Random walks of a particle on fractal lattices with traps

The random walk of a particle on a fractal lattice is considered in the presence of a static distribution of perfect traps. We show that the survival probability Φ( t) is strongly affected by the fluctuations of the trap density. The asymptotic decay is shown to be governed by the spectral dimension...

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Bibliographic Details
Published in:Physics letters. A 1984-01, Vol.102 (3), p.117-120
Main Author: Rammal, R.
Format: Article
Language:English
Subjects:
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Electronic transport in condensed matter
Exact sciences and technology
Physics
Theory of electronic transport
scattering mechanisms
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Summary:The random walk of a particle on a fractal lattice is considered in the presence of a static distribution of perfect traps. We show that the survival probability Φ( t) is strongly affected by the fluctuations of the trap density. The asymptotic decay is shown to be governed by the spectral dimension d of the fractal. A general scaling law for the decay of Φ( t) in t (time) and p (trap density) is proposed for d < 2. The considered fluctuation mechanism dominates the large-time limit for all d and the limits of its validity are obtained.
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(84)90793-X