Quantum and classical diffusion on small-world networks

Physical Review B - Condensed Matter and Materials Physics

Volumn 68, Issue 1, 2003, Pages

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

^a Ajou University   (South Korea)

^b Korea Institute for Advanced Study   (South Korea)

^c Seoul National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; DIFFUSION; DYNAMICS; QUANTUM MECHANICS; TIME;

EID: 0141540697     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.68.014304     Document Type: Article

References (34)

1. Science 284, 79 (1999).
2. D. J. Watts, Small Worlds (Princeton Univ., Princeton, 1999).
3. M.E.J. Newman, J. Stat. Phys. 101, 819 (2000).
4. S.H. Strogatz, Nature (London) 410, 268 (2001).
5. S.N. Dorogovtsev and J.F.F. Mendes, Adv. Phys. 51, 1079 (2002).
6. R. Albert and A.-L. Barabási, Rev. Mod. Phys. 74, 47 (2002).
7. D.J. Watts and S.H. Strogatz, Nature (London) 393, 440 (1998).
8. A.-L. Barabási and R. Albert, Science 286, 509 (1999).
9. A.-L. Barabási, R. Albert, and H. Jeong, Physica A 272, 173 (1999).
10. R. Albert, H. Jeong, and A.-L. Barabási, Nature (London) 401, 130 (1999).
11. M. Gitterman, J. Phys. A 33, 8373 (2000).
12. A. Barrat and M. Weigt, Eur. Phys. J. B 13, 547 (2000).
13. A. Pȩkalski, Phys. Rev. E 64, 057104 (2001).
14. H. Hong, B.J. Kim, and M.Y. Choi, Phys. Rev. E 66, 018101 (2002).
15. J.-Y. Zhu and H. Zhu, Phys. Rev. E 67, 026125(2003).
16. B.J. Kim, H. Hong, P. Holme, G.S. Jeon, P. Minnhagen, and M.Y. Choi, Phys. Rev. E 64, 056135 (2002).
17. S. Jespersen, I.M. Sokolov, and A. Blumen, Phys. Rev. E 62, 4405 (2000).
18. R. Pastor-Satorras and A. Vespignani, Phys. Rev. Lett. 86, 3200 (2001).
19. R. Pastor-Satorras, A. Vespignani, Phys. Rev. E 65, 036104 (2002).
20. Y. Moreno and A. Vázquez, Eur. Phys. J. B 31, 265 (2003).
21. K. Medvedyeva, P. Holme, P. Minnhagen, and B.J. Kim, Phys. Rev. E 67, 036118 (2003).
22. R. Monasson, Eur. Phys. J. B 12, 555 (2000).
23. B. J. Kim, H. Hong, and M. Y. Choi, J. Phys. A: Math. Gen. 36, 6329 (2003).
24. C.-P. Zhu and S.-J. Xiong, Phys. Rev. B 62, 14780 (2000).
25. C.-P. Zhu, S.-J. Xiong Phys. Rev. B 63, 193405 (2001).
26. M.E.J. Newman and D.J. Watts, Phys. Lett. A 263, 341 (1999).
27. M.A. de Menezes, C.F. Moukarzel, and T.J.P. Penna, Europhys. Lett. 50, 574 (2000).
28. E. Farhi and S. Gutmann, Ann. Phys. (N.Y.) 213, 182 (1992).
29. G.S. Jeon, B.J. Kim, S.W. Yi, and M.Y. Choi, J. Phys. A 31, 1353 (1998).
30. H.Q. Yuan, U. Grimm, P. Repetowicz, and M. Schreiber, Phys. Rev. B 62, 15569 (2000).
31. F. Triozon, J. Vidal, R. Mosseri, and D. Mayou, Phys. Rev. B 65, 220202(R) (2002).
32. G. Casati, G. Mantica, and D.L. Shepelyansky, Phys. Rev. E 63, 066217 (2001).
33. R. Sankaranarayanan, A. Lakshminarayan, and V.B. Sheorey, Phys. Rev. E 64, 046210 (2001).
34. B.D. Hughes, Random Walks and Random Environments (Clarendon, Oxford, 1995), Vol. 1.