Abstract
The regular Lorentz gas on triangular lattice is studied numerically and analytically. The velocity correlation function is shown to decay exponentially in the number of collisions with a decay rate which vanishes as the scatterers approach close packing. The crossover to power law decay at close packing is described by a scaling function.
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Machta, J., Reinhold, B. Decay of correlations in the regular Lorentz gas. J Stat Phys 42, 949–959 (1986). https://doi.org/10.1007/BF01010456
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DOI: https://doi.org/10.1007/BF01010456