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arXiv · cond-mat/9603095

Diffusion and Trapping on a one-dimensional lattice

Achille Giacometti·K. P. N. Murthy
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Abstract

The properties of a particle diffusing on a one-dimensional lattice where at each site a random barrier and a random trap act simultaneously on the particle are investigated by numerical and analytical techniques. The combined effect of disorder and traps yields a decreasing survival probability with broad distribution (log-normal). Exact enumerations, effective-medium approximation and spectral analysis are employed. This one-dimensional model shows rather rich behaviours which were previously believed to exist only in higher dimensionality. The possibility of a trapping-dominated super universal class is suggested.

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Achille Giacometti, K. P. N. Murthy. 1996-03-13. Diffusion and Trapping on a one-dimensional lattice. https://doi.org/10.1103/physreve.53.5647

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