Journal of Statistical Physics

, Volume 36, Issue 3–4, pp 401–433 | Cite as

The long time and Brownian limits for tagged particle motion in liquids

  • A. Masters
  • T. Keyes


Formally exact theories of tagged particle motion in liquids are developed, based upon kinetic theory for hard spheres and mode coupling for smooth potentials. It is shown that the resulting equations are tractable in the long time and Brownian limits. The coefficient of the long time tail of the velocity correlation function is seen to differ from its low-density form by only the replacement of the low-density viscosity and diffusion constant by the true viscosity and diffusion constant. In the Brownian limit, the slip Stokes-Einstein law is obtained, with the true viscosity. The relation to other work is discussed.

Key words

Kinetic theory mode coupling long time tails Brownian limits Stokes-Einstein law 


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Copyright information

© Plenum Publishing Corporation 1984

Authors and Affiliations

  • A. Masters
    • 1
  • T. Keyes
    • 1
  1. 1.Sterling Chemistry LaboratoryYale UniversityNew Haven

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