Abstract
The distribution of displacements in a fluid of hard disks is found by molecular dynamics to be non-Gaussian in the long-time limit, as surmised from the moments of the distribution that yield divergent diffusion and Burnett coefficients. On the other hand, for the Lorentz gas of hard disks, the distribution of displacements is Gaussian in the long-time limit and the diffusion coefficient exists, though the autocorrelation functions have power law tails, which lead to divergent Burnett coefficients.
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This work was performed under the auspices of the U.S. Department of Energy by the Lawrence Livermore Laboratory under contract No. W-7405-ENG-48.
In partial fulfillment of the requirement for the Degree of Doctor of Philosophy at the Department of Applied Science, University of California, Davis, California.
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Alder, B.J., Alley, W.E. Long-time correlation effects on displacement distributions. J Stat Phys 19, 341–347 (1978). https://doi.org/10.1007/BF01011753
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DOI: https://doi.org/10.1007/BF01011753