Diffusion and Trapping on a one-dimensional lattice
arXiv:cond-mat/9603095 · doi:10.1103/PhysRevE.53.5647
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.
20 pages, Revtex 3.0, 13 figures in compressed format using uufiles command, to appear in Phys. Rev. E, for an hard copy or problems e-mail to: [email protected]
References in corpus (4)
- Weak Non Self-Averaging Behaviour for Diffusion in a Trapping Environment
- Eigenspectrum and Localization for Diffusion with Traps
- Iterated Function System and Diffusion in the Presence of Disorder and Traps
- Diffusion with critically correlated traps and the slow relaxation of the longest wavelength mode