Advertisement

Journal of Chemical Sciences

, Volume 102, Issue 5, pp 575–579 | Cite as

Density of states of fractons on percolating networks

  • T. Nakayama
  • K. Yakubo
Special Issue on Raman Spectroscopy and its Applications

Abstract

We have performed computer experiments on the dynamics of three-dimensional percolating networks. The results of the densities of states indicate the theoretically expected relationD(ω) ∼ Ω1/3 for scalar displacements. We also present the results of the density of states of fractons in which the Hamiltonian incorporates both bond-stretching and bond-bending force constants.

Keywords

Three-dimensional percolating networks density of state fractons scalar displacements 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Aharony A, Alexander S, Entin-Wohlman O and Orbach R 1985Phys. Rev. B31 2565Google Scholar
  2. Alexander S and Orbach R 1982J. Phys, (Paris) Lett. 43 L625Google Scholar
  3. Courtens E, Vacher R, Pelous J and Woignier T 1988Europhys. Lett. 6 245CrossRefGoogle Scholar
  4. Derrida B, Orbach R and Yu K W 1984Phys. Rev. B29 6645Google Scholar
  5. Feng S 1985Phys. Rev. B32 5793Google Scholar
  6. Fontana A, Rocca F and Fontana M P 1987Phys. Rev. Lett. 58 503CrossRefGoogle Scholar
  7. Kantor Y and Webman I 1984Phys. Rev. Lett. 52 1891CrossRefGoogle Scholar
  8. Rammal R and Toulouse G 1983J. Phys. (Paris) Lett. 44 L13Google Scholar
  9. Rosenberg H M 1985Phys. Rev. Lett. 54 704CrossRefGoogle Scholar
  10. Tsujimi Y, Courtens E, Pelous J and Vacher R 1988Phys. Rev. Lett. 60 2757CrossRefGoogle Scholar
  11. Webman I and Grest G S 1985Phys. Rev. B31 1689Google Scholar
  12. Williams M L and Maris H J 1985Phys. Rev. B31 4508Google Scholar

Copyright information

© Indian Academy of Sciences 1990

Authors and Affiliations

  • T. Nakayama
    • 1
  • K. Yakubo
    • 1
  1. 1.Department of Applied PhysicsHokkaido UniversitySapporoJapan

Personalised recommendations