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Volumn 66, Issue 1, 2002, Pages

Survival probability and order statistics of diffusion on disordered media

Author keywords

[No Author keywords available]

Indexed keywords

BENZENE; COMPLEXATION; DISPERSIONS; FUNCTIONS; INTEGRAL EQUATIONS; INTERFACES (MATERIALS); SELF ASSEMBLY; SOLVENTS; SURFACE ROUGHNESS; SYNTHESIS (CHEMICAL); VECTORS;

EID: 37649028055     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.011110     Document Type: Article
Times cited : (6)

References (46)
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    • Fractals and Disordered Systems, edited by A. Bunde and S. Havlin (Springer-Verlag, Berlin, 1996).
  • 3
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    • D. Stauffer and A. Aharony, Introduction to Percolation Theory, 2nd ed. (Springer-Verlag, Berlin, 1996).
  • 4
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    • S. Havlin and A. Bunde in Contemporary Problems in Statistical Physics, edited by G. H. Weiss (SIAM, Philadelphia, 1994) pp. 103–146
    • S. Havlin and A. Bunde in Contemporary Problems in Statistical Physics, edited by G. H. Weiss (SIAM, Philadelphia, 1994) pp. 103–146.
  • 6
    • 85036214670 scopus 로고    scopus 로고
    • B. H. Hughes, Random Walks and Random Environments, (Clarendon Press, Oxford, 1995), Vol. 1;, Random Walks and Random Environments (Clarendon Press, Oxford, 1996), Vol. 2
    • B. H. Hughes, Random Walks and Random Environments, (Clarendon Press, Oxford, 1995), Vol. 1;Random Walks and Random Environments (Clarendon Press, Oxford, 1996), Vol. 2.
  • 7
    • 85036348995 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).
  • 14
    • 4243310818 scopus 로고    scopus 로고
    • Phys. Rev. ES.B. YusteL. Acedo 61, 2340 (2000);
    • (2000) , vol.61 , pp. 2340
    • Yuste, S.B.1    Acedo, L.2
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    • Yuste, S.B.1    Acedo, L.2
  • 28
    • 85036298649 scopus 로고    scopus 로고
    • Recent advances in optical spectroscopy [see T. Bache, W. E. Moerner, M. Orrit, and U. P. Wild, Single-Molecule Optical Detection, Imaging and Spectroscopy (VCH, Weinheim, 1996)
    • Recent advances in optical spectroscopy [see T. Bache, W. E. Moerner, M. Orrit, and U. P. Wild, Single-Molecule Optical Detection, Imaging and Spectroscopy (VCH, Weinheim, 1996);
  • 30
    • 85035255476 scopus 로고    scopus 로고
    • X.S. XieJ.K. Trautmanor the section “Single Molecules” in Science 283, 1667 (1999)] make it possible to monitor this kind of multiparticle dynamic process. In fact, the simultaneous and individual tracking of (Formula presented) fluorescently labeled diffusing particles is a useful recent technique for characterizing heterogeneous microenvironments;
    • (1999) Science , vol.283 , pp. 1667
    • Xie, X.S.1    Trautman, J.K.2
  • 32
    • 85036255666 scopus 로고    scopus 로고
    • For Euclidean media, the survival probability can be found by solving the diffusion equation with an absorbing spherical boundary placed at the Euclidean distance r. For the class of deterministic fractal media discussed in Ref. 14, the survival probability is found by renormalization techniques
    • For Euclidean media, the survival probability can be found by solving the diffusion equation with an absorbing spherical boundary placed at the Euclidean distance r. For the class of deterministic fractal media discussed in Ref. 14, the survival probability is found by renormalization techniques.
  • 33
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    • A key fact that supported the conjecture was that the asymptotic relation for (Formula presented) obtained in Ref. 9 for disordered fractals can also be reobtained from Eq. (1). However, it was found later 12 18 that that relation for (Formula presented) is not valid for disordered fractals
    • A key fact that supported the conjecture was that the asymptotic relation for (Formula presented) obtained in Ref. 9 for disordered fractals can also be reobtained from Eq. (1). However, it was found later 1218 that that relation for (Formula presented) is not valid for disordered fractals.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.