Normal diffusion in crystal structures and higher-dimensional billiard models with gaps (original) (raw)

This paper investigates normal diffusion in the context of crystal structures represented by the Lorentz gas model, focusing on how the presence of gaps between scatterers influences transport processes. By analyzing the geometrical configurations of scatterers, including spherical and cylindrical gaps, the study demonstrates that normal diffusion can occur under specific conditions, such as the finite horizon condition. Key findings indicate that particle behavior varies significantly with different geometries, affecting the diffusion coefficient and the growth rates of moments in diffusion.