Optimal paths in strong and weak disorder: A unified approach

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

Volumn 73, Issue 3, 2006, Pages

  Buldyrev, Sergey V ^a,b   Havlin, Shlomo ^b,c   Stanley, H Eugene ^b  

^a YESHIVA UNIVERSITY   (United States)

^b Boston University   (United States)

^c BAR ILAN UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

FRACTAL DIMENSION; TRANSVERSAL DISPLACEMENT; UNIFIED SCALING THEORY;

COMPUTER SIMULATION; FRACTALS; RANDOM PROCESSES; THEOREM PROVING;

CRYSTAL LATTICES;

EID: 33645359741     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.73.036128     Document Type: Article

References (26)

1. D. A. Huse and C. L. Henley, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.54.2708 54, 2708 (1985);
2. M. Kardar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.55.2923 55, 2923 (1985);
3. D. A. Huse, C. L. Henley, and D. S. Fisher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.55.2924 55, 2924 (1985).
4. M. Kardar, G. Parisi, and Y.-C. Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.56.889 56, 889 (1986);
5. M. Kardar and Y.-C. Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.58.2087 58, 2087 (1987).
6. E. Perlsman and M. Schwartz, Europhys. Lett. EULEEJ 0295-5075 17, 11 (1992);
7. M. Schwartz, and S. F. Edwards, Europhys. Lett. EULEEJ 0295-5075 20, 301 (1992);
8. E. Perlsman and M. Schwartz, Physica A PHYADX 0378-4371 10.1016/S0378-4371(96)00237-3 234, 523 (1996);
9. E. Perlsman and S. Havlin, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.010102 63, 010102 (2001).
10. T. Halpin-Healy and Y.-C. Zhang, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(94)00087-J 254, 215 (1995).
11. A.-L. Barabási and H. E. Stanley, Fractal Concepts in Surface Growth (Cambridge University Press, Cambridge, England, 1995).
12. M. Cieplak, A. Maritan, and J. R. Banavar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.2320 72, 2320 (1994);
13. M. Cieplak, A. Maritan, and J. R. Banavar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.3754 76, 3754 (1996).
14. A.-L. Barabási, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.3750 76, 3750 (1996).
15. P. De Los Rios and Y.-C. Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.1023 81, 1023 (1998).
16. N. Schwartz, A. L. Nazaryev, and S. Havlin, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.7642 58, 7642 (1998).
17. M. Porto, N. Schwartz, S. Havlin, and A. Bunde, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.R2448 60, R2448 (1999).
18. L. A. Braunstein, S. V. Buldyrev, S. Havlin, and H. E. Stanley, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.056128 65, 056128 (2002).
19. L. A. Braunstein, S. V. Buldyrev, R. Cohen, S. Havlin, and H. E. Stanley, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.168701 91, 168701 (2003).
20. S. Sreenivasan, T. Kalisky, L. A. Braunstein, S. V. Buldyrev, S. Havlin, and H. E. Stanley, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.046133 70, 046133 (2004).
21. Y. M. Strelniker, S. Havlin, R. Berkovits, and A. Frydman, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.016121 72, 016121 (2005).
22. Z. Wu, E. Lopez, S. V. Buldyrev, L. A. Braunstein, S. Havlin, and H. E. Stanley, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.045101 71, 045101 (R) (2005).
23. T. Kalisky, L. A. Braunstein, S. V. Buldyrev, S. Havlin, and H. E. Stanley, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.025102 72, 025102 (R) (2005).
24. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in C (Cambridge University Press, Cambridge, England, 2002).
25. Fractals and Disordered Systems, edited by, A. Bunde, and, S. Havlin, (Springer-Verlag, Berlin, 1996).
26. D. Stauffer and A. Aharony, Introduction to Percolation Theory (Taylor & Francis, Philadelphia, 1994).