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 behaviors which were previously believed to exist only in higher dimensionality. The possibility of a trapping-dominated super-universal-class is suggested.

Diffusion and Trapping on a one-dimensional lattice

GIACOMETTI, Achille;
1996-01-01

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 behaviors which were previously believed to exist only in higher dimensionality. The possibility of a trapping-dominated super-universal-class is suggested.
1996
53
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10278/17350
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