Griffiths phases in the contact process on complex networks

AIP Conference Proceedings

Volumn 1332, Issue , 2011, Pages 172-178

  Ódor, Géza ^a   Juhász, Róbert ^b   Castellano, Claudio ^c   Muñoz, Miguel A ^d  

^a Res Inst for Techn Physics and Materials Science   (Hungary)

^b WIGNER RESEARCH CENTRE FOR PHYSICS   (Hungary)

^c SAPIENZA UNIVERSITY OF ROME   (Italy)

^d UNIVERSITY OF GRANADA   (Spain)

Author keywords

contact process; Griffiths phase; network

Indexed keywords

EID: 79955073043     PISSN: 0094243X     EISSN: 15517616     Source Type: Conference Proceeding    
DOI: 10.1063/1.3577622     Document Type: Conference Paper

References (35)

1. A. -L. Barabási, and R. Albert, Science 286, (1999) 509.
2. S. N. Dorogovtsev, A. V. Goltsev, and J. F. F. Mendes, Rev. Mod. Phys. 80, 1275 (2008).
3. R. Albert, and A. -L. Barabási, Rev. Mod. Phys. 74, 47-97 (2002).
4. J. M. Kleinberg, Nature 406, 845 (2000).
5. D. Chowdhury, and B. Chakrabarti, J. Phys. A: Math. Gen. 18, L377 (1985).
6. G. Li et al., Phys. Rev. Lett. 104, 018701 (2010).
7. J. Hicks, A. Benham, and A. Ural, Phys. Rev. E 79, 012102 (2009).
8. R. Pastor-Satorras, and A. Vespignani, Evolution and Structure of the Internet: A Statistical Physics Approach, Cambridge University Press, Cambridge, 2004.
9. G. Ódor, Universality in Nonequilibrium Lattice Systems, World Scientific, 2008;
10. Rev. Mod. Phys. 76, 663 (2004).
11. M. Boguna, C. Castellano, and R. Pastor-Satorras, Phys. Rev. E 79, 026110 (2009).
12. S. H. Lee, et al., Phys. Rev. E 80, 051127 (2009).
13. C. Castellano, and R. Pastor-Satorras, Phys. Rev. Lett. 96, 038701 (2006).
14. R. B. Griffiths, Phys. Rev. Lett. 23, 17 (1969).
15. A. J. Bray, Phys. Rev. Lett. 59, 586 (1987);
16. M. Thill, and D. Huse, Physica A 214, 321 (1995);
17. H. Rieger, and A. P.Young, Phys. Rev. B 54, 3328 (1996);
18. D. S. Fisher, Phys. Rev. Lett. 69, 534 (1992).
19. A. J. Noest, Phys. Rev. Lett. 57, 91 (1986).
20. T. Vojta, and M. Dickison, Phys. Rev. E 72, 036126 (2005).
21. S. Johnson, J. J. Torres, and J. Marro, arXiv:1007.3122.
22. X. Castelló et al., Europhys. Lett. 79 66006 (2007).
23. M. Karsai, et al. arXiv:1006.2125.
24. T. E. Harris, Ann. Prob. 2, 969 (1974).
25. M. Henkel, H. Hinrichsen, and S. Lübeck, Non-equilibrium Phase transitions, Springer, Berlin, 2008.
26. P. Erdös, and A. Rényi, Publicationes Mathematicae 6, 290 (1959).
27. M. Aizenman, and C. M. Newman, Commun. Math. Phys. 107, 611 (1986).
28. I. Benjamini, and N. Berger, Rand. Struct. Alg. 19, 102 (2001).
29. R. Juhász, Phys. Rev. E 78, 066106 (2008).
30. R. Juhász, and G. Ódor, Phys. Rev. E 80, 041123 (2009).
31. H. Hinrichsen, J. Stat. Mech.: Theor. Exp. P07066 (2007)
32. M. A. Muñoz, R. Juhász, C. Castellano, and G. Ódor, Phys. Rev. Lett. 105, 128701 (2010).
33. C. Castellano, G. Ódor, R. Juhász, and M.A. Muñoz, preprint 2010.
34. A. Amir, Y. Oreg, and Y. Imry, Phys. Rev. Lett. 105, 070601 (2010);
35. Phys. Rev. Lett. 103, 126403 (2009).