Abstract

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 σ2(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.

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