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Volumn 66, Issue 3, 2002, Pages

Percolation critical exponents in scale-free networks

Author keywords

[No Author keywords available]

Indexed keywords

CHOLESTRIC PHASE; LINEAR DEFECTS; PARTICLE STABILIZATION; RUBBER ELASTICITY;

EID: 41349120185     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.036113     Document Type: Article
Times cited : (275)

References (21)
  • 8
    • 85036244425 scopus 로고    scopus 로고
    • D. Stauffer and A. Aharony, Introduction to Percolation Theory, 2nd ed. (Taylor & Francis, London, 1991)
    • D. Stauffer and A. Aharony, Introduction to Percolation Theory, 2nd ed. (Taylor & Francis, London, 1991).
  • 9
    • 85036294667 scopus 로고    scopus 로고
    • Fractals and Disordered System, edited by A. Bunde, and S. Havlin (Springer, New York, 1996)
    • Fractals and Disordered System, edited by A. Bunde, and S. Havlin (Springer, New York, 1996).
  • 12
    • 85036255694 scopus 로고    scopus 로고
    • It follows that for scale-free networks with (Formula presented) a spanning cluster exists, even before dilution, only for (Formula presented) smaller than a certain critical threshold (Formula presented) (Formula presented) if the distribution (1) is discrete, and (Formula presented) if it is continuous). This spurious transition can be removed, for example, by imposing (Formula presented) and does not concern us here
    • It follows that for scale-free networks with (Formula presented) a spanning cluster exists, even before dilution, only for (Formula presented) smaller than a certain critical threshold (Formula presented) (Formula presented) if the distribution (1) is discrete, and (Formula presented) if it is continuous). This spurious transition can be removed, for example, by imposing (Formula presented) and does not concern us here.
  • 14
    • 85036156415 scopus 로고    scopus 로고
    • D. ben-Avraham and S. Havlin, Diffusion and Reactions in Fractals and Disordered Systems (Cambridge University Press, Cambridge, UK, 2000)
    • D. ben-Avraham and S. Havlin, Diffusion and Reactions in Fractals and Disordered Systems (Cambridge University Press, Cambridge, UK, 2000).
  • 19
    • 85036163305 scopus 로고    scopus 로고
    • G.H. Weiss, Aspects and Applications of the Random Walk (North-Holland, Amsterdam, 1994)
    • G.H. Weiss, Aspects and Applications of the Random Walk (North-Holland, Amsterdam, 1994).
  • 20
    • 85036187017 scopus 로고    scopus 로고
    • For the case (Formula presented) (Formula presented) in Eq. (23) represents the singularity of the distribution of branch sizes. For the distribution of cluster sizes in this range one has to consider the singularity of x in Eq. (8), leading to (Formula presented) for this range
    • For the case (Formula presented) (Formula presented) in Eq. (23) represents the singularity of the distribution of branch sizes. For the distribution of cluster sizes in this range one has to consider the singularity of x in Eq. (8), leading to (Formula presented) for this range.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.