  It is demonstrated through Monte Carlo simulations that the one component
lattice Coulomb gas model in two dimensions under certain conditions display
features of an anomalous dynamic response. We suggest that pinning, which can
either be due to the underlying discrete lattice or induced by disorder, is an
essential ingredient behind this anomalous behavior. The results are discussed
in relation to other situations where this response type appears, in particular
the two components neutral Coulomb gas below the Kosterlitz-Thouless
transition, as well as in relation to other findings from theory, simulations,
and experiments on superconductors.
