Hopping diffusion of two coupled particles in the random trap model

R. Descas, K. Mussawisade
2002 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 critical
more » ... erature is twice higher than the critical temperature in the single particle case ͓S. Havlin, B. L. Trus, and G. H. Weiss, J. Phys.
doi:10.1103/physreve.66.051103 pmid:12513463 fatcat:uxku5k3wavchzmjrcfvgokkxe4