How to discriminate easily between directed-percolation and Manna scaling

Physica A: Statistical Mechanics and its Applications

Volumn 384, Issue 1, 2007, Pages 89-93

  Bonachela, Juan A ^a,b   Muñoz, Miguel A ^a,b  

^a Departamento de Electromagnetismo y Física de la Materia   (Spain)

^b UNIVERSITY OF GRANADA   (Spain)

Author keywords

Critical phenomena; Self organization; Universality

Indexed keywords

BOUNDARY LAYERS; NUMERICAL ANALYSIS; PHASE TRANSITIONS; STATISTICAL MECHANICS;

CRITICAL PHENOMENA; SELF-ORGANIZATION; UNIVERSALITY;

PERCOLATION (COMPUTER STORAGE);

EID: 34547855847     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2007.04.110     Document Type: Article

References (36)

1. See, H. Hinrichsen, Adv. Phys. 49 (2000) 1
2. Ódor G. Rev. Mod. Phys. 76 (2004) 663 and references therein
3. Bak P., Tang C., and Wiesenfeld K. Phys. Rev. Lett. 59 (1987) 381
4. Jensen H.J. Self Organized Criticality (1998), Cambridge University Press, Cambridge
5. Dhar D. Physica A 263 (1999) 69
6. Manna S.S. J. Phys. A 24 (1991) L363
7. Christensen K., et al. Phys. Rev. Lett. 77 (1996) 107
8. Dickman R., et al. Braz. J. Phys. 30 (2000) 27
9. M.A. Muñoz, et al., in: J. Marro, P.L. Garrido, (Eds.), Modeling Complex Systems, AIP Conference Proceedings, vol. 574, p. 102 (2001), Cond-mat/0011447
10. Vespignani A., et al. Phys. Rev. Lett. 81 (1998) 5676
11. Vespignani A., et al. Phys. Rev. E 62 (2000) 4564
12. Biham O., Milshtein E., and Malcai O. Phys. Rev. E 63 (2001) 061309
13. Rossi M., Pastor-Satorras R., and Vespignani A. Phys. Rev. Lett. 85 (2000) 1803
14. Pastor-Satorras R., and Vespignani A. Phys. Rev. E 62 (2000) R5875
15. Hohenberg P.C., and Halperin B.J. Rev. Mod. Phys. 49 (1977) 435
16. Dornic I., Chaté H., and Muñoz M.A. Phys. Rev. Lett. 94 (2005) 100601
17. Muñoz M.A., et al. Phys. Rev. E 59 (1999) 6175
18. Lübeck S. Int. J. Mod. Phys. B 18 (2004) 3977
19. Mohanty P.K., and Dhar D. Phys. Rev. Lett. 89 (2002) 104303
20. Bonachela J.A., et al. Phys. Rev. E. 74 (2006) 050102 (R)
21. Janssen H.K., Schaub B., and Schmittmann B. Z. Phys. B 72 (1988) 111
22. Lauritsen K.B., Fröjdh P., and Howard M. Phys. Rev. Lett. 81 (1998) 2104
23. Fröjdh P., Howard M., and Lauritsen K.B. J. Phys. A 31 (1998) 2311
24. Int. J. Mod. Phys. B 15 (2001) 1761.
25. Essam J.W., et al. J. Phys. A 29 (1996) 1619
26. Jensen I. J. Phys. A 32 (1999) 6055
27. Carlon E., Henkel M., and Schollwöck U. Eur. Phys. J. B 12 (1999) 99
28. Lauritsen K.B., et al. Physica A 247 (1997) 1
29. de Menezes M.A., and Moukarzel C.F. Phys. Rev. E 60 (1999) 5699
30. Jensen I., and Dickman R. Phys. Rev. E 48 (1993) 1710
31. Jensen I. Phys. Rev. Lett. 70 (1993) 1465
32. Muñoz M.A., Grinstein G., Dickman R., and Livi R. Phys. Rev. Lett. 76 (1996) 451
33. Muñoz M.A., Grinstein G., Dickman R., and Livi R. Physica D 103 (1997) 485
34. Muñoz M.A., Grinstein G., and Dickman R. J. Stat. Phys. 91 (1998) 541
35. Tadic B., and Dhar D. Phys. Rev. Lett. 79 (1997) 1519
36. Hughes D., and Paczuski M. Phys. Rev. Lett. 88 (2002) 054302