Velocity and diffusion coefficient of a random asymmetric one-dimensional hopping model
- 1 January 1989
- journal article
- Published by EDP Sciences in Journal de Physique
- Vol. 50 (8) , 899-921
- https://doi.org/10.1051/jphys:01989005008089900
Abstract
The velocity and the diffusion coefficient of a particle on a periodic one-dimensional lattice of period N with random asymmetric hopping rates are calculated in a simple way through a recursion relation method, which allows for an analogy at large times with a strictly directed walk. The results for a completely random system are obtained by taking the limit N → ∞. A dynamical scaling calculation of the velocity and of the diffusion coefficient in an infinite disordered lattice is shown to yield the same resultsKeywords
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