Journal of Statistical Physics

, Volume 33, Issue 2, pp 261–286 | Cite as

Mode coupling from linear and nonlinear kinetic equations

  • James W. Dufty
  • Rosalío F. Rodríguez


The calculation of mode coupling contributions to equilibrium time correlation functions from the nonlinear Boltzmann equation is reconsidered. It is suggested that the use of a nonlinear kinetic equation is not appropriate in this context, but instead such calculations should be reinterpreted in terms of the Klimontovich equation for the microscopic phase space density. For hard spheres the Klimontovich equation is formally similar to the nonlinear Boltzmann equation, and this similarity is exploited to explain the successful calculation of mode coupling effects from the latter. The relationship of the Klimontovich formulation to the linear ring approximation is also established.

Key words

Kinetic equation Klimontovich equation time correlation functions mode coupling hard spheres nonlinear dynamics 


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Copyright information

© Plenum Publishing Corporation 1983

Authors and Affiliations

  • James W. Dufty
    • 1
  • Rosalío F. Rodríguez
    • 1
  1. 1.Thermophysics DivisionNational Bureau of StandardsWashington, D.C.

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