Journal of Statistical Physics

, Volume 19, Issue 4, pp 341–347 | Cite as

Long-time correlation effects on displacement distributions

  • B. J. Alder
  • W. E. Alley


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.

Key words

Displacement distributions long-time correlations Lorentz gas Burnett coefficient percolation point non-Gaussian distribution 


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Copyright information

© Plenum Publishing Corporation 1978

Authors and Affiliations

  • B. J. Alder
    • 1
  • W. E. Alley
    • 1
  1. 1.Lawrence Livermore LaboratoryUniversity of CaliforniaLivermore

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