Abstract
The random motion of two interacting particles in a periodic potential with a finite number of sites is investigated as a model that may be applied to superionic conductivity. Starting from the Fokker-Planck-equation for the model and using an appropriate series expansion for the probability density, solutions for the frequency dependent conductivity are given. Explicit numerical results are shown for hard-core and Coulomb interaction in the range of intermediate and high friction constants.
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Vollmer, H.D. Two particle model for the diffusion of interacting particles in periodic potentials. Z Physik B 33, 103–109 (1979). https://doi.org/10.1007/BF01325818
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DOI: https://doi.org/10.1007/BF01325818