Journal of Statistical Physics

, Volume 15, Issue 1, pp 23–58 | Cite as

Asymptotic time behavior of correlation functions. III. Local equilibrium and mode-coupling theory

  • M. H. Ernst
  • E. H. Hauge
  • J. M. J. van Leeuwen


The decay to equilibrium is discussed from a general point of view based on the assumed rapid approach to local equilibrium for well-chosen initial states. The assumption is applied to the problem of time correlation functions and it is shown that the mode-coupling formula describes the asymptotics of the so-called projected wavenumber-dependent correlation functions. The local equilibrium assumption thus provides a general basis for thet−3/2 behavior of correlation functions derived in previous papers in this series, as well as for the infinite series of correction termst−(2−Pn (n⩾ 2), withPn=2−n, and for the corresponding series of corrections of orderk3−Pn (n⩾1) to Navier-Stokes hydrodynamics.

Key words

Nonequilibrium statistical mechanics local equilibrium assumptions generalized hydrodynamics Green-Kubo formulas modecoupling formulas long-time tails 


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Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • M. H. Ernst
    • 1
  • E. H. Hauge
    • 2
  • J. M. J. van Leeuwen
    • 3
  1. 1.Instituut voor Theoretische FysicaRijksuniversiteitUtrechtThe Netherlands
  2. 2.Institutt for Teoretisk FysikkUniversitetet i TrondheimTrondheim-NTHNorway
  3. 3.Laboratorium voor Technische NatuurkundeTechnische HogeschoolDelftThe Netherlands

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