Diffusion and Trapping on a one-dimensional lattice

Details Diffusion and Trapping on a one-dimensional lattice Diffusion and Trapping on a one-dimensional lattice

1996-03-13

arxiv.org/abs/cond-mat/9603095v1

Physics

Condensed Matter

20 pages, Revtex 3.0, 13 figures in compressed format using uufiles command, to appear in Phys. Rev. E, for an hard copy or pr

Scientific paper

10.1103/PhysRevE.53.5647

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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