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Computer simulation of localization effects on Euclidean and fractal lattices

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  • Bourbonnais, Roch
  • Benoît, Alain
  • Maynard, Roger

Abstract

We report results obtained from molecular dynamic simulations of a square lattice and a Sierpinski carpet. First, using a novel algorithm we study the effects of mass disorder on the density of states of the carpet. Then results for the “Participation number” P of a pulse excitation are given. They show a non-monotonic variation of P for fractals at weak disorder. This is attributed to a new type of not localized but “channelized” modes which are described.

Suggested Citation

  • Bourbonnais, Roch & Benoît, Alain & Maynard, Roger, 1989. "Computer simulation of localization effects on Euclidean and fractal lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(1), pages 37-41.
    • Handle: RePEc:eee:phsmap:v:157:y:1989:i:1:p:37-41
    DOI: 10.1016/0378-4371(89)90274-4
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    References listed on IDEAS

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    1. Joseph Aharony & Sasson Bar†Yosef, 1987. "Tests of the impact of LIFO adoption on stockholders: A stochastic dominance approach," Contemporary Accounting Research, John Wiley & Sons, vol. 3(2), pages 430-444, March.
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