  We present a numerical study of classical particles diffusing on a solid
surface. The particles' motion is modeled by an underdamped Langevin equation
with ordinary thermal noise. The particle-surface interaction is described by a
periodic or a random two dimensional potential. The model leads to a rich
variety of different transport regimes, some of which correspond to anomalous
diffusion such as has recently been observed in experiments and Monte Carlo
simulations. We show that this anomalous behavior is controlled by the friction
coefficient, and stress that it emerges naturally in a system described by
ordinary canonical Maxwell-Boltzmann statistics.
