First- and second-order phase transitions in scale-free networks

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 66, Issue 3, 2002, Pages

  Iglói, Ferenc ^a,b,c   Turban, Loïc ^c  

^a WIGNER RESEARCH CENTRE FOR PHYSICS   (Hungary)

^b UNIVERSITY OF SZEGED   (Hungary)

^c INSTITUT JEAN LAMOUR   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COALESCENCE; CRYOGENICS; GIBBS FREE ENERGY; MELTING; NUCLEAR MAGNETIC RESONANCE SPECTROSCOPY; PHASE SEPARATION; PORE SIZE; POROSITY; POROUS MATERIALS;

BINARY LIQUID MIXTURES; CRYOPOROMETRY; GIBBS-THOMPSON RELATION; MOLECULAR SELF-DIFFUSION;

BINARY MIXTURES;

ARTICLE;

EID: 41349107969     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.036140     Document Type: Article

References (33)

1. R. Albert and A.L. Barabási, Rev. Mod. Phys. 74, 47 (2002).
2. S.N. Dorogovtsev and J.F.F. Mendes, Adv. Phys. 51, 1079 (2002).
3. D.J. Watts and S.H. Strogatz, Nature (London) 393, 440 (1998).
4. L.F. Lago-Fernández, R. Huerta, F. Corbacho, and J.A. Siguenza, Phys. Rev. Lett. 84, 2758 (2000).
5. M.E.J. Newman, J. Stat. Phys. 101, 819 (2000).
6. A.L. Barabási and R. Albert, Science 286, 509 (1999).
7. M.E.J. Newman, Proc. Natl. Acad. Sci. U.S.A. 98, 404 (2001).
8. H. Jeong, S.P. Mason, A.L. Barabási, and Z.N. Oltvai, Nature (London) 411, 41 (2001).
9. M. Faloutsos, P. Faloutsos, and C. Faloutsos, Comput. Commun. Rev. 29, 251 (1999).
10. R. Albert, H. Jeong, and A.L. Barabási, Nature (London) 401, 130 (1999);
11. Nature (London)B.A. Huberman and L.A. Adamic, 401, 131 (1999).
12. K.-I. Goh, E.S. Oh, H. Jeong, B. Kahng, and D. Kim, e-print cond-mat/0205232.
13. R. Pastor-Satorras and A. Vespignani, Phys. Rev. Lett. 86, 3200 (2001);
14. R. Pastor-SatorrasA. VespignaniPhys. Rev. E 63, 066117 (2001);
15. M. E. J. Newman, Phys. Rev. E 66, 016128 (2002).
16. D.S. Callaway, M.E.J. Newman, S.H. Strogatz, and D.J. Watts, Phys. Rev. Lett. 85, 5468 (2000);
17. R. Cohen, D. ben-Avraham, and S. Havlin, Phys. Rev. E (to be published) e-print cond-mat/0202259.
18. A. Aleksiejuk, J.A. Holyst, and D. Stauffer, Physica A 310, 260 (2002).
19. M. Leone, A. Vazquez, A. Vespignani, and R. Zecchina, e-print cond-mat/0203416;
20. S.N. Dorogovtsev, A.V. Goltsev, and J.F.F. Mendes, Phys. Rev. E 66, 016104 (2002);
21. G. Bianconi, e-print cond-mat/0204455.
22. M.E. Newman and D.J. Watts, Phys. Lett. A 263, 341 (1999);
23. M. Argollo de Menezes, C.F. Moukarzel, and T.J.P. Penna, Europhys. Lett. 50, 574 (2000);
24. C. Moore and M.E.J. Newman, Phys. Rev. E 62, 7059 (2000);
25. A. Barrat and M. Weigt, Eur. Phys. J. B 13, 547 (2000);
26. M. Gitterman, J. Phys. A 33, 8373 (2000).
27. R. Lipowsky, Phys. Rev. Lett. 49, 1575 (1982).
28. J.L. Cardy, Physica A 263, 215 (1999).
29. L. Turban and F. Iglói, Phys. Rev. B 66, 014440 (2002).
30. This approximation is justified in special problems where the critical singularities of our method coincide with those obtained by other methods 1315.
31. L. D. Landau and E. M. Lifshitz, Statistical Physics, I (Pergamon-Oxford, New York, 1969).
32. For a review on the Potts model, see, F.Y. Wu, Rev. Mod. Phys. 54, 235 (1982).
33. A.V. Goltsev, S.N. Dorogovtsev, and J.F.F. Mendes, e-print cond-mat/0204596.