Computer simulation of localization effects on Euclidean and fractal lattices

Roch Bourbonnais, Alain Benoît and Roger Maynard

Physica A: Statistical Mechanics and its Applications, 1989, vol. 157, issue 1, 37-41

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.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:157:y:1989:i:1:p:37-41

DOI: 10.1016/0378-4371(89)90274-4

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