Monte Carlo renormalization-group approach to the Bak-Sneppen model

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

Volumn 55, Issue 3 SUPPL. B, 1997, Pages 3708-3711

  Mikeska, Bernhard ^a,b  

^a UNIVERSITY OF HAMBURG   (Germany)

^b Landestheater Tübingen   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347326334     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/physreve.55.3708     Document Type: Article

References (10)

1. P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. Lett. 59, 381 (1987).
2. P. Bak and K. Sneppen, Phys. Rev. Lett. 71, 4083 (1993).
3. M. Marsili, Europhys. Lett. 28, 385 (1994).
4. M. Marsili, J. Stat. Phys. 77, 733 (1994).
5. In the case of a(x) = b(x) = Θ(1-x)Θ(x) and replacing both the right and left neighbor of the active site this definition reduces to the original BS model [2].
6. P. Grassberger, Phys. Lett. A 200, 277 (1995).
7. M. Paczuski, S. Maslov, and P. Bak, Phys. Rev. E 53, 414 (1996).
8. B. Mikeska, Ph.D. thesis, Universität Hamburg, 1996 (obtainable from author: mikeska@x4u2.desy.de).
9. j,t(y), j≠i (using the notation of [3]) are not mutually independent and it is not allowed to multiply them to obtain the new conditional probability. See also A. Gabrielli et al., J. Stat. Phys. 84, 889 (1996).
10. The ensemble of N processes includes also the nonrelevant ones.