Flowing sand - A possible physical realization of directed percolation

Journal of Statistical Physics

Volumn 98, Issue 5-6, 2000, Pages 1149-1168

  Hinrichsen, Haye ^a   Jiménez Dalmaroni, Andrea ^b,c   Rozov, Yadin ^b   Domany, Eytan ^b  

^a MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^b WEIZMANN INSTITUTE OF SCIENCE   (Israel)

^c UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

Directed percolation; Nonequilibrium phase transitions; Sandpiles

Indexed keywords

EID: 0034339659     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1018667712578     Document Type: Article

References (24)

1. W. Kinzel, in Percolation Structures and Processes, G. Deutscher, R. Zallen, and J. Adler, eds., Ann. Isr. Phys. Soc., Vol. 5 (Adam Hilger, Bristol, 1983), p. 425.
2. Currently the most precise estimates for the DP exponents in 1 + 1 dimensions are given in: I. Jensen, J. Phys. A 32:5233.
3. P. Grassberger, Directed percolation: Results and open problems, in Nonlinearities in Complex Systems (1996), Proceedings of the 1995 Shimla Conference on Complex Systems.
4. S. Douady and A. Daerr, Physics of Dry Granular Media, H. J. Herrmann et al., eds. (Kluwer Academic Publishers, NY, 1998), p. 339.
5. A. Daerr and S. Douady, Nature 399:241 (1999).
6. H. Hinrichsen, A. Jiménez-Dalmaroni, Y. Rozov, and E. Domany, preprint cond-mat/ 9908103; Phys. Rev. Lett. 83:4999 (1999).
7. H. Hinrichsen, A. Jiménez-Dalmaroni, Y. Rozov, and E. Domany, preprint cond-mat/ 9908103; Phys. Rev. Lett. 83:4999 (1999).
8. E. Domany and W. Kinzel, Phys. Rev. Lett. 53:311 (1984).
9. B. Tadic and D. Dhar, Phys. Rev. Lett. 79:1519 (1997).
10. P. Bak. C. Tang, and K. Wiesenfeld, Phys. Rev. Lett. 59:381 (1987).
11. R. Dickman and A. Yu. Tretyakov, Phys. Rev. E 52:3218 (1995).
12. H. K. Janssen, Z. Phys. B 42:151 (1981): P. Grassberger, Z. Phys. B 47:365 (1982).
13. H. K. Janssen, Z. Phys. B 42:151 (1981): P. Grassberger, Z. Phys. B 47:365 (1982).
14. P. Grassberger and A. de la Torre, Ann. Phys. (N. Y.) 122:373 (1979).
15. J. F. F. Mendes, R. Dickman, and H. Herrmann, Phys. Rev. E 54:R3071 (1996).
16. A. G. Moreira and R. Dickman, Phys. Rev. E 54:1 (1996); R. Dickman and A. G. Moreira, Phys. Rev. Lett. 57:1263 (1998).
17. A. G. Moreira and R. Dickman, Phys. Rev. E 54:1 (1996); R. Dickman and A. G. Moreira, Phys. Rev. Lett. 57:1263 (1998).
18. H. K. Janssen, Phys. Rev. E 55:6253 (1997).
19. R. Cafiero, A. Gabrielli, and M. A. Muñoz, Phys. Rev. E 57:5060 (1998).
20. I. Webman, D. ben-Avraham, A. Cohen, and S. Havlin, Phil. Mag. B 77, 1401 (1998).
21. I. Jensen, Phys. Rev. Lett. 77:4988 (1996).
22. H. K. Janssen, Z. Phys. B 42:151 (1981).
23. S. Dippel, G. G. Batrouni, and D. E. Wolf, Phys. Rev. E 54:6845 (1996).
24. J. P. Bouchaud and M. E. Cates, Granular Matter 1:101 (1998).