Universality classes of chaotic cellular automata

Brazilian Journal of Physics

Volumn 34, Issue 2 A, 2004, Pages 448-451

  Mattos, T G ^a   Moreira, J G ^a  

^a FEDERAL UNIVERSITY OF MINAS GERAIS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2942638348     PISSN: 01039733     EISSN: None     Source Type: Journal    
DOI: 10.1590/S0103-97332004000300024     Document Type: Conference Paper

References (19)

1. A.-L. Barabási and H. E. Stanley, Fractal Concepts in Surface Growth, Cambridge Univ. Press, Cambridge (1995)
2. P. Meakin, Fractals, Scaling and Growth Far from Equilibrium, Cambridge Univ. Press, Cambridge (1998).
3. P. Grassberg, J. Stat. Phys. 79, 13 (1995).
4. M. Kardar, G. Parisi, and Y.-C. Zhang, Phys. Rev. Lett. 56, 889 (1986).
5. S. F. Edwards and D. R. Wilkinson, Proc. R. Soc. A 381, 17 (1982).
6. F. Family, J. Phys. A 19, L441 (1986).
7. F. Family and T. Vicsek, J. Phys. A 18, L75 (1985).
8. J. Krug, P. Meakin, and T. Halpin-Healey, Phys. Rev. A 45, 638 (1992).
9. A. P. F. Atman, R. Dickman, and J. G. Moreira, Phys. Rev. E 66, 016113 (2002);
10. J. A. de Sales, M. L. Martins, and J. G. Moreira, J. Phys. A 32, 885 (1999).
11. A. P. F. Atman and J. G. Moreira, Eur. Phys. J. B 16, 501 (2000); Phys. Rev. E 67, 016107 (2003).
12. A. P. F. Atman and J. G. Moreira, Eur. Phys. J. B 16, 501 (2000); Phys. Rev. E 67, 016107 (2003).
13. A. Vespigniani, R. Dickman, M. A. Muñoz, and S. Zapperi, Phys. Rev. E 62, 4564 (2000); R. Dickman, M. Alava, M. A. Muñoz, J. Peltola, A. Vespigniani and S. Zapperi ibid 64, 056104 (2001)
14. A. Vespigniani, R. Dickman, M. A. Muñoz, and S. Zapperi, Phys. Rev. E 62, 4564 (2000); R. Dickman, M. Alava, M. A. Muñoz, J. Peltola, A. Vespigniani and S. Zapperi ibid 64, 056104 (2001)
15. R. Dickman, M. A. Muñoz, Phys. Rev. E 62, 7632 (2000).
16. S. Wolfram, Rev. Mod. Phys. 55, 601 (1983); S. Wolfram, Theory and Applications of Cellular Automata (World Scientific, Singapore, 1986).
17. S. Wolfram, Rev. Mod. Phys. 55, 601 (1983); S. Wolfram, Theory and Applications of Cellular Automata (World Scientific, Singapore, 1986).
18. Wolfram only studied the "legal" rules, that is, the rules which do not have spontaneous generation (if, at time t the local neighborhood is 000, the state at time t + 1 is 0) and they have simmetry (the configurations 110 and 011 or the configurations 100 and 001 have the same future).
19. C. Tsallis, in: L. Blum (Ed.), Condensed Matter Theories, Plenum, New York, 1992.