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Volumn 70, Issue 3 2, 2004, Pages

Universality of the optimal path in the strong disorder limit

Author keywords

[No Author keywords available]

Indexed keywords

OPTIMAL PATH; PERCOLATION CLUSTERS; PERIODIC BOUNDARIES; RANDOM GRAPHS;

EID: 37649027775     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.035102     Document Type: Article
Times cited : (12)

References (27)
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  • 2
    • 0001257558 scopus 로고
    • D. A. Huse and C. L. Henley, Phys. Rev. Lett. 54, 2708 (1985); M. Kardar, ibid. 55, 2923 (1985); D. A. Huse, C. L. Henley, and D. S. Fisher, ibid. 55, 2924 (1985).
    • (1985) Phys. Rev. Lett. , vol.55 , pp. 2923
    • Kardar, M.1
  • 3
    • 3342888190 scopus 로고
    • D. A. Huse and C. L. Henley, Phys. Rev. Lett. 54, 2708 (1985); M. Kardar, ibid. 55, 2923 (1985); D. A. Huse, C. L. Henley, and D. S. Fisher, ibid. 55, 2924 (1985).
    • (1985) Phys. Rev. Lett. , vol.55 , pp. 2924
    • Huse, D.A.1    Henley, C.L.2    Fisher, D.S.3
  • 5
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    • M. Kardar, G. Parisi, and Y.-C. Zhang, Phys. Rev. Lett. 56, 889 (1986); M. Kardar and Y.-C. Zhang, ibid. 58, 2087 (1987).
    • (1987) Phys. Rev. Lett. , vol.58 , pp. 2087
    • Kardar, M.1    Zhang, Y.-C.2
  • 6
    • 0009433452 scopus 로고
    • E. Perlsman and M. Schwanz, Europhys. Lett. 17, 11 (1992); E. Perlsman, M. Schwartz, and S. F. Edwards, ibid. 20, 301 (1992); E. Perlsman and M. Schwartz, Physica A 234, 523 (1996).
    • (1992) Europhys. Lett. , vol.17 , pp. 11
    • Perlsman, E.1    Schwanz, M.2
  • 7
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    • E. Perlsman and M. Schwanz, Europhys. Lett. 17, 11 (1992); E. Perlsman, M. Schwartz, and S. F. Edwards, ibid. 20, 301 (1992); E. Perlsman and M. Schwartz, Physica A 234, 523 (1996).
    • (1992) Europhys. Lett. , vol.20 , pp. 301
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  • 8
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    • E. Perlsman and M. Schwanz, Europhys. Lett. 17, 11 (1992); E. Perlsman, M. Schwartz, and S. F. Edwards, ibid. 20, 301 (1992); E. Perlsman and M. Schwartz, Physica A 234, 523 (1996).
    • (1996) Physica A , vol.234 , pp. 523
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  • 12
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    • M. Cieplak, A. Maritan, and J. R. Banavar, Phys. Rev. Lett. 72, 2320 (1984); 76, 3754 (1996).
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    • Ph.D. thesis, Boston University
    • E. López, Ph.D. thesis, Boston University, 2005.
    • (2003)
    • López, E.1
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    • The value of 1.135 is actually very close to the scaling exponent for the shortest path on a regular percolation cluster in two dimensions, see P. Grassberger, Physica A 262, 251 (1999).
    • (1999) Physica A , vol.262 , pp. 251
    • Grassberger, P.1


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