Height variables in the Abelian sandpile model: Scaling fields and correlations

Journal of Statistical Mechanics: Theory and Experiment

Volumn , Issue 10, 2006, Pages

  Jeng, Monwhea ^a,b   Piroux, Geoffroy ^c   Ruelle, Philippe ^c  

^a SOUTHERN ILLINOIS UNIVERSITY EDWARDSVILLE   (United States)

^b SYRACUSE UNIVERSITY   (United States)

^c UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

Conformal field theory; Sandpile models (theory)

Indexed keywords

EID: 34548864929     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2006/10/P10015     Document Type: Article

References (36)

1. Bak P 1997 How Nature Works (Oxford: Oxford University Press)
2. Jensen H J 1998 Self-Organized Criticality (Cambridge Lectures Notes in Physics vol 10) (Cambridge: Cambridge University Press)
3. Dhar D 2006 Physica A 369 29
4. Bak P, Tang C and Wiesenfeld K 1987 Phys. Rev. Lett. 59 381
5. Dhar D 1990 Phys. Rev. Lett. 64 1613
6. Dhar D 1990 Phys. Rev. Lett. 64 2837
7. Majumdar S N and Dhar D 1991 J. Phys. A: Math. Gen. 24 L357
8. Brankov J G, Ivashkevich E V and Priezzhev V B 1993 J. Physique I 3 1729
9. Mahieu S and Ruelle P 2001 Phys. Rev. E 64 066130
10. Jeng M 2005 Phys. Rev. E 71 016140
11. Moghimi-Araghi S, Rajabpour M A and Rouhani S 2005 Nucl. Phys. B 718 362
12. Priezzhev V B 1994 J. Stat. Phys. 74 955
13. Ivashkevich E V 1994 J. Phys. A: Math. Gen. 27 3643
14. Jeng M 2005 Phys. Rev. E 71 036153
15. Piroux G and Ruelle P 2005 J. Phys. A: Math. Gen. 38 1451
16. Ivashkevich E V, Ktitarev D V and Priezzhev V B 1994 Physica A 209 347
17. Dhar D and Manna S S 1994 Phys. Rev. E 54 2684
18. Ivashkevich E V, Ktitarev D V and Priezzhev V B 1994 J. Phys. A: Math. Gen. 27 L585
19. Priezzhev V B, Ivashkevich E V and Ktitarev D V 1996 Phys. Rev. Lett. 76 2093
20. Ktitarev D V and Priezzhev V B 1998 Phys. Rev. E 58 2883
21. Ruelle P 2002 Phys. Lett. B 539 172
22. Jeng M 2004 Phys. Rev. E 69 051302
23. Piroux G and Ruelle P 2004 J. Stat. Mech. P10005
24. Majumdar S N and Dhar D 1992 Physica A 185 129
25. Piroux G and Ruelle P 2005 Phys. Lett. B 607 188
26. Gurarie V 1993 Nucl. Phys. B 410 535
27. Gaberdiel M R and Kausch H G 1996 Phys. Lett. B 386 131
28. Gaberdiel M R and Kausch H G 1999 Nucl. Phys. B 538 631
29. Kausch H G 2000 Nucl. Phys. B 583 513
30. Spitzer F 1976 Principles of Random Walk 2nd edn (New York: Springer)
31. Flohr M 2003 Int. J. Mod. Phys. A 18 4497
32. Gaberdiel M R 2003 Int. J. Mod. Phys. A 18 4593
33. Cardy J L 1989 Nucl. Phys. B 324 581
34. Gurarie V, Flohr M and Nayak C 1997 Nucl. Phys. B 498 513
35. Gaberdiel M R and Runkel I 2006 The logarithmic triplet theory with boundary Preprint hep-th/0608184
36. Gaberdiel M R and Kausch H G 1996 Nucl. Phys. B 477 293