Ondulating 2D waveguides. Dynamical and transport properties

We study the transport of non-interaction particles traveling in 2D waveguides, periodic in one direction. In particular, we study waveguides with smooth profiles yielding generic Hamiltonian chaos. We compute their diffusion @s^2(t) and the time evolution of particle density. We find normal and super-diffusive behavior depending on the underlying dynamics. We compare our results with those of the Lorentz channel, the serpent billiard, and polygonal billiards.