▎ 摘　　要

We investigate the stopping power and the image force on fast ions moving parallel to a graphene sheet caused by the dynamic polarization of carbon valence electrons. We compare the results based on a two-dimensional hydrodynamic model of graphene with those based on a three-dimensional hydrodynamic model which uses in the ground-state the electron density obtained from the Thomas-Fermi class of models for graphene in jellium approximation. It is shown that, at least for high ion speeds, the two-dimensional model underestimates the magnitudes of both the stopping power and the image force. Our results are relevant for consistent modelling of the various interaction forces involved in ion channeling through graphite and through carbon nanotubes. (c) 2006 Elsevier B.V. All rights reserved.