Transport on directed percolation clusters

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 63, Issue 2 II, 2001, Pages 1-4

  Janssen, Hans Karl ^a   Stenull, Olaf ^a  

^a HEINRICH HEINE UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 18344374897     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.025103     Document Type: Article

References (37)

1. For a review on percolation see, e.g., A. Bunde and S. Havlin, Fractals and Disordered Systems (Springer, Berlin, 1991); D. Stauffer and A. Aharony, Introduction to Percolation Theory (Taylor & Francis, London, 1992).
2. For a review on percolation see, e.g., A. Bunde and S. Havlin, Fractals and Disordered Systems (Springer, Berlin, 1991); D. Stauffer and A. Aharony, Introduction to Percolation Theory (Taylor & Francis, London, 1992).
3. For a review on DP see, e.g., H. Hinrichsen, e-print cond-mat/ 0001070.
4. N. Van Lien and B. I. Shklovskii, Solid State Commun. 38, 99 (1981).
5. J. Kertész and T. Vicsek, J. Phys. C 13, L343 (1980).
6. See, e.g., A.-L. Barabasi et al., in Surface Disordering: Growth, Roughening, and Phase Transitions, edited by R. Jullien et al. (Nova Science, New York, 1992); S. Havlin et al., in Growth Patterns, edited by J. M. Garcia-Ruiz et al. (Plenum, New York, 1993).
7. See, e.g., A.-L. Barabasi et al., in Surface Disordering: Growth, Roughening, and Phase Transitions, edited by R. Jullien et al. (Nova Science, New York, 1992); S. Havlin et al., in Growth Patterns, edited by J. M. Garcia-Ruiz et al. (Plenum, New York, 1993).
8. P. Grassberger, J. Phys. A 18, L215 (1985).
9. K. Sneppen and M. H. Jensen, Phys. Rev. Lett. 70, 3833 (1993); 71, 101 (1993); Phys. Rev. E 49, 919 (1994); P. Bak and K. Sneppen, Phys. Rev. Lett. 71, 4083 (1993); M. Paczuski, S. Maslov, and P. Bak, Europhys. Lett. 27, 97 (1994).
10. K. Sneppen and M. H. Jensen, Phys. Rev. Lett. 70, 3833 (1993); 71, 101 (1993); Phys. Rev. E 49, 919 (1994); P. Bak and K. Sneppen, Phys. Rev. Lett. 71, 4083 (1993); M. Paczuski, S. Maslov, and P. Bak, Europhys. Lett. 27, 97 (1994).
11. K. Sneppen and M. H. Jensen, Phys. Rev. Lett. 70, 3833 (1993); 71, 101 (1993); Phys. Rev. E 49, 919 (1994); P. Bak and K. Sneppen, Phys. Rev. Lett. 71, 4083 (1993); M. Paczuski, S. Maslov, and P. Bak, Europhys. Lett. 27, 97 (1994).
12. K. Sneppen and M. H. Jensen, Phys. Rev. Lett. 70, 3833 (1993); 71, 101 (1993); Phys. Rev. E 49, 919 (1994); P. Bak and K. Sneppen, Phys. Rev. Lett. 71, 4083 (1993); M. Paczuski, S. Maslov, and P. Bak, Europhys. Lett. 27, 97 (1994).
13. K. Sneppen and M. H. Jensen, Phys. Rev. Lett. 70, 3833 (1993); 71, 101 (1993); Phys. Rev. E 49, 919 (1994); P. Bak and K. Sneppen, Phys. Rev. Lett. 71, 4083 (1993); M. Paczuski, S. Maslov, and P. Bak, Europhys. Lett. 27, 97 (1994).
14. See the corresponding chapters in Refs. [1] and references therein.
15. O. Stenull, H. K. Janssen, and K. Oerding, Phys. Rev. E 59, 4919 (1999).
16. H. K. Janssen, O. Stenull, and K. Oerding, Phys. Rev. E 59, R6239 (1999).
17. H. K. Janssen and O. Stenull, Phys. Rev. E 61, 4821 (2000).
18. O. Stenull, Renormalized Field Theory of Random Resistor Networks (Shaker, Aachen, 2000).
19. O. Stenull and H. K. Janssen, Europhys. Lett. 51, 539 (2000).
20. S. Redner, J. Phys. A 14, L349 (1981); Phys. Rev. B 25, 3242 (1982).
21. S. Redner, J. Phys. A 14, L349 (1981); Phys. Rev. B 25, 3242 (1982).
22. S. Redner, in Percolation Structures and Processes, edited by G. Deutscher et al. (Adam Hilger, Bristol, 1983).
23. RDN were already contained implicitly in the pioneering work of S. R. Broadbent and J. M. Hammersley on percolation, Proc. Am. Philos. Soc. 53, 629 (1957).
24. H. K. Janssen and O. Stenull, Phys. Rev. E 62, 3137 (2000).
25. M. J. Stephen, Phys. Rev. B 17, 4444 (1978).
26. A. B. Harris, Phys. Rev. B 35, 5056 (1987).
27. See, e.g., A. B. Harris and T. C. Lubensky, Phys. Rev. B 35, 6964 (1987).
28. J. L. Cardy and R. L. Sugar, J. Phys. A 13, L423 (1980).
29. H. K. Janssen, Z. Phys. B: Condens. Matter 42, 151 (1981).
30. H. K. Janssen, e-print cond-mat/0006129.
31. See, e.g., D. J. Amit, Field Theory, the Renormalization Group, and Critical Phenomena (World Scientific, Singapore, 1984); J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Clarendon, Oxford, 1989).
32. See, e.g., D. J. Amit, Field Theory, the Renormalization Group, and Critical Phenomena (World Scientific, Singapore, 1984); J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Clarendon, Oxford, 1989).
33. T. C. Lubensky and J. Wang, Phys. Rev. B 33, 4998 (1985).
34. S. Redner and P. R. Mueller, Phys. Rev. B 26, 5293 (1982).
35. B. M. Arora, M. Barma, D. Dhar, and M. K. Phani, J. Phys. C 16, 2913 (1983).
36. See, e.g., J. Kertész and T. Vicsek, in Fractals in Science, edited by A. Bunde and S. Havlin (Springer, Berlin, 1994).
37. See, e.g., B. Hede, J. Kertész, and T. Vicsek, J. Stat. Phys. 64, 829 (1991).