Journal of Statistical Physics

, Volume 15, Issue 1, pp 7–22 | Cite as

Asymptotic time behavior of correlation functions. II. Kinetic and potential terms

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


On the basis of the mode-coupling theory we obtain the long-time behavior ∼t−d/2 for the kinetic, potential, and cross-terms in the Green-Kubo integrands, expressed completely in terms of transport coefficients and thermodynamic quantities. All two-mode amplitudes are explicitly evaluated in terms of measurable quantities such as specific heats, thermal expansion coefficients, etc.

Key words

Nonequilibrium statistical mechanics Green-Kubo formulas time correlation functions mode-coupling formulas long-time tails 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    B. J. Alder and T. E. Wainwright,Phys. Rev. A 1:18 (1970).Google Scholar
  2. 2.
    M. H. Ernst, E. H. Hauge, and J. M. J. van Leeuwen,Phys. Lett. 34A:419 (1971).Google Scholar
  3. 3.
    Y. Pomeau,Phys. Rev. A 5:2569 (1972);7:1134 (1973);Phys. Lett. 38A:245 (1972).Google Scholar
  4. 4.
    K. Kawasaki,Prog. Theor. Phys. Japan 45:1691 (1971);46:1299 (1971).Google Scholar
  5. 5.
    M. H. Ernst, E. H. Hauge, and J. M. J. van Leeuwen,Phys. Rev. A 4:2055 (1971).Google Scholar
  6. 6.
    M. H. Ernst, E. H. Hauge, and J. M. J. van Leeuwen, this issue, following paper.Google Scholar

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

Personalised recommendations