Disorder induced phase transition in kinetic models of opinion dynamics

Physica A: Statistical Mechanics and its Applications

Volumn 391, Issue 11, 2012, Pages 3257-3265

  Biswas, Soumyajyoti ^a   Chatterjee, Arnab ^b   Sen, Parongama ^c  

^a SAHA INSTITUTE OF NUCLEAR PHYSICS   (India)

^b CENTRE DE PHYSIQUE THÉORIQUE   (France)

^c UNIVERSITY OF CALCUTTA   (India)

Author keywords

Consensus; Critical phenomenon; Mean field; Social system

Indexed keywords

CONSENSUS; CONTINUOUS OPINION DYNAMICS; CONTINUOUS PHASE TRANSITIONS; CRITICAL PHENOMENON; DISORDER-INDUCED PHASE TRANSITION; FERROMAGNETIC-PARAMAGNETIC PHASE TRANSITION; MEAN FIELD; SOCIAL SYSTEMS;

PHYSICS;

EID: 84858079269     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2012.01.046     Document Type: Article

References (46)

1. B.K. Chakrabarti, A. Chakraborti, and A. Chatterjee Econophysics and Sociophysics 2006 Wiley-VCH Berlin
2. D. Stauffer R.A. Meyers, Encyclopedia of Complexity and Systems Science 2009 Springer New York Comput. Sci. Eng. 5 2003 71
3. A.-L. Barabsi Nature 435 2005 207
4. T. Vicsek, A. Czirk, E. Ben-Jacob, and I. Cohen Phys. Rev. Lett. 75 1995 1226
5. F. Vazquez, P.L. Krapivsky, and S. Redner J. Phys. A 36 2003 L61
6. C. Castellano, S. Fortunato, and V. Loreto Rev. Modern Phys. 81 2009 591
7. J.E. Cohen, J. Hajnal, and C.M. Newman Stochastic Process. Appl. 22 1986 315
8. S. Galam, Y. Gefen, and Y. Shapir J. Math. Socio. 9 1982 1
9. P. Holme, and M.E.J. Newman Phys. Rev. E 74 2006 056108
10. S. Fortunato, V. Latora, A. Pluchino, and A. Rapisarda Int. J. Mod. Phys. C 16 2005 1535
11. P.L. Krapivsky, and S. Redner Phys. Rev. Lett. 90 2003 238701
12. M.N. Kuperman, and D.H. Zanette Eur. Phys. J. B 26 2002 387
13. T.M. Liggett Interacting Particle Systems: Contact, Voter and Exclusion Processes 1999 Springer-Verlag Berlin
14. K. Sznajd-Weron, and J. Sznajd Int. J. Mod. Phys. C 11 2000 1157
15. S. Galam Int. J. Mod. Phys. C 19 2008 409
16. S. Galam, and F. Jacobs Physica A 381 2007 366
17. G. Deffuant, N. Neau, F. Amblard, and G. Weisbuch Adv. Complex Syst. 3 2000 87
18. R. Hegselman, and U. Krause J. Art. Soc. Soc. Simul. 5 2002 2
19. S. Fortunato Int. J. Mod. Phys. C 16 2005 17
20. S. Fortunato Int. J. Mod. Phys. C 15 2004 1301
21. G. Toscani Commun. Math. Sci. 4 2006 481
22. S. Galam Physica A 333 2003 453
23. S. Biswas, and P. Sen Phys. Rev. E 80 2009 027101
24. P. Sen Phys. Rev. E 81 2010 032103
25. S. Biswas, and P. Sen J. Phys. A: Math. Theor. 44 2011 145003
26. M. Lallouache, A.S. Chakrabarti, A. Chakraborti, and B.K. Chakrabarti Phys. Rev. E 82 2010 056112
27. P. Sen Phys. Rev. E 83 2011 016108
28. S. Biswas, A.K. Chandra, A. Chatterjee, and B.K. Chakrabarti J. Phys. Conf. Ser. 297 2011 012004
29. M. Stone Ann. Math. Stat. 32 1961 1339
30. M.H. DeGroot J. Am. Stat. Asoc. 69 1974 118
31. S. Chaterjee, and E. Seneta J. Appl. Probab. 14 1977 89
32. S. Biswas Phys. Rev. E 84 2011 056106
33. A. Chakraborti, and B.K. Chakrabarti Eur. Phys. J. B 17 2000 167
34. A. Chatterjee, B.K. Chakrabarti, and S.S. Manna Physica A 335 2004 155
35. A. Chatterjee, and B.K. Chakrabarti Eur. Phys. J. B 60 2007 135
36. A. Chatterjee Eur. Phys. J. B 67 2009 593
37. K. Binder, and A.P. Young Rev. Modern Phys. 58 1986 801
38. H. Nishimori, private communication.
39. We make use of the special property of the Binder cumulant that it is size invariant at the critical point. e.g., see K. Binder Z. Phys B: Condens. Matter. 43 1981 119
40. M. Lewenstein, A. Nowak, and B. Latan Phys. Rev. A 45 1992 763
41. H.S. Wio, M.S. de la Lama, and J.M. Lopez Physica A 371 2006 108
42. D. Stauffer, and J.S. Martins Physica A 334 2004 558
43. S. Galam Eurphys. Lett. 70 2005 705
44. H. Hong, B.J. Kim, and M.Y. Choi Phys. Rev. E 66 2002 018101
45. A. Chatterjee, and P. Sen Phys. Rev. E 74 2006 036109
46. S. Biswas, A. Chatterjee, P. Sen, in preparation.