Bak-Sneppen model near zero dimension

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

Volumn 62, Issue 1 A, 2000, Pages 295-298

  Dorogovtsev, S N ^a,b   Mendes, J F F ^a   Pogorelov, Yu G ^a  

^a UNIVERSITY OF PORTO   (Portugal)

^b IOFFE INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS;

BAK-SNEPPEN MODEL;

STATISTICAL MECHANICS;

EID: 0034230349     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.295     Document Type: Article

References (19)

1. P. Bak and K. Sneppen, Phys. Rev. Lett. 71, 4083 (1993).
2. P. Bak, How Nature Works (Copernicus, New York, 1997).
3. M. Paczuski, S. Maslov, and P. Bak, Phys. Rev. E 53, 414 (1996).
4. S. Maslov, Phys. Rev. Lett. 74, 562 (1995).
5. H. Flyvbjerg, K. Sneppen, and P. Bak, Phys. Rev. Lett. 71, 4087 (1993).
6. J. de Boer, B. Derrida, H. Flyvbjerg, A.D. Jackson, and T. Wettig, Phys. Rev. Lett. 73, 906 (1994).
7. J. de Boer, A.D. Jackson, and T. Wettig, Phys. Rev. E 51, 1059 (1995); M. Marsili, Europhys. Lett. 28, 385 (1994).
8. J. de Boer, A.D. Jackson, and T. Wettig, Phys. Rev. E 51, 1059 (1995); M. Marsili, Europhys. Lett. 28, 385 (1994).
9. P. De Los Rios, M. Marsili, and M. Vendruscolo, Phys. Rev. Lett. 80, 5746 (1998).
10. S. Boettcher and M. Paczuski, Phys. Rev. Lett. 84, 2267 (2000).
11. S. Maslov, Phys. Rev. Lett. 77, 1182 (1996).
12. M. Marsili, P. De Los Rios, and S. Maslov, Phys. Rev. Lett. 80, 1457 (1998).
13. P. Grassberger, Phys. Lett. A 200, 277 (1995).
14. c , which is not interesting to us, depends on the particular form of the distribution P(f).
15. A.A. Samarskii, V.A. Galaktionov, S.P. Kurdjumov, and A.P. Mikhailov, Blow-up in Quasilinear Parabolic Equations (de Gruyter, New York, 1995).
16. S. Maslov, P. De Los Rios, M. Marsili, and Y.-C. Zhang, Phys. Rev. E 58, 7141 (1998).
17. One may show that the result σ(μ) will be the same if we omit the factor Γ(1 - μ) in Eqs. (10) and (12).
18. M. Vendruscolo, P. De Los Rios, and L. Bonesi, Phys. Rev. E 54, 6053 (1996).
19. D.A. Head and G.J. Rodgers, J. Phys. A 31, 3977 (1998).