Competition between quenched disorder and long-range connections: A numerical study of diffusion

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

Volumn 85, Issue 1, 2012, Pages

  Juhász, Róbert ^a  

^a WIGNER RESEARCH CENTRE FOR PHYSICS   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

CRITICAL POINTS; DYNAMICAL EXPONENTS; FORCE FIELDS; GRAPH DIMENSION; LONG-RANGE CONNECTION; MEAN-SQUARE DISPLACEMENT; NUMERICAL STUDIES; ONE DIMENSION; QUENCHED DISORDER; RANDOM ENVIRONMENT; RANDOM WALK; RENORMALIZATION GROUP METHODS; STRONG DISORDERS; UPPER AND LOWER BOUNDS;

RANDOM PROCESSES; STATISTICAL MECHANICS;

NUMERICAL METHODS;

EID: 84856551146     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.85.011118     Document Type: Article

References (42)

1. E. Luijten and H. W. J. Blöte, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.56.8945 56, 8945 (1997).
2. M. Henkel, H. Hinrichsen, and S. Lübeck, Nonequilibrium Phase Transitions (Springer, Berlin, 2008).
3. J. P. Bouchaud and A. Georges, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(90)90099-N 195, 217 (1990).
4. B. D. Hughes, M. F. Shlesinger, and E. W. Montroll, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.78.6.3287 78, 3287 (1981);
5. M. F. Shlesinger, G. M. Zaslavsky, and J. Klafter, Nature (London) NATUAS 0028-0836 10.1038/363031a0 363, 31 (1993).
6. S. Havlin and D. Ben-Avraham, Adv. Phys. ADPHAH 0001-8732 10.1080/00018738700101072 36, 695 (1987).
7. J. M. Luck, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(83)90047-0 225, 169 (1983).
8. D. S. Fisher, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.30.960 30, 960 (1984).
9. Ya. G. Sinai, Theory Probab. Appl. 0040-585X 10.1137/1127028 27, 256 (1982).
10. H. C. Fogedby, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73. 2517 73, 2517 (1994);
11. H. C. Fogedby, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.58.1690 58, 1690 (1998).
12. B. K. Chakrabarti, A. C. Maggs, and R. B. Stinchcombe, J. Phys. A: Math. Gen. JPHAC5 0305-4470 10.1088/0305-4470/18/7/008 18, L373 (1985).
13. D. Chowdhury and B. Chakrabarti, J. Phys. A: Math. Gen. JPHAC5 0305-4470 10.1088/0305-4470/18/7/009 18, L377 (1985).
14. M. E. J. Newman, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1026485807148 101, 819 (2000). (Pubitemid 33214123)
15. J. M. Kleinberg, Nature (London) NATUAS 0028-0836 10.1038/35022643 406, 845 (2000). (Pubitemid 30664249)
16. M. E. J. Newman and D. J. Watts, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(99)00757-4 263, 341 (1999).
17. I. Benjamini and N. Berger, Rand. Struct. Alg. PYLAAG 1042-9832 10.1002/rsa.1022 19, 102 (2001).
18. P. Sen and B. Chakrabarti, J. Phys. A: Math. Gen. JPHAC5 0305-4470 10.1088/0305-4470/34/38/303 34, 7749 (2001).
19. C. F. Moukarzel and M. Argollo de Menezes, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.65.056709 65, 056709 (2002). (Pubitemid 40606939)
20. D. Coppersmith, D. Gamarnik, and M. Sviridenko, Rand. Struct. Alg. JPHAC5 1042-9832 10.1002/rsa.10042 21, 1 (2002). (Pubitemid 37347033)
21. M. Biskup, Ann. Prob. APBYAE 0091-1798 10.1214/009117904000000577 32, 2933 (2004). (Pubitemid 39526087)
22. S. Goswami, S. Biswas, and P. Sen, Physica A PHYADX 0378-4371 10.1016/j.physa.2010.10.024 390, 972 (2011).
23. M. A. Muñoz, R. Juhász, C. Castellano, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.128701 105, 128701 (2010).
24. G. Castellano, and R. Juhász, C. Castellano, and M. A. Muñoz, AIP Conf. Proc. 1332, 172 (2011).
25. F. Iglói and C. Monthus, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2005.02.006 412, 277 (2005). (Pubitemid 40717173)
26. R. Juhász, L. Santen, and F. Iglói, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.72.046129 72, 046129 (2005). (Pubitemid 41777939)
27. R. Juhász, J. Phys. A: Math. Theor. PRPLCM 1751-8113 10.1088/1751-8113/41/31/315001 41, 315001 (2008).
28. C. Monthus and T. Garel, J. Phys. A: Math. Theor. PRPLCM 1751-8113 10.1088/1751-8113/41/25/255002 41, 255002 (2008);
29. C. Monthus and T. Garel, J. Stat. Mech. 10.1088/1742-5468/2008/07/P07002 (2008) P07002;
30. C. Monthus and T. Garel, J. Phys. A: Math. Theor. PRPLCM 1751-8113 10.1088/1751-8113/41/37/375005 41, 375005 (2008);
31. C. Monthus and T. Garel, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.011138 81, 011138 (2010).
32. S. Pigolotti and A. Vulpiani, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2907242 128, 154114 (2008). (Pubitemid 351596375)
33. M. Aizenman and C. M. Newman, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01205489 107, 611 (1986).
34. N. Berger, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/s002200200617 226, 531 (2002). (Pubitemid 36195038)
35. S. Jespersen and A. Blumen, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.62.6270 62, 6270 (2000). (Pubitemid 32033305)
36. R. Juhász, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78. 066106 78, 066106 (2008).
37. Y. Gefen, A. Aharony, and S. Alexander, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.50.77 50, 77 (1983).
38. Y. Gefen and I. Goldhirsch, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.35.8639 35, 8639 (1987).
39. S. K. Ma, C. Dasgupta, and C. K. Hu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.43.1434 43, 1434 (1979).
40. D. S. Fisher, P. Le Doussal, and C. Monthus, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.3539 80, 3539 (1998);
41. P. Le Doussal, C. Monthus, and D. S. Fisher, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.59.4795 59, 4795 (1999).
42. R. Juhász, Y.-C. Lin, and F. Iglói, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.73.224206 73, 224206 (2006). (Pubitemid 43971818)