Journal of Statistical Physics

, Volume 7, Issue 4, pp 329–336 | Cite as

One-dimensional time-dependent distributions

  • David G. Levitt


A new derivation of two important one-dimensional time-dependent distributions for an infinite system of hard rods is presented. This derivation is simpler than previous derivations and it provides a direct physical interpretation of the individual terms in the final expressions. A new, more unusual distribution is also presented and discussed. Finally, an exact expression for the diffusion of a Brownian particle is obtained and compared with the exact expression for the self-diffusion coefficient.

Key words

One-dimensional diffusion conditional self-distribution hard spheres Brownian motion 


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Copyright information

© Plenum Publishing Corporation 1973

Authors and Affiliations

  • David G. Levitt
    • 1
  1. 1.Department of PhysiologyUniversity of Minnesota, Medical SchoolMinneapolis

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