Incomplete ordering of the voter model on small-world networks

Europhysics Letters

Volumn 63, Issue 1, 2003, Pages 153-158

  Castellano, C ^a,b   Vilone, D ^a   Vespignani, A ^c  

^a UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

^b INFM   (Italy)

^c UNIVERSITÉ PARIS SUD   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1842475472     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i2003-00490-0     Document Type: Article

References (27)

1. AXELROD R., The Complexity of Cooperation (Princeton University Press, Princeton) 1997.
2. BRAY A. J., Adv. Phys., 43 (1994) 357.
3. AXTELL R., AXELROD R., EPSTEIN J. and COHEN M. D., Comput. Math. Organiz. Theory, 1 (1996) 123.
4. CASTELLANO C., MARSILI M. and VESPIGNANI A., Phys. Rev. Lett., 85 (2000) 3536.
5. SANCHEZ A. D., LOPEZ J. M. and RODRIGUEZ M. A., Phys. Rev. Lett., 88 (2002) 048701.
6. HOLYST J. A., KACPERSKI K. and SCHWEITZER F., Annual Review of Computational Physics, Vol. IX (World Scientific, Singapore) 2001.
7. STAUFFER D., JASSS, 5 (2002) 1.
8. LIGGETT T. M., Interacting Particle Systems (Springer, New York) 1985.
9. VAZQUEZ F., KRAPIVSKY P. L. and REDNER S., cond-mat/0209445 (2002).
10. In d = 1, the voter model coincides with the Ising model with Metropolis dynamics at T = 0. In higher dimensions it differs from it because of the absence of surface tension; DORNIC I., CHATÉ H., CHAVE J. and HINRICHSEN H., Phys. Rev. Lett., 87 (2001) 045701.
11. MARRO J. and DICKMAN R., Nonequilibrium Phase Transition in Lattice Models (Cambridge University Press, Cambridge) 1999.
12. STROGATZ S. H., Nature, 410 (2001) 268.
13. ALBERT R. and BARABÁSI A.-L., Rev. Mod. Phys., 74 (2002) 47.
14. WATTS D. J. and STROGATZ S. H., Nature. 393 (1998) 440.
15. WATTS D. J., Small Worlds: The Dynamics of Networks between Order and Randomness (Princeton University Press, Princeton) 1999.
16. LILJEROS F., EDLING C. R., AMARAL L. A. N., STANLEY H. E. and ABERG Y., Nature, 411 (2001) 907.
17. REDNER S., Eur. Phys. J. B, 4 (1998) 131.
18. NEWMAN M. E. J., J. Stat. Phys., 101 (2000) 819.
19. BARTHELEMY M. and AMARAL L. A. N., Phys. Rev. Lett., 82 (1999) 3180.
20. BARRAT A. and WEIGT M., Eur. Phys. J. B, 13 (2000) 547.
21. FRACHEBOURG L. and KRAPIVSKY P. L., Phys. Rev. E, 53 (1996) 3009; REDNER S., A Guide to First-Passage Processes (Cambridge University Press, Cambridge) 2001.
22. FRACHEBOURG L. and KRAPIVSKY P. L., Phys. Rev. E, 53 (1996) 3009; REDNER S., A Guide to First-Passage Processes (Cambridge University Press, Cambridge) 2001.
23. AXELROD R., J. Conflict Resolut., 41 (1997) 203.
24. CALLAWAY D. S., NEWMAN M. E. J., STROGATZ S. H. and WATTS D. J., Phys. Rev. Lett., 85 (2000) 5468.
25. COHEN R., EREZ K., BEN-AVRAHAM D. and HAVLIN S., Phys. Rev. Lett., 85 (2000) 4626.
26. PASTOR-SATORRAS R. and VESPIGNANI A., Phys. Rev. Lett., 86 (2001) 3200.
27. BOYER D. and MIRAMONTES O., Phys. Rev. E, 67 (2003) 035102.