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Some properties of mode coupling equations

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Zeitschrift für Physik B Condensed Matter

Abstract

In this paper it is proven that some classes of mode coupling equations for correlation functions have a unique solution which exhibits all the standard properties like causality and stability. This is done by demonstrating the uniform convergence of an iteration procedure, which was previously used for a numerical solution of these equations.

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References

  1. Zwanzig, R.: J. Chem. Phys.33, 1338 (1960); Phys. Rev.124, 983 (1960);

    Google Scholar 

  2. Mori, H.: Prog. Theor. Phys. (Kyoto)33, 423 (1965)

    Google Scholar 

  3. Forster, D.: Hydrodynamic fluctuations. Menlo Park: Benjamin Inc. 1975

    Google Scholar 

  4. Kawasaki, K.: Phys. Rev.150, 291 (1966)

    Google Scholar 

  5. Wall, H.S.: Analytic theory of continued fractions. Toronto, New York, London: van Nostrand 1948

    Google Scholar 

  6. Götze, W.: Solid State Commun.27, 1393 (1978); J. Phys. C12, 1279 (1979)

    Google Scholar 

  7. Götze, W., Leutheusser, E., Yip, S.: Phys. Rev. A23, 2634; A24, 1008 (1981)

    Google Scholar 

  8. Leutheusser, E.: Phys. Rev. A29, 2765 (1984);

    Google Scholar 

  9. Bengtzelius, U., Götze, W., Sjölander, A.: J. Phys. C17, 5915 (1984)

    Google Scholar 

  10. Götze, W., Sjögren, L.: J. Phys. C17, 5759 (1984);

    Google Scholar 

  11. Götze, W., Haussmann, R.: Z. Phys. B — Condensed Matter72, 403 (1988)

    Google Scholar 

  12. Sjögren, L.: Phys. Scr. T29, 282 (1989)

    Google Scholar 

  13. Götze, W., Sjögren, L.: J. Phys. C21, 3407 (1988)

    Google Scholar 

  14. Götze, W.: Lecture notes “Liquid-Glass Transition”, Troisième cycle de la Physique en Suisse romande, Neuchâtel 1987 (unpublished)

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Author notes

  1. R. Haussmann

    Present address: , Rosmarinweg 3, D-7770, Überlingen, FRG

Authors and Affiliations

  1. Physik-Department, Technischen Universität München, James-Franck-Strasse 2, D-8046, Garching, Federal Republic of Germany

    R. Haussmann

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  1. R. Haussmann
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Haussmann, R. Some properties of mode coupling equations. Z. Physik B - Condensed Matter 79, 143–148 (1990). https://doi.org/10.1007/BF01387835

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  • DOI: https://doi.org/10.1007/BF01387835

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