, and M. H. Lee, Phys. Rev. B 48, 132 (1993).
8. E. Maciá, F. Domínguez-Adame, and A. Sánchez, Phys. Rev. B 49, 9503 (1994).
9. P. Carpena, V. Gasparian, and M. Ortuño, Phys. Rev. B 51, 12 813 (1995).
10. F. Piéchon, M. Benakli, and A. Jagannatan, Phys. Rev. Lett. 74, 5248 (1995).
11. P. Carpena, V. Gasparian, and M. Ortuño, Z. Phys. B: Condens. Matter 102, 425 (1997).
12. G. G. Naumis, Phys. Rev. B 59, 11 315 (1999).
13. C. Tsallis, L. R. da Silva, R. S. Mendes, R. O. Vallejos, and A. M. Mariz, Phys. Rev. E 56, R4922 (1997).
14. R. O. Vallejos, R. S. Mendes, L. R. da Silva, and C. Tsallis, Phys. Rev. E 58, 1346 (1998).
15. T. C. Halsey, M. H. Jensen, L. P. Kadanoff, I. Procaccia, and B. I. Shraiman, Phys. Rev. A 33, 1141 (1986).
16. A. Petri, A. Alippi, A. Bettucci, F. Cracium, F. Farrely, and E. Molinary, Phys. Rev. B 49, 15 067 (1994).
17. A. Petri and G. Ruocco, Phys. Rev. B 51, 11 399 (1995).
18. J. M. Luck and Th. M. Nieuwenhuizen, Europhys. Lett. 2, 256 (1987).
19. D. Badalian, V. Gasparian, R. Abramian, A. Khachatrian, and U. Gummich, Physica B 226, 385 (1996).