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Volumn 61, Issue 1, 2000, Pages 104-125

Nonlinear measures for characterizing rough surface morphologies

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FRACTAL DIMENSION; LAMINATES; MORPHOLOGY;

EID: 0001472854     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.104     Document Type: Article
Times cited : (99)

References (68)
  • 11
    • 3843052729 scopus 로고    scopus 로고
    • Height configurations have also been derived (for buried interfaces) from dark-field transmission-electron-microscope images: see X. Chen and J. M. Gibson, Phys. Rev. Lett. 81, 4919 (1998).
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 4919
    • Chen, X.1    Gibson, J.M.2
  • 12
    • 85036373515 scopus 로고    scopus 로고
    • Our treatment is limited to a single-valued height field; thus coarse graining of (Formula presented) is mandatory when overhangs are present at atomic length scales, and we do not consider the case when overhangs persist to large scales
    • Our treatment is limited to a single-valued height field; thus coarse graining of (Formula presented) is mandatory when overhangs are present at atomic length scales, and we do not consider the case when overhangs persist to large scales.
  • 13
    • 85036418094 scopus 로고    scopus 로고
    • A.-L. Barabási and H. E. Stanley, Fractal Concepts in Surface Growth (Cambridge University Press, Cambridge, 1995); see also
    • A.-L. Barabási and H. E. Stanley, Fractal Concepts in Surface Growth (Cambridge University Press, Cambridge, 1995); see
  • 29
    • 85036256104 scopus 로고    scopus 로고
    • For lattice models that map to logarithmically rough Gaussian surfaces, the probability that two loops with radii larger than R have a distance of closest approach smaller than r vanishes as a power of (Formula presented) (Ref
    • For lattice models that map to logarithmically rough Gaussian surfaces, the probability that two loops with radii larger than R have a distance of closest approach smaller than r vanishes as a power of (Formula presented) (Ref. 34).
  • 33
    • 85036310793 scopus 로고    scopus 로고
    • The equality in Eq. (4.5) depends on s and G being defined with compatible normalizations, which is the case for lattice height models
    • The equality in Eq. (4.5) depends on s and G being defined with compatible normalizations, which is the case for lattice height models.
  • 35
  • 45
    • 0000453074 scopus 로고
    • probably provides a faster crossover to the asymptotic behavior than the single-step model
    • In retrospect, the Kim-Kosterlitz model [J. M. Kim and J. M. Kosterlitz, Phys. Rev. Lett. 62, 2289 (1989)] probably provides a faster crossover to the asymptotic behavior than the single-step model.
    • (1989) Phys. Rev. Lett. , vol.62 , pp. 2289
    • Kim, J.M.1    Kosterlitz, J.M.2
  • 46
    • 85036255522 scopus 로고    scopus 로고
    • This makes the algorithm nonlocal, since the rate at which deposition occurs on an allowed site depends on the number of such sites in the rest of the system
    • This makes the algorithm nonlocal, since the rate at which deposition occurs on an allowed site depends on the number of such sites in the rest of the system.
  • 54
    • 85036177262 scopus 로고    scopus 로고
    • P. Kleban, J. Krim, and C. Ruffing, in Proceedings of the Symposium on “Structure and Evolution of Surfaces,” edited by R. C. Cammarata, E. H. Chason, T. L. Einstein, and E. D. Williams, MRS Symposia Proceedings No. 440 (Materials Research Society, Pittsburgh, 1997)
    • P. Kleban, J. Krim, and C. Ruffing, in Proceedings of the Symposium on “Structure and Evolution of Surfaces,” edited by R. C. Cammarata, E. H. Chason, T. L. Einstein, and E. D. Williams, MRS Symposia Proceedings No. 440 (Materials Research Society, Pittsburgh, 1997).
  • 59
    • 85036359809 scopus 로고    scopus 로고
    • The ensemble distribution functions (for many independent samples) of the systemwide height variance is another characterization of roughness; see Ref. 35
    • The ensemble distribution functions (for many independent samples) of the systemwide height variance is another characterization of roughness; see Ref. 35.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.