Abstract
A Lorentz gas model with rough periodic boundary conditions is proposed to investigate the boundary effect on thermal transport of noninteracting particles. The normal thermal transport is confirmed as the linear temperature gradient, and length independent thermal conductivity is obtained. We demonstrate that the thermal conductivity indeed decreases as the degree of roughness increases, which is consistent with previous works. Furthermore, we find that the thermal conductivity is oscillating with the degree of the boundary roughness. This interesting phenomenon is related to the successful transport probability of particles, which results from the interference between transporting particles and the periodic boundary conditions.
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