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Hopping diffusion of two coupled particles in the random trap model
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
We show that the hopping dynamics of two strongly connected particles can be mapped exactly to single particle dynamics. In this way we are able to calculate the exact asymptotic diffusion coefficient of two connected particles on a linear chain in the random trap model. In particular we calculate the diffusion coefficient for exponentially distributed site energies and show that there exists a critical temperature below which a subdiffusive behavior appears. It turns out that this criticaldoi:10.1103/physreve.66.051103 pmid:12513463 fatcat:uxku5k3wavchzmjrcfvgokkxe4