Abstract
The classical motion of an electron of high enough energy in a two-dimensional crystal is diffusive for many potentials with Coulomb singularities. A simple model of the dynamics is developed which predicts the dependence of the diffusion constantD on the particle energyE in the high-energy limit:D(E)∼const·E 3/2. This diffusion law is checked for a concrete crystal by numerically integrating the Hamilton equations for an ensemble of initial conditions. Finally this method is compared with other models of the classical dynamics in a crystal, especially the Sinai billiard.
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Nobbe, B. Classical motion in two-dimensional crystals. J Stat Phys 78, 1591–1605 (1995). https://doi.org/10.1007/BF02180144
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DOI: https://doi.org/10.1007/BF02180144