Nonlinear q -voter model

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

Volumn 80, Issue 4, 2009, Pages

  Castellano, Claudio ^a   Muñoz, Miguel A ^b   Pastor Satorras, Romualdo ^c  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b UNIVERSITY OF GRANADA   (Spain)

^c UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ABSORBING STATE; DISORDERED PHASE; FINAL STATE; FOKKER PLANCK; FULLY CONNECTED NETWORKS; INITIAL CONDITIONS; INTERMEDIATE REGIMES; LANGEVIN EQUATION; MEAN FIELD; ORDERING DYNAMICS; SPATIALLY EXTENDED SYSTEMS; VOTER MODELS;

PROBABILITY; SOLVENTS;

PHASE TRANSITIONS;

EID: 70449094130     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.041129     Document Type: Article

References (31)

1. P. Clifford and A. Sudbury, Biometrika 60, 581 (1973). 10.1093/biomet/60.3.581
2. C. Castellano, S. Fortunato, and V. Loreto, Rev. Mod. Phys. 81, 591 (2009). 10.1103/RevModPhys.81.591
3. M. A. Nowak, Evolutionary Dynamics (Berknap, Cambridge, 2006).
4. L. Frachebourg and P. L. Krapivsky, Phys. Rev. E 53, R3009 (1996). 10.1103/PhysRevE.53.R3009
5. I. Dornic, H. Chaté, J. Chave, and H. Hinrichsen, Phys. Rev. Lett. 87, 045701 (2001). 10.1103/PhysRevLett.87.045701
6. A. J. Bray, Adv. Phys. 43, 357 (1994). 10.1080/00018739400101505
7. M. de Oliveira, J. Mendes, and M. Santos, J. Phys. A 26, 2317 (1993). 10.1088/0305-4470/26/10/006
8. J.-M. Drouffe and C. Godrèche, J. Phys. A 32, 249 (1999). 10.1088/0305-4470/32/2/003
9. J. Molofsky, R. Durrett, J. Dushoff, D. Griffeath, and S. Levin, Theor Popul. Biol. 55, 270 (1999). 10.1006/tpbi.1998.1404
10. A. Baronchelli, L. Dall'Asta, A. Barrat, and V. Loreto, Phys. Rev. E 73, 015102 (2006). 10.1103/PhysRevE.73.015102
11. X. Castelló, V. Eguíluz, and M. San Miguel, New J. Phys. 8, 308 (2006). 10.1088/1367-2630/8/12/308
12. L. Dall'Asta and C. Castellano, EPL 77, 60005 (2007). 10.1209/0295-5075/77/60005
13. F. Schweitzer and L. Behera, Eur. Phys. J. B 67, 301 (2009). 10.1140/epjb/e2009-00001-3
14. O. Al Hammal, H. Chaté, I. Dornic, and M. A. Muñoz, Phys. Rev. Lett. 94, 230601 (2005). 10.1103/PhysRevLett.94.230601
15. C. W. Gardiner, Handbook of Stochastic Methods, 2nd ed. (Springer, Berlin, 1985).
16. M. Droz, A. L. Ferreira, and A. Lipowski, Phys. Rev. E 67, 056108 (2003). 10.1103/PhysRevE.67.056108
17. F. Vázquez and C. López, Phys. Rev. E 78, 061127 (2008). 10.1103/PhysRevE.78.061127
18. R. Lambiotte and S. Redner, J. Stat. Mech.: Theory Exp. (2007) L10001. 10.1088/1742-5468/2007/10/L10001
19. K. Sznajd-Weron and J. Sznajd, Int. J. Mod. Phys. C 11, 1157 (2000). 10.1142/S0129183100000936
20. R. Hegselmann and U. Krause, J. Artif. Soc. Soc. Simul. 5 (2002).
21. S. Galam, Europhys. Lett. 70, 705 (2005). 10.1209/epl/i2004-10526-5
22. P. L. Krapivsky and S. Redner, Phys. Rev. Lett. 90, 238701 (2003). 10.1103/PhysRevLett.90.238701
23. F. Slanina and H. Lavička, Eur. Phys. J. B 35, 279 (2003). 10.1140/epjb/e2003-00278-0
24. V. Sood and S. Redner, Phys. Rev. Lett. 94, 178701 (2005). 10.1103/PhysRevLett.94.178701
25. T. Antal, S. Redner, and V. Sood, Phys. Rev. Lett. 96, 188104 (2006). 10.1103/PhysRevLett.96.188104
26. V. Sood, T. Antal, and S. Redner, Phys. Rev. E 77, 041121 (2008). 10.1103/PhysRevE.77.041121
27. P. C. Hohenberg and B. J. Halperin, Rev. Mod. Phys. 49, 435 (1977). 10.1103/RevModPhys.49.435
28. J. F. Crow and M. Kimura, An Introduction to Population Genetics Theory (Harper & Row, New York, 1970).
29. R. Lambiotte and S. Redner, EPL 82, 18007 (2008). 10.1209/0295-5075/82/ 18007
30. I. Dornic, Ph.D. thesis, Université de Nice, Sophia-Antipolis, 1998.
31. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972).