Phase ordering on small-world networks with nearest-neighbor edges

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

Volumn 65, Issue 4, 2002, Pages

  Hong, H ^a,c   Choi, M Y ^a   Kim, Beom Jun ^b  

^a Seoul National University   (South Korea)

^b Ajou University   (South Korea)

^c Korea Institute for Advanced Study   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; EQUATIONS OF MOTION; MATHEMATICAL MODELS; OSCILLATORS (ELECTRONIC); QUENCHING; RANDOM PROCESSES; THERMAL EFFECTS; THERMAL NOISE; TOPOLOGY;

PHASE COHERENCE; PHASE ORDERING; RANDOM VARIABLES; SMALL-WORLD NETWORKS;

PHASE TRANSITIONS;

EID: 37649032326     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.047104     Document Type: Article

References (20)

1. D. J. Watts and S. H. Strogatz, Nature (London) 393, 440 (1998). See also R. Albert, H. Jeong, and A.-L. Barabási, ibid. 401, 130 (1999); M. E. J. Newman, J. Stat. Phys. 101, 819 (2000); S. H. Strogatz, Nature (London) 410, 268 (2001).
2. D. J. Watts and S. H. Strogatz, Nature (London) 393, 440 (1998). See also R. Albert, H. Jeong, and A.-L. Barabási, ibid. 401, 130 (1999); M. E. J. Newman, J. Stat. Phys. 101, 819 (2000); S. H. Strogatz, Nature (London) 410, 268 (2001).
3. D. J. Watts and S. H. Strogatz, Nature (London) 393, 440 (1998). See also R. Albert, H. Jeong, and A.-L. Barabási, ibid. 401, 130 (1999); M. E. J. Newman, J. Stat. Phys. 101, 819 (2000); S. H. Strogatz, Nature (London) 410, 268 (2001).
4. D. J. Watts and S. H. Strogatz, Nature (London) 393, 440 (1998). See also R. Albert, H. Jeong, and A.-L. Barabási, ibid. 401, 130 (1999); M. E. J. Newman, J. Stat. Phys. 101, 819 (2000); S. H. Strogatz, Nature (London) 410, 268 (2001).
5. D. J. Watts, Small Worlds (Princeton University Press, Princeton, NJ, 1999).
6. A. Barrat and M. Weigt, Eur. Phys. J. B 13, 547 (2000).
7. L. F. Lago-Fernández, R. Huerta, F. Corbacho, and J. A. Sigüenza, Phys. Rev. Lett. 84, 2758 (2000).
8. M. Gitterman, J. Phys. A 33, 8373 (2000); B. J. Kim, H. Hong, P. Holme, G. S. Jeon, P. Minnhagen, and M. Y. Choi, Phys. Rev. E 64, 056135 (2001).
9. M. Gitterman, J. Phys. A 33, 8373 (2000); B. J. Kim, H. Hong, P. Holme, G. S. Jeon, P. Minnhagen, and M. Y. Choi, Phys. Rev. E 64, 056135 (2001).
10. H. Hong, M. Y. Choi, and B. J. Kim, Phys. Rev. E 65, 026139 (2002).
11. M. E. J. Newman and D. J. Watts, Phys. Lett. A 263, 341 (1999).
12. Y. Kuramoto, in Proceedings of the International Symposium on Mathematical Problems in Theoretical Physics, edited by H. Araki (Springer-Verlag, New York, 1975); Y. Kuramoto and I. Nishikawa, J. Stat. Phys. 49, 569 (1987); H. Daido, Prog. Theor. Phys. 77, 622 (1987); Phys. Rev. Lett. 68, 1073 (1992).
13. Y. Kuramoto, in Proceedings of the International Symposium on Mathematical Problems in Theoretical Physics, edited by H. Araki (Springer-Verlag, New York, 1975); Y. Kuramoto and I. Nishikawa, J. Stat. Phys. 49, 569 (1987); H. Daido, Prog. Theor. Phys. 77, 622 (1987); Phys. Rev. Lett. 68, 1073 (1992).
14. Y. Kuramoto, in Proceedings of the International Symposium on Mathematical Problems in Theoretical Physics, edited by H. Araki (Springer-Verlag, New York, 1975); Y. Kuramoto and I. Nishikawa, J. Stat. Phys. 49, 569 (1987); H. Daido, Prog. Theor. Phys. 77, 622 (1987); Phys. Rev. Lett. 68, 1073 (1992).
15. Y. Kuramoto, in Proceedings of the International Symposium on Mathematical Problems in Theoretical Physics, edited by H. Araki (Springer-Verlag, New York, 1975); Y. Kuramoto and I. Nishikawa, J. Stat. Phys. 49, 569 (1987); H. Daido, Prog. Theor. Phys. 77, 622 (1987); Phys. Rev. Lett. 68, 1073 (1992).
16. H. Sakaguchi, Prog. Theor. Phys. 79, 39 (1988).
17. See, e.g., R. L. Burden and J. D. Faires, Numerical Analysis (Brooks/Cole, Pacific Grove, 1997), p. 280.
18. H. Sakaguchi, S. Shinomoto, and Y. Kuramoto, Prog. Theor. Phys. 77, 1005 (1987).
19. c.
20. R. Botet, R. Jullien, and P. Pfeuty, Phys. Rev. Lett. 49, 478 (1982).