  Using a non-perturbative classical approach, we study the dynamics of a
mobile particle interacting with an infinite one-dimensional (1D) chain of
harmonic oscillators. This minimal system is an effective model for many 1D
transport phenomena, such as molecular motion in nanotubes and ionic conduction
through solid-state materials. As expected, coupling between the mobile
particle and the chain induces dissipation of the mobile particle's energy.
However, both numerical and analytic results demonstrate an unconventional
non-monotonic dependence of the drag on particle speed. In addition, when this
system is subjected to a constant bias, it supports multiple steady-state drift
velocities.
