On the Aizenman exponent in critical percolation

JETP Letters

Volumn 76, Issue 7, 2002, Pages 475-480

  Shchur, L N ^a   Rostunov, T ^a  

^a LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040669530     PISSN: 00213640     EISSN: None     Source Type: Journal    
DOI: 10.1134/1.1528706     Document Type: Article

References (20)

1. M. Aizenman, Nucl. Phys. B 485, 551 (1997); cond-mat/9609240.
2. L. N. Shchur and S. S. Kosyakov, Int. J. Mod. Phys. C 8, 473 (1997): cond-mat/9702248.
3. J. Cardy, J. Phys. A 31, L105 (1998): cond-mat/9705137.
4. B. Duplantier, Phys. Rev. Lett. 82, 880 (1999); cond-mat/9812439.
5. L. N. Shchur, in Computer Simulation Studies in Condensed-Matter Physics XII, Ed. by D. P. Landau, S. P. Lewis, and H.-B. Schüttler (Springer-Verlag, Heidelberg, 2000); cond-mat/9906013.
6. P. Grassberger, Comput. Phys. Commun. 147, 64 (2002); cond-mat/0201313; P. Grassberger and W. Nadler, cond-mat/0010265.
7. P. Grassberger, Comput. Phys. Commun. 147, 64 (2002); cond-mat/0201313; P. Grassberger and W. Nadler, cond-mat/0010265.
8. D. Stauffer and A. Aharony, Introduction to Percolation Theory (Taylor & Francis, London, 1992).
9. A. Bunde and S. Havlin, in Fractals and Disordered Systems, Ed. by A. Bunde and S. Havlin (Springer-Verlag, Berlin, 1996, 2nd ed.).
10. P. Sen, Int. J. Mod. Phys. C 8, 229 (1997); cond-mat/9704112.
11. J. Hoshen and R. Kopelman, Phys. Rev. B 14, 3438 (1976).
12. L. N. Shchur, Comput. Phys. Commun. 121-122, 83 (1999);hep-lat/0201015.
13. S. Smirnov, C. R. Acad. Sci., Ser. I 333, 239 (2001); http://www.math.kth.se/~stas/papers/percras.ps.
14. M. E. J. Newman and R. M. Ziff, Phys. Rev. Lett. 85, 4104 (2000); cond-mat/0005264.
15. C. D. Lorenz and R. M. Ziff, J. Phys. A 31, 8147 (1998); cond-mat/9806224.
16. G. Paul, R. M. Ziff, and H. E. Stanley, Phys. Rev. E 64, 026115 (2001); cond-mat/0101136.
17. P. Grassberger, cond-mat/0202144.
18. R. M. Ziff, Phys. Rev. Lett. 69, 2670 (1992).
19. One could expect an increase in finite-size effects as k increases. Indeed, this was found by R. Ziff (private communication) in two dimensions for large values of k ≈ 10.
20. G. Andronico, A. Coniglio, and S. Fortunato, hep-lat/0208009.