Abstract
We study the random walk of a particle on a linear chain, where a jump length 1 or 2 is assigned randomly to each lattice site with probability and =1-, respectively. We find that the probability for the particle to be at a site with jump length 1 is different from , which causes the diffusion coefficient D to differ from the mean-field result. A theory is developed that allows us to calculate and D for all values of . In the limit →0, the theory yields a nonanalytic dependence of on ,∼-ln .
DOI:https://doi.org/10.1103/PhysRevE.55.71
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