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Journal of Statistical Physics

, Volume 89, Issue 1–2, pp 453–468 | Cite as

Vibrations of simple fractal-based models

  • John C. Kimball
  • Harry L. Frisch
Articles

Abstract

Dynamical systems with fractal geometry can be constructed in a variety of ways: We illustrate this variety with examples based on the Cantor set, the Sierpinski gasket, and on lattices of these fractal-based structures. Depending on the physical parameters, the models can exhibit both discrete and continuous spectra.

Key Words

Fractal lattice vibration Cantor set Sierpinski gasket 

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Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • John C. Kimball
    • 1
  • Harry L. Frisch
    • 2
  1. 1.Department of PhysicsUniversity at AlbanyAlbany
  2. 2.Department of ChemistryUniversity at AlbanyAlbany

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