Skip to main content
SpringerLink
Log in

Dynamical structure factor of a one-dimensional harmonic liquid: Comparison of different approximation methods

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

We calculate the dynamical structure factor of a linear chain of particles with harmonic interactions, a model which is frequently discussed for Hg3-δAsF6 and superionic conductors.S(q,ω) either consists of a quasielastic peak or of an inelastic peak with finite halfwidth. Based on numerically exact results we compare different approximation methods —a continued fraction expansion and a mode-coupling approximation. It turns out that at small wave vectors the mode-coupling approach leads to wrong results even qualitatively. Otherwise both methods are well suited to describe the liquid-like behaviour of the system. We also present a new method to terminate continued fractions which is able to provide a fast convergence.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Wagner, F.: Z. Phys.216, 433 (1968); Z. Phys.218, 260 (1969)

    Article  Google Scholar 

  2. Månson, M.: J. Phys. C7, 4073 (1974)

    Google Scholar 

  3. Résibois, P., Leener, M. de: Phys. Lett.25A, 65 (1967)

    Google Scholar 

  4. Résibois, P., Piette, C.: Phys. Rev. Lett.24, 514 (1970)

    Article  Google Scholar 

  5. Kawasaki, K.: Ann. Phys. (N.Y.)61, 1 (1970); In: Phase transitions and critical phenomena. Domb, C., Green, M.S. (eds.), Vol. 5 A. London: Academic Press Inc. 1976

    Article  Google Scholar 

  6. Lovesey, S.W., Meserve, R.A.: J. Phys. C6, 79 (1973)

    Google Scholar 

  7. Pomeau, Y.: Résibois, P.: Phys. Rep.19C, 63 (1975)

    Article  Google Scholar 

  8. Bosse, J., Götze, W., Lücke, M.: Phys. Rev. A17, 434 (1978)

    Article  Google Scholar 

  9. Raedt, H. de: Phys. Rev. B19, 2585 (1979)

    Article  Google Scholar 

  10. Heller, P., Blume, M.: Phys. Rev. Lett.39, 962 (1977); J. Appl. Phys.49, 1331 (1978)

    Article  Google Scholar 

  11. Beyeler, H.U.: Phys. Rev. Lett.37, 1557 (1976)

    Article  Google Scholar 

  12. Geisel, T.: Phys. Rev. B20, 4294 (1979); Solid State Commun.32, 739 (1979)

    Article  Google Scholar 

  13. Heilmann, I.U., Axe, J.D., Hastings, J.M., Shirane, G., Heeger, A.-J., MacDiarmid, A.G.: Phys. Rev. B20, 751 (1979)

    Article  Google Scholar 

  14. Mikeska, H.-J.: Solid State Commun.13, 73 (1973)

    Article  Google Scholar 

  15. Emery, V.J., Axe, J.D.: Phys. Rev. Lett.40, 1507 (1978)

    Article  Google Scholar 

  16. Yoshida, T., Shobu, K., Mori, H.: Prog. Theor. Phys.66, 759 (1981);66, 1160 (1981)

    Google Scholar 

  17. Zwanzig, R.: In: Lectures in theoretical physics. Brittin, W.E., Downs, B.W., Downs, J. (eds.), Vol. 3. New York: Interscience 1961

    Google Scholar 

  18. Mori, H.: Prog. Theor. Phys.33, 423 (1965);34, 399 (1965)

    Google Scholar 

  19. Forster, D.: Hydrodynamic fluctuations, broken symmetry, and correlation functions. Elmsford, NY: W.B. Benjamin, Inc. 1975

    Google Scholar 

  20. Raedt, H. de, Raedt, B. de: Phys. Rev. B15, 5379 (1977)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Theoretische Physik der Universität Regensburg, Universitätsstrasse 31, D-8400, Regensburg, Germany

    G. Radons, J. Keller & T. Geisel

Authors
  1. G. Radons
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. Keller
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. T. Geisel
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Radons, G., Keller, J. & Geisel, T. Dynamical structure factor of a one-dimensional harmonic liquid: Comparison of different approximation methods. Z. Physik B - Condensed Matter 50, 289–296 (1983). https://doi.org/10.1007/BF01470040

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01470040

Keywords

Search

Navigation