Scaling Arguments for Dynamic Structure Factors

  • Tsuneyoshi Nakayama
  • Kousuke Yakubo
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 140)


Inelastic scattering experiments provide rich information on dynamic properties of fractal structures. A variety of scattering experiments have been performed that are sensitive to vibrational modes in fractals, among which inelastic neutron scattering (INS) and light scattering experiments are especially important for investigating the dynamics of fractal structures. The energy of neutrons of appropriate wavelengths λ for structural and dynamic studies corresponds to thermal energies at temperatures from a few kelvin to well above room temperature. Because of this wavelength— energy relation, neutron scattering becomes a powerful technique for studying static and dynamic structure on atomic scales.


Fractal Structure Silica Aerogel Localization Length Inelastic Neutron Scatter Dynamic Structure Factor 
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  1. 7.1
    J.M. Carpenter, C.A. Pelizzari: Phys. Rev. B 12, 2391 (1975)ADSCrossRefGoogle Scholar
  2. 7.2
    D.L. Price, J.M. Carpenter: J. Non-Cryst. Solids 92, 153 (1987)ADSCrossRefGoogle Scholar
  3. 7.3
    S. Alexander, E. Courtens, R. Vacher: Physica A 195, 286 (1993)ADSCrossRefGoogle Scholar
  4. 7.4
    S.W. Lovesey: Theory of Thermal Neutron Scattering (Clarendon Press, Oxford 1984)Google Scholar
  5. 7.5
    G.L. Squires: Introduction to the Theory of Neutron Scattering (Cambridge University Press, London 1984)Google Scholar
  6. 7.6
    T. Nakayama, K. Yakubo: Phys. Rep. 349, 239 (2001)MathSciNetADSzbMATHCrossRefGoogle Scholar
  7. 7.7
    T. Terao, T. Nakayama: Phys. Rev. B 53, R2918 (1996)ADSCrossRefGoogle Scholar
  8. 7.8
    T. Nakayama, K. Yakubo: J. Phys. Soc. Jpn. 61, 2601 (1992)ADSCrossRefGoogle Scholar
  9. 7.9
    A.F. Ioffe, A.R. Regel: Prog. Semicond. 4, 237 (1960)Google Scholar
  10. 7.10
    S. John, H. Sompolinsky, M. Stephen: Phys. Rev. B 27, 5592 (1983)ADSCrossRefGoogle Scholar
  11. 7.11
    Y. Tsujimi, E. Courtens, J. Pelous, R. Vacher: Phys. Rev. Lett. 60, 2757 (1988)ADSCrossRefGoogle Scholar
  12. 7.12
    V. Mazzacurati, M. Montagna, O. Pilla, G. Villani, G. Ruocco, G. Signorelli: Phys. Rev. B 45, 2126 (1992)ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Tsuneyoshi Nakayama
    • 1
  • Kousuke Yakubo
    • 1
  1. 1.Department of Applied Physics, Graduate School of EngineeringHokkaido UniversitySapporoJapan

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