Nonequilibrium phase transition due to isolation of communities

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

Volumn 80, Issue 3, 2009, Pages

  Sienkiewicz, Julian ^a   Hołyst, Janusz A ^a  

^a WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL RESULTS; CRITICAL DENSITY; CRITICAL TIME; ISOLATED CLUSTER; NONEQUILIBRIUM PHASE TRANSITIONS; NUMERICAL SIMULATION; ONE-DIMENSIONAL SYSTEMS; RANDOM GRAPHS; SCALE FREE NETWORKS; SIMPLE MODEL; SOCIAL GROUPS; SYSTEM SIZE;

COMPUTER SIMULATION; GRAPH THEORY;

PHASE TRANSITIONS;

EID: 70349482820     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.036103     Document Type: Article

References (35)

1. Ch. Schulze and D. Stauffer, Modeling Cooperative Behavior in the Social Sciences, AIP Conf. Proc. No. 779 (AIP, New York, 2005), p. 49 10.1063/1.2008590
2. X. Castelló, V. M. Eguíluz, and M. San Miguel, New J. Phys. 8, 308 (2006) 10.1088/1367-2630/8/12/308
3. M. A. Nowak, N. L. Komarova, and P. Niyogi, Nature (London) 417, 611 (2002). 10.1038/nature00771
4. R. Axelrod, J. Conflict Resolut. 41, 203 (1997). 10.1177/ 0022002797041002001
5. C. Castellano, S. Fortunato, and V. Loreto, Rev. Mod. Phys. 81, 591 (2009). 10.1103/RevModPhys.81.591
6. K. Sznajd-Weron and J. Sznajd, Int. J. Mod. Phys. C 11, 1157 (2000) 10.1142/S0129183100000936
7. F. Slanina and H. Lavicka, Eur. Phys. J. B 35, 279 (2003). 10.1140/epjb/e2003-00278-0
8. C. Castellano, V. Loreto, A. Barrat, F. Cecconi, and D. Parisi, Phys. Rev. E 71, 066107 (2005) 10.1103/PhysRevE.71.066107
9. K. Suchecki, V. M. Eguíluz, and M. San Miguel, EPL 69, 228 (2005). 10.1209/epl/i2004-10329-8
10. S. Galam, Physica A 285, 66 (2000) 10.1016/S0378-4371(00)00272-7
11. P. L. Krapivsky and S. Redner, Phys. Rev. Lett. 90, 238701 (2003) 10.1103/PhysRevLett.90.238701
12. R. Lambiotte, M. Ausloos, and J. A. Hołyst, Phys. Rev E 75, 030101 (R) (2007). 10.1103/PhysRevE.75.030101
13. K. Kacperski and J. A. Hołyst, Physica A 269, 511 (1999) 10.1016/S0378-4371(99)00174-0
14. J. A. Hołyst, K. Kacperski, and F. Schweitzer, Physica A 285, 199 (2000) 10.1016/S0378-4371(00)00282-X
15. K. Kacperski and J. A. Hołyst, Physica A 287, 631 (2000). 10.1016/S0378-4371(00)00398-8
16. G. Deffuant, D. Neau, F. Amblard, and G. Weisbuch, Adv. Complex Syst. 3, 87 (2000) 10.1142/S0219525900000078
17. R. Hegselmann and U. Krause, J. Artif. Soc. Soc. Simul. 5 (3) (2002).
18. E. S. Shihadeh and N. Flynn, Soc. Forces 74, 1325 (1996). 10.2307/2580353
19. H. Meyer-Ortmanns, Int. J. Mod. Phys. C 14, 311 (2003) 10.1142/S0129183103004504
20. C. Schulze, Int. J. Mod. Phys. C 16, 351 (2005) 10.1142/S0129183105007169
21. D. Stauffer and S. Solomon, Eur. Phys. J. B 57, 473 (2007) 10.1140/epjb/e2007-00181-8
22. L. Dall'Asta, C. Castellano, and M. Marsili, J. Stat. Mech.: Theory Exp. (2008), L07002 10.1088/1742-5468/2008/07/L07002
23. G. Ódor, Int. J. Mod. Phys. C 19, 393 (2008). 10.1142/ S0129183108012212
24. T. C. Schelling, J. Math. Sociol. 1, 143 (1971).
25. B. H. Brummett, Psychosom. Med. 63, 267 (2001).
26. M. McPherson, L. Smith-Lovin, and M. E. Brashears, Am. Sociol. Rev. 71, 353 (2006).
27. S. Fortunato and C. Castellano, Phys. Rev. Lett. 99, 138701 (2007) 10.1103/PhysRevLett.99.138701
28. M. A. Porter, P. J. Mucha, M. E. J. Newman, and A. J. Friend, Physica A 386, 414 (2007). 10.1016/j.physa.2007.07.039
29. L. Cederman, Am. Polit. Sci. Rev. 97, 135 (2003)
30. N. J. Johnson, in Managing Complexity: Insights, Concepts, Applications, edited by, D. Helbing, (Springer-Verlag, Berlin, 2008).
31. E. Gibbon, in History of the Decline and Fall of the Roman Empire, edited by, H.-F. Mueller, (Modern Library, New York, 2005).
32. R. E. Adams, J. Comp. Psychol. 20, 353 (1992). 10.1002/1520-6629(199210) 20:4<353::AID-JCOP2290200409>3.0.CO;2-Z
33. M. Zhou, Annu. Rev. Sociol. 23, 63 (1997). 10.1146/annurev.soc.23.1.63
34. P. Erdos and A. Rényi, Publ. Math. (Debrecen) 6, 290 (1959).
35. R. Albert and A.-L. Barabási, Rev. Mod. Phys. 74, 47 (2002). 10.1103/RevModPhys.74.47