Predictability of anomalous transport on lattice networks with quenched disorder

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

Volumn 83, Issue 3, 2011, Pages

  Kang, Peter K ^a   Dentz, Marco ^b   Juanes, Ruben ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b INSTITUTE OF ENVIRONMENTAL ASSESSMENT AND WATER RESEARCH   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ANOMALOUS TRANSPORT; COARSE GRAINING; CONTINUOUS-TIME RANDOM WALK; ENSEMBLE AVERAGING; LAGRANGIAN; PARTICLE DENSITIES; QUENCHED DISORDER; SPATIAL HETEROGENEITY; STOCHASTIC TRANSPORT; TRANSPORT BEHAVIOR; TRANSPORT MODELS;

EID: 79953159520     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.030101     Document Type: Article

References (24)

1. B. S. Kerner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81. 3797 81, 3797 (1998).
2. D. Helbing, I. Farkas, and T. Vicsek, Nature (London) NATUAS 0028-0836 10.1038/35035023 407, 487 (2000).
3. M. Prakash and N. Gershenfeld, Science SCIEAS 0036-8075 10.1126/science.1136907 315, 832 (2007).
4. I. Y. Wong, M. L. Gardel, D. R. Reichman, E. R. Weeks, M. T. Valentine, A. R. Bausch, and D. A. Weitz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.178101 92, 178101 (2004).
5. B. Berkowitz and H. Scher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.4038 79, 4038 (1997).
6. E. López, S. V. Buldyrev, S. Havlin, and H. E. Stanley, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.248701 94, 248701 (2005). (Pubitemid 41636519)
7. J. D. Noh and H. Rieger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.118701 92, 118701 (2004).
8. L. K. Gallos, C. Song, S. Havlin, and H. A. Makse, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0700250104 104, 7746 (2007). (Pubitemid 47185822)
9. A.-L. Barabási, Science SCIEAS 0036-8075 10.1126/science.1173299 325, 412 (2009).
10. C. Nicolaides, L. Cueto-Felgueroso, and R. Juanes, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.055101 82, 055101 (R) (2010).
11. V. Colizza, R. Pastor-Satorras, and A. Vespignani, Nat. Phys. ZZZZZZ 1745-2473 10.1038/nphys560 3, 276 (2007).
12. H. Nakao and A. S. Mikhailov, Nat. Phys. ZZZZZZ 1745-2473 10.1038/nphys1651 6, 544 (2010).
13. M. C. González, C. A. Hidalgo, and A.-L. Barabási, Nature (London) NATUAS 0028-0836 10.1038/nature06958 453, 779 (2008). (Pubitemid 351793783)
14. J. Candia, M. C. González, P. Wang, T. Schoenharl, G. Madey, and A.-L. Barabási, J. Phys. A: Math. Theor. ZZZZZZ 1751-8113 10.1088/1751-8113/41/22/224015 41, 224015 (2008).
15. E. W. Montroll and G. H. Weiss, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1704269 6, 167 (1965).
16. H. Scher and E. W. Montroll, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.12.2455 12, 2455 (1975).
17. J. Klafter and R. Silbey, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.44.55 44, 55 (1980).
18. R. Metzler and J. Klafter, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(00)00070-3 339, 1 (2000).
19. T. Le Borgne, M. Dentz, and J. Carrera, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.090601 101, 090601 (2008).
20. M. Dentz and A. Castro, Geophys. Res. Lett. GPRLAJ 0094-8276 10.1029/2008GL036846 36, L03403 (2009).
21. E. Eisenberg, S. Havlin, and G. H. Weiss, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.2827 72, 2827 (1994).
22. M. Dentz, D. Bolster, and T. Le Borgne, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.010101 80, 010101 (R) (2009).
23. J. P. Bouchaud, A. Comtet, A. Georges, and P. Le Doussal, Ann. Phys. APNYA6 0003-4916 10.1016/0003-4916(90)90043-N 201, 285 (1990).
24. B. Berkowitz, A. Cortis, M. Dentz, and H. Scher, Rev. Geophys. REGEEP 8755-1209 10.1029/2005RG000178 44, RG2003 (2006). (Pubitemid 46044201)